LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals

Abstract

We review the Mathematica package LiteRed, version 1.4.

8 pages, contribution to proceedings of ACAT2013 conference

References in corpus (4)

• Algorithm FIRE -- Feynman Integral REduction
• Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
• Calculating multiloop integrals using dimensional recurrence relation and D-analyticity
• An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations

Cited by in corpus (319)

• FeynCalc 9.3: New features and improvements
• FIRE5: a C++ implementation of Feynman Integral REduction
• Kira - A Feynman Integral Reduction Program
• FIRE6: Feynman Integral REduction with Modular Arithmetic
• Higgs boson pair production in gluon fusion at NLO with full top-quark mass dependence
• AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow
• Reducing differential equations for multiloop master integrals
• Two-loop Integrand Decomposition into Master Integrals and Surface Terms
• The Eikonal Approach to Gravitational Scattering and Radiation at $\mathcal{O}(G^3)$
• Reconstructing Rational Functions with $\text{FireFly}$
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Radiation Reaction and Gravitational Waves at Fourth Post-Minkowskian Order
• On-the-fly reduction of open loops
• Algorithmic transformation of multi-loop master integrals to a canonical basis with CANONICA
• Fuchsia: a tool for reducing differential equations for Feynman master integrals to epsilon form
• Collider Physics at the Precision Frontier
• Towards B -> X_s gamma at the NNLO in QCD without interpolation in m_c
• SUSY in the Sky with Gravitons
• Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
• On an Exponential Representation of the Gravitational S-Matrix
• Classical Gravity from Loop Amplitudes
• FeynCalc 10: Do multiloop integrals dream of computer codes?
• The Energy-Energy Correlation at Next-to-Leading Order in QCD, Analytically
• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Multiloop corrections for collider processes using auxiliary mass flow
• 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
• An Analytical Method for the NLO QCD Corrections to Double-Higgs Production
• Double Higgs boson production at NLO in the high-energy limit: complete analytic results
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• Solving differential equations for Feynman integrals by expansions near singular points
• Inelastic Exponentiation and Classical Gravitational Scattering at One Loop
• Determining Feynman integrals with only input from linear algebra
• Feynman integral relations from parametric annihilators
• The Three-loop Quark Jet Function
• Deriving canonical differential equations for Feynman integrals from a single uniform weight integral
• How to choose master integrals
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Six loop analytical calculation of the field anomalous dimension and the critical exponent $\eta$ in $O(n)$-symmetric ${\phi }^4$ model
• Third order corrections to the semi-leptonic \boldmath{$b\to c$} and the muon decays
• On higher-derivative effects on the gravitational potential and particle bending
• Four-loop quark form factor with quartic fundamental colour factor
• Evaluation of Feynman integrals with arbitrary complex masses via series expansions
• Extending Precision Perturbative QCD with Track Functions
• The $n_f^2$ contributions to fermionic four-loop form factors
• Four-loop collinear anomalous dimensions in QCD and $\mathcal{N}=4$ super Yang-Mills
• Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion
• Post-Minkowskian Radial Action from Soft Limits and Velocity Cuts
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Constraints on the quartic Higgs self-coupling from double-Higgs production at future hadron colliders
• Baikov representations, intersection theory, and canonical Feynman integrals
• Massive vector form factors to three loops
• The SAGEX Review on Scattering Amplitudes, Chapter 3: Mathematical structures in Feynman integrals
• The Schwarzschild-Tangherlini metric from scattering amplitudes in various dimensions
• Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
• Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers
• Wilson coefficients for Higgs boson production and decoupling relations to $\mathcal{O}\left({\alpha }_s^4\right)$
• $\text{tapir}$: A tool for topologies, amplitudes, partial fraction decomposition and input for reductions
• Two-Loop Master Integrals for the Planar QCD Massive Corrections to Di-photon and Di-jet Hadro-production
• Double-Higgs boson production in the high-energy limit: planar master integrals
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Numerical Loop-Tree Duality: contour deformation and subtraction
• Gluon-fusion Higgs production in the Standard Model Effective Field Theory
• An algorithmic approach to finding canonical differential equations for elliptic Feynman integrals
• Calculation of Feynman loop integration and phase-space integration via auxiliary mass flow
• On-Shell Methods for the Two-Loop Dilatation Operator and Finite Remainders
• Caravel: A C++ Framework for the Computation of Multi-Loop Amplitudes with Numerical Unitarity
• Tropical Feynman integration in the Minkowski regime
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Master integrals for the four-loop Sudakov form factor
• Pseudo-scalar Form Factors at Three Loops in QCD
• FIRE 6.5: Feynman Integral Reduction with New Simplification Library
