Harmonic Polylogarithms

Abstract

The harmonic polylogarithms (hpl's) are introduced. They are a generalization of Nielsen's polylogarithms, satisfying a product algebra (the product of two hpl's is in turn a combination of hpl's) and forming a set closed under the transformation of the arguments x=1/z and x=(1-t)/(1+t). The coefficients of their expansions and their Mellin transforms are harmonic sums.

18 pages LaTeX

Cited by in corpus (756)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Multiloop integrals in dimensional regularization made simple
• Differential Equations for Two-Loop Four-Point Functions
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Classical Polylogarithms for Amplitudes and Wilson Loops
• NNLO corrections to top-pair production at hadron colliders: the all-fermionic scattering channels
• NNLO corrections to top pair production at hadron colliders: the quark-gluon reaction
• Antenna Subtraction at NNLO
• Magic identities for conformal four-point integrals
• Numerical evaluation of multiple polylogarithms
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Two-loop light fermion contribution to Higgs production and decays
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data
• The Multiple Zeta Value Data Mine
• Lectures on differential equations for Feynman integrals
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
• Higgs production and decay: Analytic results at next-to-leading order QCD
• From polygons and symbols to polylogarithmic functions
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The planar topologies
• Bootstrapping the three-loop hexagon
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• PolyLogTools - Polylogs for the masses
• Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
• Numerical Evaluation of Harmonic Polylogarithms
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• Massive Feynman diagrams and inverse binomial sums
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Double-real radiation in hadronic top quark pair production as a proof of a certain concept
• Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Towards a Basis for Planar Two-Loop Integrals
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
• Finite top quark mass effects in NNLO Higgs boson production at LHC
• The Two-Loop Hexagon Wilson Loop in N = 4 SYM
• Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop
• Two-loop electroweak corrections to Higgs production at hadron colliders
• Feynman Diagrams and Differential Equations
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Loops in AdS from Conformal Field Theory
• Testing new physics with the electron g-2
• Analytic Results for Virtual QCD Corrections to Higgs Production and Decay
• The Quark Form Factor at Higher Orders
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The non-planar topologies
• Bootstrapping an NMHV amplitude through three loops
• Soft triple-real radiation for Higgs production at N3LO
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Calculation of the transverse parton distribution functions at next-to-next-to-leading order
• The Longitudinal Structure Function at the Third Order
• Uniqueness of two-loop master contours
• New results for the epsilon-expansion of certain one-, two- and three-loop Feynman diagrams
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• Motivic Multiple Zeta Values and Superstring Amplitudes
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• High-precision calculation of the 4-loop contribution to the electron g-2 in QED
• The Two-Loop QCD Matrix Element for $e^{+}{e}^{-}\to 3$ Jets
• The Standard Model Prediction of the Muon Anomalous Magnetic Moment
• Three-loop corrections to the soft anomalous dimension in multi-leg scattering
• Two-loop QCD Corrections to the Heavy Quark Form Factors: the Vector Contributions
• Numerical Evaluation of Two-Dimensional Harmonic Polylogarithms
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills
• Second-order QCD corrections to the thrust distribution
• Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Hexagon functions and the three-loop remainder function
• Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
• Magnus and Dyson Series for Master Integrals
• An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM
• Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD
• Elliptic polylogarithms and iterated integrals on elliptic curves I: general formalism
• The singular behavior of massive QCD amplitudes
• Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Extension of HPL to complex arguments
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Pentagon functions for massless planar scattering amplitudes
• Higher-Order Corrections in Threshold Resummation
• Structural Relations of Harmonic Sums and Mellin Transforms up to Weight w = 5
• A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics
• Elliptic polylogarithms and iterated integrals on elliptic curves II: an application to the sunrise integral
• Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations
• - XSummer - Transcendental Functions and Symbolic Summation in Form
• Theory of the tau lepton anomalous magnetic moment
• Leading singularities and off-shell conformal integrals
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• Single-valued harmonic polylogarithms and the multi-Regge limit
• MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections
• Six-Gluon Amplitudes in Planar $\mathcal{N}=4$ Super-Yang-Mills Theory at Six and Seven Loops
• Cuts of Feynman Integrals in Baikov representation
• Analytic two-loop form factors in N=4 SYM
• Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph
• Infrared structure of e+e- --> 3 jets at NNLO
• Transverse parton distribution functions at next-to-next-to-leading order: the quark-to-quark case
• Elliptic Feynman integrals and pure functions
• Expansion around half-integer values, binomial sums and inverse binomial sums
• Iterative structure of finite loop integrals
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Higgs boson production at the LHC using the $q_T$ subtraction formalism at N${}^3$LO QCD
• Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours
• Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order
• Two-Loop Fermionic Corrections to Heavy-Quark Pair Production: the Quark-Antiquark Channel
• On soft singularities at three loops and beyond
• epsilon: A tool to find a canonical basis of master integrals
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• Two-loop splitting functions in QCD
• On Third-Order Timelike Splitting Functions and Top-Mediated Higgs Decay into Hadrons
• The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension
• Third-order QCD corrections to the charged-current structure function F_3
• FeynCalc 10: Do multiloop integrals dream of computer codes?
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams
• Computer Algebra Algorithms for Special Functions in Particle Physics
• The three-loop cusp anomalous dimension in QCD
• Bootstrapping the QCD soft anomalous dimension
• QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops
• Evaluating single-scale and/or non-planar diagrams by differential equations
• The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N}=4$ SYM Amplitudes
• The Theory of Deeply Inelastic Scattering
• The Energy-Energy Correlation at Next-to-Leading Order in QCD, Analytically
• Two-loop QED and QCD corrections to massless fermion-boson scattering
• Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• Constructing d-log integrands and computing master integrals for three-loop four-particle scattering
• Three-mass triangle integrals and single-valued polylogarithms
• Vector boson fusion at NNLO in QCD: SM Higgs and beyond
• Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
• The cusp anomalous dimension at three loops and beyond
• On the Next-to-Next-to-Leading Order Evolution of Flavour-Singlet Fragmentation Functions
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Drell-Yan lepton-pair production: $q_T$ resummation at N${}^3$LL accuracy and fiducial cross sections at N${}^3$LO
• An Elliptic Generalization of Multiple Polylogarithms
• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• On the Generalized Harmonic Polylogarithms of One Complex Variable
• Symbolic Expansion of Transcendental Functions
• Feynman integrals and hyperlogarithms
• The open superstring 5-point amplitude revisited
• Inclusive Heavy Flavor Hadroproduction in NLO QCD: the Exact Analytic Result
• Analytical Result for Dimensionally Regularized Massive On-Shell Planar Double Box
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Anomaly Contributions
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• Two-Loop Planar Corrections to Heavy-Quark Pair Production in the Quark-Antiquark Channel
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Master integrals with 2 and 3 massive propagators for the 2-loop electroweak form factor - planar case
• Running coupling and power corrections in nonlinear evolution at the high--energy limit
• A non-planar two-loop three-point function beyond multiple polylogarithms
• On hyperlogarithms and Feynman integrals with divergences and many scales
• Analytic result for a two-loop five-particle amplitude
• Transverse momentum dependent PDFs at N${}^3$LO
• Analytic results for the planar double box integral relevant to top-pair production with a closed top loop
• Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Elliptic polylogarithms and Feynman parameter integrals
• On form factors in N=4 sym
• Charged Current Drell-Yan Production at N3LO
• Analytic Continuation of Massless Two-Loop Four-Point Functions
• Four-gluon scattering at three loops, infrared structure and Regge limit
• Iterated Binomial Sums and their Associated Iterated Integrals
• Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives
• Master Integrals for the 2-loop QCD virtual corrections to the Forward-Backward Asymmetry
• Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral
• New differential equations for on-shell loop integrals
• Double Higgs boson production at NLO in the high-energy limit: complete analytic results
• Two-loop QCD helicity amplitudes for $q\bar{q}\to W^{\pm }\gamma$ and $q\bar{q}\to Z^0\gamma$
• Solving differential equations for Feynman integrals by expansions near singular points
• The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(α_s^3)
• Fragmentation in Jets at NNLO
• EERAD3: Event shapes and jet rates in electron-positron annihilation at order ${\alpha }_s^3$
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• NNLO BFKL Pomeron eigenvalue in N=4 SYM
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
• Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
• Bootstrapping pentagon functions
• Precise mass-dependent QED contributions to leptonic g-2 at order alpha^2 and alpha^3
• Pentagon Functions for One-Mass Planar Scattering Amplitudes
• NNLO Vertex Corrections in charmless hadronic B decays: Imaginary part
• Matter dependence of the four-loop cusp anomalous dimension
• On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x
• Master integrals for massive two-loop Bhabha scattering in QED
• Two-loop QCD correction to differential semi-leptonic b --> u decays in the shape-function region
• The massless two-loop two-point function
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable
• Real-Virtual contributions to the inclusive Higgs cross-section at N3LO
• The double-trace spectrum of N=4 SYM at strong coupling
• Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction
• HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran
• Two-Loop QCD Corrections to the Heavy Quark Form Factors: Axial Vector Contributions
• Analytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region
• Analytic result for the nonplanar hexa-box integrals
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the planar graphs
• The algebraic structure of cut Feynman integrals and the diagrammatic coaction
• Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders
• Cluster algebras for Feynman integrals
• Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• On non-singlet physical evolution kernels and large-x coefficient functions in perturbative QCD
• Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements
• Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
• Analytic Continuation of the Harmonic Sums for the 3--Loop Anomalous Dimensions
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• Master integrals with one massive propagator for the two-loop electroweak form factor
• Determining the closed forms of the $O(a_s^3)$ anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra
• Analytic results for two-loop master integrals for Bhabha scattering I
• Analytical Evaluation of Dimensionally Regularized Massive On-Shell Double Boxes
• Deriving canonical differential equations for Feynman integrals from a single uniform weight integral
• Analytic Next-To-Leading Order Calculation of Energy-Energy Correlation in Gluon-Initiated Higgs Decays