• Electroweak pseudo-observables and Z-boson form factors at two-loop accuracy
• Classical vs Quantum Eikonal Scattering and its Causal Structure
• The SU(2|3) dynamic two-loop form factors
• 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
• Renormalization of parton quasi-distributions beyond the leading order: spacelike vs. timelike
• Computing one-loop corrections to effective vertices with two scales in the EFT for Multi-Regge processes in QCD
• Renormalization Group Flows for Track Function Moments
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part I: $\mathcal{N}=4$ super Yang-Mills
• Higgs amplitudes from $\mathcal{N}=4$ super Yang-Mills theory
• Higgs boson contribution to the leading two-loop Yukawa corrections to $gg\to HH$
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• The Kinetic Heavy Quark Mass to Three Loops
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• $ZH$ production in gluon fusion: two-loop amplitudes with full top quark mass dependence
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• On the relation between the $\overline{\mathrm{MS}}$ and the kinetic mass of heavy quarks
• Two-Loop Radiative Jet Function for Exclusive $B$-Meson and Higgs Decays
• Next-to-leading order electroweak corrections to $gg\to HH$ and $gg\to gH$ in the large-$m_t$ limit
• NLO Corrections to Light-Quark Mixed QCD-EW Contributions to Higgs Production
• Inclusive weak decays of heavy hadrons with power suppressed terms at NLO
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Counting the number of master integrals for sunrise-type Feynman diagrams via Mellin-Barnes representation
• A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the $\overline{\mathrm{MS}}$-pole quark mass relation
• Four-loop wave function renormalization in QCD and QED
• NNLO QCD$\oplus$QED corrections to Higgs production in bottom quark annihilation
• $B^0-{\bar{B}}^0$ Mixing at Next-to-Leading Order
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle
• Two-loop diagrams in non-relativistic QCD with elliptics
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation
• Two-loop massless QCD corrections to the $g+g\to H+H$ four-point amplitude
• Symbol Alphabets from the Landau Singular Locus
• A Numerical Routine for the Crossed Vertex Diagram with a Massive-Particle Loop
• Two-loop master integrals for a planar topology contributing to $pp\to t\bar{t}j$
• Renormalizing Love: tidal effects at the third post-Newtonian order
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Top-quark effects in diphoton production through gluon fusion at NLO in QCD
• Subleading Regge limit from a soft anomalous dimension
• Two-Loop QCD Corrections to Higgs $\to b+\bar{b}+g$ Amplitude
• Quark and gluon form factors in four loop QCD: the $N_f^2$ and $N_{q\gamma }{N}_f$ contributions
• Virtual corrections to $gg\to ZH$ in the high-energy and large-$m_t$ limits
• Numerical multi-loop integrals and applications
• Gravitational Scattering and Beyond from Extreme Mass Ratio Effective Field Theory
• ZH production in gluon fusion at NLO in QCD
• Real-virtual corrections to Higgs boson pair production at NNLO: three closed top quark loops
• Exact results for $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ with two mass scales and up to three loops
• QCD corrections to inclusive heavy hadron weak decays at ${\Lambda }_{\mathrm{QCD}}^3/m_Q^3$
• $H\to b\overline{b}j$ at Next-to-Next-to-Leading Order Accuracy
• On the NLO QCD Corrections to Gluon-Initiated ZH Production
• $\text{Tr}(F^3)$ supersymmetric form factors and maximal transcendentality Part II: $0<\mathcal{N}<4$ super Yang-Mills
• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• Subleading Logarithmic QED Initial State Corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/{Z^0}^{\ast }$ to $O({\alpha }^6{L}^5)$
• Analytic Computation of Three-point Energy Correlator in QCD
• Two-loop amplitudes for Higgs plus jet production involving a modified trilinear Higgs coupling
• Automatic computation of Feynman integrals containing linear propagators via auxiliary mass flow
• Analytic approximations of $2\to 2$ processes with massive internal particles
• Non-planar data of $\mathcal{N}=4$ SYM
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• Master integrals for the NNLO virtual corrections to $q\bar{q}\to t\bar{t}$ scattering in QCD: the non-planar graphs
• Direct reduction of multiloop multiscale scattering amplitudes
• Electroweak corrections to double Higgs production at the LHC
• Massive three-loop form factors: anomaly contribution
• Konishi Form Factor at Three Loop in $\mathcal{N}=4$ SYM
• Climbing three-Reggeon ladders: four-loop amplitudes in the high-energy limit in full colour
• Top-Yukawa contributions to bbH production at the LHC
• Three-loop soft function for heavy-to-light quark decays
• The flat phase of polymerized membranes at two-loop order
• Evaluating multi-loop Feynman integrals numerically through differential equations
• Balancing act: multivariate rational reconstruction for IBP
• QCD sum rules for parameters of the $B$-meson distribution amplitudes
• One-loop QCD helicity amplitudes for $pp\to t\bar{t}j$ to $O({\epsilon }^2)$
• Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel
• Next-to-Next-to-Leading Order QCD Corrections to Polarized Semi-Inclusive Deep-Inelastic Scattering
• The spin-dependent quark beam function at NNLO
• Real corrections to Higgs boson pair production at NNLO in the large top quark mass limit