• The four-loop cusp anomalous dimension in N=4 super Yang-Mills and analytic integration techniques for Wilson line integrals
• Energy-energy correlations at next-to-next-to-leading order
• Emergence of Calabi-Yau manifolds in high-precision black hole scattering
• NNLO corrections to inclusive semileptonic B decays in the shape-function region
• QED vertex form factors at two loops
• NNLO vertex corrections in charmless hadronic B decays: Real part
• Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
• On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering
• Two-loop helicity amplitudes for diphoton plus jet production in full color
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• Two-Loop Leading Color Corrections to Heavy-Quark Pair Production in the Gluon Fusion Channel
• From multiple unitarity cuts to the coproduct of Feynman integrals
• Two-loop electroweak corrections to the Higgs-boson decay H -> gamma gamma
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• Heavy-to-heavy quark decays at NNLO
• $O({\alpha }_s^2)$ Timelike Wilson Coefficients for Parton-Fragmentation Functions in Mellin Space
• Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs
• The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges
• Master integrals for the two-loop light fermion contributions to $gg\to H$ and $H\to \gamma \gamma$
• The Double Pentaladder Integral to All Orders
• The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
• Feynman integrals as A-hypergeometric functions
• Two-body non-leptonic heavy-to-heavy decays at NNLO in QCD factorization
• Three-loop master integrals for ladder-box diagrams with one massive leg
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Two-loop amplitudes with nested sums: Fermionic contributions to e+ e- --> q qbar g
• A Three-Point Form Factor Through Five Loops
• Numerical evaluation of loop integrals
• Cluster adjacency beyond MHV
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Two-loop leading-colour QCD helicity amplitudes for Higgs boson production in association with a bottom-quark pair at the LHC
• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• Precise numerical evaluation of the two loop sunrise graph Master Integrals in the equal mass case
• Baikov-Lee Representations Of Cut Feynman Integrals
• NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization
• Three-loop evolution equation for flavor-nonsinglet operators in off-forward kinematics
• The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2,F_L,x{F}_3$ and $g_1$
• Two-Loop Formfactors in Theories with Mass Gap and Z-Boson Production
• Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
• The $O({\alpha }_s^3{n}_f{T}_F^2{C}_{A,F})$} Contributions to the Gluonic Massive Operator Matrix Elements
• Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• The QCD form factor of heavy quarks at NNLO
• NLO Antenna Subtraction with Massive Fermions
• Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation
• On the reduction of generalized polylogarithms to ${\text{Li}}_n$ and ${\text{Li}}_{2,2}$ and on the evaluation thereof
• The $n_f^2$ contributions to fermionic four-loop form factors
• The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2,N_F)}$
• All-loop infrared-divergent behavior of most-subleading-color gauge-theory amplitudes
• Four-loop quark form factor with quartic fundamental colour factor
• Towards all-order Laurent expansion of generalized hypergeometric functions around rational values of parameters
• Evaluation of Feynman integrals with arbitrary complex masses via series expansions
• Three-loop gluon scattering in QCD and the gluon Regge trajectory
• Light quark mass effects in the on-shell renormalization constants
• Differential Higgs production at N3LO beyond threshold
• On a procedure to derive $\epsilon$-factorised differential equations beyond polylogarithms
• The $O({\alpha }_s^2)$ Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities
• Next-to-Leading Order QCD Corrections to the Decay Width $H\to Z\gamma$
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• The Pentabox Master Integrals with the Simplified Differential Equations approach
• Fragmentation Functions at Next-to-Next-to-Leading Order Accuracy
• The O(α_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element
• Using differential equations to compute two-loop box integrals
• Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box
• Light-quark two-loop corrections to heavy-quark pair production in the gluon fusion channel
• Exact Correlation Functions in Conformal Fishnet Theory
• The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals
• Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
• RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
• All order epsilon-expansion of Gauss hypergeometric functions with integer and half/integer values of parameters
• Decays of Scalar and Pseudoscalar Higgs Bosons into Fermions: Two-loop QCD Corrections to the Higgs-Quark-Antiquark Amplitude
• Fermionic pentagons and NMHV hexagon
• The two-loop five-particle amplitude in $\mathcal{N}=8$ supergravity
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• Subtraction with hadronic initial states at NLO: an NNLO-compatible scheme
• Planar box diagram for the (N_F = 1) 2-loop QED virtual corrections to Bhabha scattering
• Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
• Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Higgs boson production at the LHC: NNLO partonic cross sections through order $\epsilon$ and convolutions with splitting functions to N${}^3$LO
• Two-Loop Form Factors in QED
• Differential reduction of generalized hypergeometric functions from Feynman diagrams: One-variable case
• Universal four-dimensional representation of $H\to \gamma \gamma$ at two loops through the Loop-Tree Duality
• Double-Higgs boson production in the high-energy limit: planar master integrals
• On top-pair hadro-production at next-to-next-to-leading order
• Two-Loop Master Integrals for the Planar QCD Massive Corrections to Di-photon and Di-jet Hadro-production
• One-Loop Single-Real-Emission Contributions to $pp\to H+X$ at Next-to-Next-to-Next-to-Leading Order
• Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method
• Two-Loop N_F=1 QED Bhabha Scattering Differential Cross Section
• Analytic integration of real-virtual counterterms in NNLO jet cross sections II
• Multi-Loop Positivity of the Planar $\mathcal{N}=4$ SYM Six-Point Amplitude
• Non-singlet structure functions beyond the next-to-next-to leading order
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements
• Folding Amplitudes into Form Factors: An Antipodal Duality
• Gluon-fusion Higgs production in the Standard Model Effective Field Theory
• Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• The Energy-Energy Correlation in the back-to-back limit at N${}^3$LO and N${}^3$LL${}^{\prime }$
• The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass
• Analytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell
• Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers
• The Heavy Quark Form Factors at Two Loops
• The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory
• Algorithms and tools for iterated Eisenstein integrals
• NNLO corrections to B --> X_u l nu in the shape-function region
• Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes
• Lifting Heptagon Symbols to Functions
• The Heavy Fermion Contributions to the Massive Three Loop Form Factors
• Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs
• Numerical Implementation of Harmonic Polylogarithms to Weight w = 8
• Towards the NNLO evolution of polarised parton distributions
• Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT${}_4$
• Periods and Feynman integrals
• Double-real corrections at O(alpha alpha_s) to single gauge boson production
• The ice cone family and iterated integrals for Calabi-Yau varieties
• Generalised ladders and single-valued polylogarithms
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
• Four-graviton scattering to three loops in $\mathcal{N}=8$ supergravity
• Two-Loop Fermionic Corrections to Massive Bhabha Scattering
• Small-mass effects in heavy-to-light form factors
• Mixed QCD-electroweak corrections to W-boson production in hadron collisions
• mr: a C++ library for the matching and running of the Standard Model parameters
• Some remarks on the epsilon-expansion of dimensionally regulated Feynman diagrams
• NNLO QCD$\times$EW corrections to Z production in the $q\bar{q}$ channel
• Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points
• Exact Top Yukawa corrections to Higgs boson decay into bottom quarks
• Analytic Computing Methods for Precision Calculations in Quantum Field Theory
• The FORM project
• About higher order epsilon-expansion of some massive two- and three-loop master-integrals
• Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• TMD Fragmentation Functions at N${}^3$LO
• Heavy Quark Form Factors at Three Loops in the Planar Limit
• Revisiting the S-matrix approach to the open superstring low energy effective lagrangian
• The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer
• Duality between Wilson loops and gluon amplitudes
• Massive three-loop form factor in the planar limit
• Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$
• Recursion relations for Hylleraas three-electron integral
• Antenna subtraction with massive fermions at NNLO: Double real initial-final configurations
• Soft gluon emission at two loops in full color
• Differences between charged-current coefficient functions
• From Webs to Polylogarithms
• Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution
• Three-loop on-shell Feynman integrals with two masses
• Two-loop QCD helicity amplitudes for $gg\to Zg$ and $gg\to Z\gamma$
• Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order
• NNLO QCD predictions for W+c-jet production at the LHC
• The electron self-energy in QED at two loops revisited
• Matching QCD and HQET heavy-light currents at three loops
• $O({\alpha }_s)$ Heavy Flavor Corrections to Charged Current Deep-Inelastic Scattering in Mellin Space
• Electroweak prodution of top-quark pairs in e+e- annihilation at NNLO in QCD: the vector contributions
• Heavy-to-light currents at NNLO in SCET and semi-inclusive anti-B ---> X(s) l+ l- decay
• Loop-by-loop Differential Equations for Dual (Elliptic) Feynman Integrals
• N-jettiness beam functions at N3LO
• Nonperturbative Negative Geometries: Amplitudes at Strong Coupling and the Amplituhedron
• The O(α_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x,Q^2) at Large Momentum Transfer
• Electron, muon and tau magnetic moments: a theoretical update
• Two-loop QED radiative corrections to the decay pi0 -> e+ e- : The virtual corrections and soft-photon bremsstrahlung
• The Kinetic Heavy Quark Mass to Three Loops
• Moments of heavy quark correlators with two masses: exact mass dependence to three loops
• Jet mass with a jet veto at two loops and the universality of non-global structure
• Next-to-next-to-leading order calculations for heavy-to-light decays
• Superstring amplitudes and the associator
• Critical O(N) model to order ${\epsilon }^4$ from analytic bootstrap
• On the relation between the $\overline{\mathrm{MS}}$ and the kinetic mass of heavy quarks
• Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
• The three-loop single mass polarized pure singlet operator matrix element
• Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations
• MPL - a program for computations with iterated integrals on moduli spaces of curves of genus zero
• Two-Loop Bhabha Scattering in QED
• MT: a Mathematica package to compute convolutions
• Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation
• The two-mass contribution to the three-loop pure singlet operator matrix element
• Massive planar and non-planar double box integrals for light Nf contributions to gg->tt
• Analytical evaluation of cosmological correlation functions
• The elliptic double box and symbology beyond polylogarithms
• The real radiation antenna function for $S\to Q\bar{Q}q\bar{q}$ at NNLO QCD
• Two-loop Master Integrals with the Simplified Differential Equations approach
• Hexagon OPE Resummation and Multi-Regge Kinematics
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• On the all-order epsilon-expansion of generalized hypergeometric functions with integer values of parameters
• Two-Loop Self-Energy Corrections to the Fine-Structure
• Systematics of the cusp anomalous dimension
• The NNLO soft function for the pair invariant mass distribution of boosted top quarks
• Two-Loop Master Integrals for $q\bar{q}\to VV$: the Planar Topologies
• Meromorphic modular forms and the three-loop equal-mass banana integral
• Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter
• Precision Studies of the NNLO DGLAP Evolution at the LHC with CANDIA
• One-loop string corrections to AdS amplitudes from CFT
• Two-loop diagrams in non-relativistic QCD with elliptics
• Antipodal Self-Duality for a Four-Particle Form Factor
• P-wave contribution to third-order top-quark pair production near threshold
• The one-loop pentagon to higher orders in epsilon
• Three-loop helicity amplitudes for quark-gluon scattering in QCD
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• Symbol Alphabets from the Landau Singular Locus
• Three loop anomalous dimension of the non-singlet transversity operator in QCD
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Mixed NNLO QCD x electroweak corrections of O(N_f α_s α) to single-W/Z production at the LHC
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• A Numerical Routine for the Crossed Vertex Diagram with a Massive-Particle Loop
• Multiple Gluon Exchange Webs
• Multi-Regge Limit of the Two-Loop Five-Point Amplitudes in $\mathcal{N}=4$ Super Yang-Mills and $\mathcal{N}=8$ Supergravity
• The two-loop soft function for heavy quark pair production at future linear colliders
• The Complete Two-Loop Integrated Jet Thrust Distribution In Soft-Collinear Effective Theory
• Analytic results for planar three-loop integrals for massive form factors
• NumExp: Numerical epsilon expansion of hypergeometric functions
• The BFKL equation, Mueller-Navelet jets and single-valued harmonic polylogarithms
• The role of leading twist operators in the Regge and Lorentzian OPE limits
• Manifestly Dual-Conformal Loop Integration
• GiNaC - Symbolic computation with C++
• The Polarized Transition Matrix Element $A_{gq}(N)$ of the Variable Flavor Number Scheme at $O({\alpha }_s^3)$
• Next-to-Next-to-Leading-Order QCD Prediction for the Photon-Pion Form Factor
• Unpolarized Quark and Gluon TMD PDFs and FFs at N${}^3$LO
• The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element $A_{gg,Q}^{(3)}$
• Subleading Regge limit from a soft anomalous dimension
• Higgs decay into massive b-quarks at NNLO QCD in the nested soft-collinear subtraction scheme
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Analytical expressions of 3 and 4-loop sunrise Feynman integrals and 4-dimensional lattice integrals
• All loop structures in Supergravity Amplitudes on $Ad{S}_5\times S^5$ from CFT
• Functional relations for elliptic polylogarithms
• Calculation of the Two-Loop Heavy-Flavor Contribution to Bhabha Scattering
• Two-Loop QCD Corrections to Higgs $\to b+\bar{b}+g$ Amplitude
• Two-loop coefficient function for DVCS: Vector contributions
• NNLO virtual and real leptonic corrections to muon-electron scattering
• Three-loop massive tadpoles and polylogarithms through weight six
• Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering
• Exact results for $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ with two mass scales and up to three loops
• Double Virtual corrections for gluon scattering at NNLO
• $H\to b\overline{b}j$ at Next-to-Next-to-Leading Order Accuracy
• Next-to-Leading Order QCD Corrections to Inclusive Heavy-Flavor Production in Polarized Deep-Inelastic Scattering
• Next-to-next-to-leading order QCD corrections to the photon's parton structure
• The six-point remainder function to all loop orders in the multi-Regge limit
• Numerical multi-loop integrals and applications
• Symbology for elliptic multiple polylogarithms and the symbol prime
• Two-loop anomalous dimension for the resummation of non-global observables
• Canonical Differential Equations Beyond Genus One
• Subleading Logarithmic QED Initial State Corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/{Z^0}^{\ast }$ to $O({\alpha }^6{L}^5)$
• Two-Loop Vertices in Quantum Field Theory: Infrared and Collinear Divergent Configurations
• High-Energy Expansion of Two-Loop Massive Four-Point Diagrams
• Off-shell two loop QCD vertices
• Three-loop mixed QCD-electroweak corrections to Higgs boson gluon fusion
• Three-loop vacuum integrals with arbitrary masses
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• Higher order QCD corrections in exclusive charmless B decays
• Three-loop contributions to the $\rho$ parameter and iterated integrals of modular forms
• The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
• Two-loop mixed QCD-EW corrections to $gg\to Hg$
• A complete set of scalar master integrals for massive 2-loop Bhabha scattering: where we are
• Analytical evaluation of AdS${}_4$ Witten diagrams as flat space multi-loop Feynman integrals
• Analytic approximations of $2\to 2$ processes with massive internal particles
• Three loop renormalization of 3-quark operators in QCD
• Series and epsilon-expansion of the hypergeometric functions
• The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering
• Finite remainders of the Konishi at two loops in $\mathcal{N}=4$ SYM
• Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD
• The three-loop polarized pure singlet operator matrix element with two different masses
• Master integrals for the NNLO virtual corrections to $q\bar{q}\to t\bar{t}$ scattering in QCD: the non-planar graphs
• On one-loop corrections to the Bunch-Davies wavefunction of the universe
• The LBK theorem to all orders
• Two-loop non-leptonic penguin amplitude in QCD factorization
• Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a $W$ pair and to the triple gauge couplings $ZWW$ and ${\gamma }^{\ast }WW$
• Massive three-loop form factors: anomaly contribution
• The $N_f{C}_F^3$ contribution to the non-singlet splitting function at four-loop order
• On the computation of finite bottom-quark mass effects in Higgs boson production
• Electroweak top-quark pair production at the LHC with $Z^{\prime }$ bosons to NLO QCD in POWHEG
• The analytic structure and the transcendental weight of the BFKL ladder at NLL accuracy
• Bilinear quark operators in the RI/SMOM scheme at three loops
• Bootstrapping elliptic Feynman integrals using Schubert analysis
• Master Integrals for two-loop QCD corrections to Quasi PDFs
• Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions
• Internal Reduction method for computing Feynman Integrals
• The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{gg,Q}$ and $\Delta A_{gg,Q}$
• Analytic three-loop QCD corrections to top-quark and semileptonic $b\to u$ decays
• Two-loop electroweak corrections to Higgs-gluon couplings to higher orders in the dimensional regularization parameter
• Towards single-valued polylogarithms in two variables for the seven-point remainder function in multi-Regge-kinematics
• Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel
• NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$
• Transverse momentum dependent parton densities in processes with heavy quark generations
• Two-loop helicity amplitudes for $H+$jet production to higher orders in the dimensional regulator
• Reference results for time-like evolution up to $\mathcal{O}({\alpha }_s^3)$
• Two-Loop Massive Quark Jet Functions in SCET
• IBP methods at finite temperature
• The analytic value of a 4-loop sunrise graph in a particular kinematical configuration
• The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering
• Two-Loop integrals for CP-even heavy quarkonium production and decays: Elliptic Sectors
• Two-Loop Five-Point Two-Mass Planar Integrals and Double Lagrangian Insertions in a Wilson Loop
• Cutting the traintracks: Cauchy, Schubert and Calabi-Yau
• Four-particle scattering amplitudes in QCD at NNLO to higher orders in the dimensional regulator
• First order radiative corrections to Bhabha scattering in $d$ dimensions
• NNLO leptonic and hadronic corrections to Bhabha scattering and luminosity monitoring at meson factories
• Analytic result for the top-quark width at next-to-next-to-leading order in QCD
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Polarized semi-inclusive deep-inelastic scattering at NNLO in QCD
• Double-real contribution to the quark beam function at N${}^3$LO QCD
• A new method for taming tensor sum-integrals
• Universal Higher Order Singlet QED Corrections to Unpolarized Lepton Scattering
• Fully exclusive heavy quark-antiquark pair production from a colourless initial state at NNLO in QCD
• Evaluating multiloop Feynman integrals by Mellin-Barnes representation
• Hypergeometric representation of a four-loop vacuum bubble
• The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg,Q}^{(3)}$
• Three-loop massive form factors: complete light-fermion corrections for the vector current
• A matrix model for the latitude Wilson loop in ABJM theory
• TVID 2: Evaluation of planar-type three-loop self-energy integrals with arbitrary masses
• Massive kite diagrams with elliptics
• NNLO QCD corrections to unpolarized and polarized SIDIS
• The first-order factorizable contributions to the three-loop massive operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$
• The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^{+}-W^{-}}(x,Q^2)$ and $F_2^{W^{+}-W^{-}}(x,Q^2)$
• The complete singlet contribution to the massless quark form factor at three loops in QCD
• Mixed QCD-electroweak corrections to Higgs production via gluon fusion in the small mass approximation
• Two-loop master integrals for non-leptonic heavy-to-heavy decays
• Higher loop mixed correlators in N=4 SYM
• On Epsilon Expansions of Four-loop Non-planar Massless Propagator Diagrams
• The SAGEX Review on Scattering Amplitudes, Chapter 4: Multi-loop Feynman Integrals
• Exact scattering amplitudes in conformal fishnet theory
• Iterated integrals over letters induced by quadratic forms
• $\epsilon$-regular basis for non-polylogarithmic multiloop integrals and total cross section of the process $e^{+}{e}^{-}\to 2(Q\bar{Q})$
• Towards three-loop QCD corrections to the time-like splitting functions
• The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering
• Symmetric $\epsilon$- and $(\epsilon +1/2)$-forms and quadratic constraints in "elliptic" sectors
• The light-fermion contribution to the exact Higgs-gluon form factor in QCD
• Beam functions for $N$-jettiness at N${}^3$LO in perturbative QCD
• Regularization-scheme dependence of QCD amplitudes in the massive case
• Third-order QCD results on form factors and coefficient functions
• Three-loop cusp anomalous dimension and a conjecture for $n$ loops
• Schottky-Kronecker forms and hyperelliptic polylogarithms
• Two loop QCD corrections for the process Pseudo-scalar Higgs $\to 3$ partons
• "Sixth root of unity" and Feynman diagrams: hypergeometric function approach point of view
• Triple-real contribution to the quark beam function in QCD at next-to-next-to-next-to-leading order
• $\epsilon$-Expansion of Multivariable Hypergeometric Functions Appearing in Feynman Integral Calculus
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• $O({\alpha }_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2\gg m^2$
• Two-Loop QCD Helicity Amplitudes for (2+1)-Jet Production in Deep Inelastic Scattering
• $\mathcal{O}(\alpha {\alpha }_s)$ corrections to the $\gamma t\bar{t}$ vertex at the top quark threshold
• A planar four-loop form factor and cusp anomalous dimension in QCD
• An Infinite Family of Elliptic Ladder Integrals
• The Full-Color Two-Loop Four-Gluon Amplitude in $\mathcal{N}=2$ Super-QCD
• On the calculation of soft phase space integral
• Mathematical Structure of Anomalous Dimensions and QCD Wilson Coefficients in Higher Order
• Master integrals for splitting functions from differential equations in QCD
• Imaginary parts and discontinuities of Wilson line correlators
• Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops
• Antenna subtraction at NNLO with identified hadrons
• The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms
• The property of maximal transcendentality: calculation of master integrals
• High-precision calculation of the 4-loop QED contribution to the slope of the Dirac form factor
• Cutting massless four-loop propagators
• Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums
• Top-quark pair production at next-to-next-to-leading order QCD in electron positron collisions
• Two-Loop integrals for CP-even heavy quarkonium production and decays
• Evaluating four-loop conformal Feynman integrals by D-dimensional differential equations
• Two-loop running effects in Higgs physics in Standard Model Effective Field Theory
• Neutral and Charged Current Semi-Inclusive Deep-Inelastic Scattering at NNLO QCD
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Computational challenges for multi-loop collider phenomenology
• The inverse Mellin transform via analytic continuation
• Two-loop representations of low-energy pion form factors and pi-pi scattering phases in the presence of isospin breaking
• Isospin breaking in the phases of the Ke4 form factors
• ABJM quantum spectral curve and Mellin transform
• The non-first-order-factorizable contributions to the three-loop single-mass operator matrix elements $A_{Qg}^{(3)}$ and $\Delta A_{Qg}^{(3)}$
• Comparison of NNLO DIS scheme splitting functions with results from exact gluon kinematics at small x
• The property of maximal transcendentality: calculation of Feynman integrals
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Three-loop banana integrals with four unequal masses
• Two-Loop QCD Correction to massive spin-2 resonance $\to$ 3 gluons
• The SAGEX Review on Scattering Amplitudes, Chapter 15: The Multi-Regge Limit
• Self-duality from twisted cohomology
• First results for three-loop deep-inelastic structure functions in QCD
• Algorithms to Evaluate Multiple Sums for Loop Computations
• Higher-genus Fay-like identities from meromorphic generating functions
• Lepton pair production at NNLO in QED with EW effects
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
• The QCD Splitting Functions at Three Loops: Methods and Results
• Two-loop QCD corrections to the $V\to q\bar{q}g$ helicity amplitudes with axial-vector couplings
• Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges
• Manifestly Causal Loop-Tree Duality
• Renormalization of twist-two operators in covariant gauge to three loops in QCD
• Two-Loop master integrals for heavy-to-light form factors of two different massive fermions
• Laurent series expansion of a class of massive scalar one-loop integrals up to ${\cal O}(\ep^2)$ in terms of multiple polylogarithms
• The QED Initial State Corrections to the Forward-Backward Asymmetry of $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{0\ast }$ to Higher Orders
• Two-Loop QED Bound-State Calculations and Squared Decay Rates
• Automatizing the application of Mellin-Barnes representations for Feynman integrals
• Next-to-leading Log Resummation of Scalar and Pseudoscalar Higgs Boson Differential Cross-Sections at the LHC and Tevatron
• Recoil corrections to the energy levels of hydrogenic atoms
• Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
• The real-virtual antenna functions for $S\to Q\bar{Q}X$ at NNLO QCD
• Soft anomalous dimensions and resummation in QCD
• A $QQ\to QQ$ planar doublebox in canonical form
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• Heavy quark form factors in the large ${\beta }_0$ limit
• On canonical differential equations for Calabi-Yau multi-scale Feynman integrals
• On series and integral representations of some NRQCD master integrals
• Massive two-loop four-point Feynman integrals at high energies with AsyInt
• Position-space cuts for Wilson line correlators
• Twisted Riemann bilinear relations and Feynman integrals
• Systematic approximation of multi-scale Feynman integrals
• Differential equations and massive two-loop Bhabha scattering: the B5l2m3 case
• Quark mass effects in two-loop Higgs amplitudes
• Heavy-quark pair production in polarized photon-photon collisions at next-to-leading order: Fully integrated total cross sections
• Transverse Momentum Distributions in B-Decays
• Non-planar elliptic vertex
• Total cross sections of $e\gamma \to eX\bar{X}$ processes with $X=\mu ,\gamma ,e$ via multiloop methods
• Three-loop helicity amplitudes for photon+jet production
• An explicit calculation of pseudo-goldstino mass at the leading three-loop level
• Two-fold Mellin-Barnes transforms of Usyukina-Davydychev functions
• Notes on conformal integrals: Coulomb branch amplitudes, magic identities and bootstrap
• Planar two-loop master integrals for massive Bhabha scattering: N_f=1 and N_f=2
• Evaluating double and triple (?) boxes
• Single-inclusive hadron production in electron-positron annihilation at next-to-next-to-next-to-leading order in QCD
• Multiple soft-photon emission at next-to-leading power to all orders
• Two-loop Vertices with Vacuum Polarization Insertion
• The non-singlet kaon fragmentation function from e^+e^- kaon production
• Some recent results on evaluating Feynman integrals
• Dickman polylogarithms and their constants
• Master integrals for $\mathcal{O}(\alpha {\alpha }_s)$ corrections to $H\to Z{Z}^{\ast }$
• Matching the heavy-quark fields in QCD and HQET at four loops
• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function
• High-precision four-loop mass and wave function renormalization in QED
• Amplitudes in fishnet theories in diverse dimensions and Box ladder diagrams
• All orders results for self-crossing Wilson loops mimicking double parton scattering
• Three-loop planar master integrals for heavy-to-light form factors
• Higgs interference effects in top-quark pair production in the 1HSM
• QCD cusp anomalous dimension: current status
• One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD
• Harmonic polylogarithms for massive Bhabha scattering
• A Novel Algorithm for Nested Summation and Hypergeometric Expansions
• New results for loop integrals: AMBRE, CSectors, hexagon
• Analytical solution to DGLAP integro-differential equation via complex maps in domains of contour integrals
• A Two-Loop Four-Point Form Factor at Function Level
• N${}^3$LL + $\mathcal{O}({\alpha }_s^2)$ predictions of lepton-jet azimuthal angular distribution in deep-inelastic scattering
• Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N
• Heptagon Functions and Seven-Gluon Amplitudes in Multi-Regge Kinematics
• Reflection identities of harmonic sums of weight four
• Four-loop large-n_f contributions to the non-singlet structure functions F_2 and F_L
• High Precision QED Initial State Corrections for $e^{+}{e}^{-}\to {\gamma }^{\ast }/Z^{\ast }$ Annihilation
• Clean Single-Valued Polylogarithms
• Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the ${\rm Y}(1S)$ meson
• Generalized Polylogarithms in Maple
• Full O(alpha_S) Evaluation for b->s+gamma Transverse Momentum Distribution
• Evaluating the last missing ingredient for the three-loop quark static potential by differential equations
• Analytic calculation of doubly heavy hadron spectral density in coordinate space
• Canonical differential equations and intersection matrices
• The analytic structure of the BFKL equation and reflection identities of harmonic sums at weight five
• A Feynman Integral and its Recurrences and Associators
• Analytic double-soft integrated subtraction terms for two massive emitters in a back-to-back kinematics
• The two-loop Higgs impact factor
• On the Scale Variation of the Total Cross Section for Higgs Production at the LHC and at the Tevatron
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• A New Method for Calculating Differential Distributions Directly in Mellin Space
• Two-loop QED Corrections to Bhabha Scattering
• Automated calculations for multi-leg processes
• Two-loop QCD Correction to Massive Spin-2 Resonance $\to q\bar{q}g$
• Jet Physics at Two-Loop Accuracy
• Antipodal self-duality of square fishnet graphs
• An Elliptic One-Loop Amplitude in Anti-de-Sitter Space
• Symbolic Summation and Higher Orders in Perturbation Theory
• Hypergeometric functions with rational arguments
• Electroweak double-box integrals for Moller scattering
• Correlation functions of determinant operators in conformal fishnet theory
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Sunrise integral with two internal masses and pseudo-threshold kinematics in terms of elliptic polylogarithms
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Transverse Parton Distribution Functions at Next-To-Next-To-Leading-Order
• Multiple polylogarithms and linearly reducible Feynman graphs
• Renormalon-chain contributions to two-point correlators of nonlocal quark currents
• Leading singularities and chambers of Correlahedron
• On x-independence of RQ = FLQ/F2Q ratio at low x
• Parton densities and structure functions at next-to-next-to-leading order and beyond
• The massless supersymmetric ladder with L rungs
• Differential equations for multi-loop integrals and two-dimensional kinematics
• Analytic continuation of harmonic sums: dispersion representation
• Two-Loop QCD-EW Master Integrals for Z Plus Jet Production at Large Transverse Momentum
• Wilson Loops with Lagrangians: Large Spin OPE and Cusp Anomalous Dimension Dictionary
• Two-Loop QED Heavy-Flavor Contribution to Bhabha Scattering
• Structural Relations between Nested Harmonic Sums
• Hermitian Separability of BFKL eigenvalue in Bethe Salpeter approach
• Algorithm to find an all-order in the running coupling solution to an equation of the DGLAP type
• The real radiation antenna functions for $S\to Q\bar{Q}gg$ at NNLO QCD
• Integrated Unitarity for Scattering Amplitudes
• Exact Results in Supersymmetric Gauge Theories
• Three-loop helicity amplitudes for four-quark scattering in massless QCD
• Analytic continuation of harmonic sums with purely imaginary indices near the integer values
• Unitarity methods for Mellin moments of Drell-Yan cross sections
• Master Integrals for double real radiation emission in heavy-to-light quark decay
• A new method for finding more symmetry relations of Feynman integrals
• Bhabha Scattering at NNLO
• Reduction of Multiple Harmonic Sums and Harmonic Polylogarithms
• Next-to-next-to-leading order QCD corrections to light Higgs pair production via vector boson fusion in type-II two-Higgs-doublet model
• HQET vertex diagram: $\epsilon$ expansion
• On-shell renormalisation constants including two different nonzero masses
• Z-Sum Approach to Loop Integrals using Taylor Expansion
• Hopf algebras and Dyson-Schwinger equations
• Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams
• NNLO QCD corrections to event shape variables in electron positron annihilation
• Two-loop mixed QCD-EW corrections to $q\overline{q}\to Hg$, $qg\to Hq$, and $\overline{q}g\to H\overline{q}$
• Higgs boson production at the LHC: fast and precise predictions in QCD at higher orders
• Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold
• Transverse Momentum Distribution in B Decays
• Non-abelian soft radiation data for a celestial theory
• Four-loop anomalous dimension of flavor non-singlet quark operator of twist two and Lorentz spin N for general gauge group: transcendental part
• Three loop QCD corrections to heavy quark form factors
• Analytic auxiliary mass flow to compute master integrals in singular kinematics
• Two-loop QCD corrections to the vector form factors for the heavy-quark photo-production
• Two-parton contribution to the heavy-quark A_FB at NNLO QCD in e+e- collisions
• Universal structure of radiative QED amplitudes at one loop
• Two-photon exchange in leptophilic dark matter scenarios
• An Operator Product Expansion for Form Factors II. Born level
• The QCD Coupling and Parton Distributions at High Precision
• Charge asymmetry in electron/positron energy loss in nuclear Bremsstrahlung
• Massive Two-Loop Heavy Particle Diagrams
• A Mellin Space Program for W^{+/-} and Z^0 Production at NNLO
• Evaluating Feynman Integrals through differential equations and series expansions
• NNLO mixed EW-QCD corrections to single vector boson production
• Towards NNLO corrections to muon-electron scattering
• Analytic results for two-loop planar master integrals for Bhabha scattering
• Twisted de Rham theory for string double copy in AdS
• Higher-order corrections to the splitting functions from differential equations in QCD
• Hyper-Mahler measures via Goncharov-Deligne cyclotomy
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• Co-homology of Differential Forms and Feynman diagrams
• Multi-parton contributions to $\bar{B}\to X_s\gamma$ at NLO
• Analytic calculation of Energy-Energy Correlation in $e^{+}{e}^{-}$ annihilation at NLO
• The canonical form has got baubles
• The Hopf Algebra Structure of the Two Loop Three Mass Non-Planar Feynman Diagram
• Universal transcendentality limit of BFKL eigenvalue
• Transverse Momentum Distribution in b-> s Gamma
• Scalar one-loop 4-point integral with one massless vertex in loop regularization
• On webs, polylogarithms and cluster algebras
• The integrand form of infrared singularities of two-loop QCD scattering amplitudes
• Conformal moments of the two-loop coefficient functions in DVCS
• Soft Integrals and Soft Anomalous Dimensions at N${}^3$LO and Beyond