• A minimal approach to the scattering of physical massless bosons
• Two-Loop Five-Point Two-Mass Planar Integrals and Double Lagrangian Insertions in a Wilson Loop
• Gravitoelectric dynamical tides at second post-Newtonian order
• A first look at the function space for planar two-loop six-particle Feynman integrals
• AdS super gluon scattering up to two loops: A position space approach
• Radiative Quark Jet Function with an External Gluon
• Classifying post-Minkowskian geometries for gravitational waves via loop-by-loop Baikov
• Two-Loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes
• Three-loop massive form factors: complete light-fermion corrections for the vector current
• Two-loop splitting in double parton distributions
• Massive kite diagrams with elliptics
• NLO Effects for Doubly Heavy Baryon in QCD Sum Rules
• NNLO QCD corrections to unpolarized and polarized SIDIS
• On phase-space integrals with Heaviside functions
• Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD
• Simplified leptoquark models for precision $l_i\to l_f\gamma$ experiments: two-loop structure of $O({\alpha }_S{Y}^2)$ corrections
• Renormalization of the flavor-singlet axial-vector current and its anomaly in dimensional regularization
• One-loop pentagon integral in $d$ dimensions from differential equations in $\epsilon$-form
• The diamond rule for multi-loop Feynman diagrams
• The EFT Bootstrap at Finite $M_{PL}$
• One-loop hexagon integral to higher orders in the dimensional regulator
• Two-Loop QCD Corrections to the Higgs plus three-parton amplitudes with Top Mass Correction
• $\epsilon$-regular basis for non-polylogarithmic multiloop integrals and total cross section of the process $e^{+}{e}^{-}\to 2(Q\bar{Q})$
• Higgs pair production from bottom quark annihilation to NNLO in QCD
• The full angle-dependence of the four-loop cusp anomalous dimension in QED
• The width difference in the $B-\bar{B}$ system at next-to-next-to-leading order of QCD
• Quantum corrections to frame-dragging in scattering amplitudes
• Matching coefficients in NRQCD to two-loop accuracy
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• The Compton Scattering Total Cross Section at Next-to-Leading Order
• The Four-Loop $\mathcal{N}=4$ SYM Sudakov Form Factor
• Heavy-quark pair production at lepton colliders at NNNLO in QCD
• Two-loop QCD penguin contribution to the width difference in $B_s-{\bar{B}}_s$ mixing
• The Reissner-Nordström-Tangherlini solution from scattering amplitudes of charged scalars
• Three-loop order approach to flat polymerized membranes
• NNLO QCD Corrections to the Drell-Yan Cross Section in Models of TeV-Scale Gravity
• Analytical calculation for the gluon fragmentation into spin-triplet S-wave quarkonium
• The H-graph with equal masses in terms of multiple polylogarithms
• One-loop Feynman Integral Reduction by Differential Operators
• Top Quark Mass Effects in Next-To-Next-To-Next-To-Leading Order Higgs Boson Production: Virtual Corrections
• HepLib: A C++ Library for High Energy Physics
• PV-Reduction of Sunset Topology with Auxiliary Vector
• Cutting massless four-loop propagators
• Master integrals for splitting functions from differential equations in QCD
• Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops
• Two-loop master integrals for the mixed QCD-electroweak corrections for $H\to b\bar{b}$ through a $Ht\bar{t}$-coupling
• Two-loop running effects in Higgs physics in Standard Model Effective Field Theory
• Computational challenges for multi-loop collider phenomenology
• Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion
• Gravitational radiation from inspiralling compact binaries to N${}^3$LO in the Effective Field Theory approach
• Mixed QCD-EW corrections for Higgs leptonic decay via $H{W}^{+}{W}^{-}$ vertex
• Resummation methods for Master Integrals
• On three-point functions in ABJM and the latitude Wilson loop
• Complete Form Factors in Yang-Mills from Unitarity and Spinor Helicity in Six Dimensions
• Three loop form factors of a massive spin-2 particle with nonuniversal coupling
• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms
• Total Born cross section of $e^{+}{e}^{-}$-pair production in relativistic ion collisions from differential equations
• On structure constants with two spinning twist-two operators
• Feynman Integrals from Positivity Constraints
• Calculating four-loop massless propagators with Forcer
• Two-loop splitting in double parton distributions: the colour non-singlet case
• $D$-Module Techniques for Solving Differential Equations in the Context of Feynman Integrals
• The interplay between SM precision, BSM physics and measurements of ${\alpha }_{\mathrm{had}}$ in $\mu$-$e$ scattering
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order
• Analytic decay width of the Higgs boson to massive bottom quarks at order ${\alpha }_s^3$
• Intersection Numbers from Companion Tensor Algebra
• Bootstrapping spinning two body problem in dynamical Chern-Simons gravity using worldline QFT
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Third order correction to semileptonic $b\to u$ decay: fermionic contributions
• Color-Kinematics Duality for Sudakov Form Factor in Non-Supersymmetric Pure Yang-Mills Theory
• Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
• A $QQ\to QQ$ planar doublebox in canonical form
• Recursion-free solution for two-loop vacuum integrals with "collinear" masses
• Quark mass effects in two-loop Higgs amplitudes
• Twisted Riemann bilinear relations and Feynman integrals
• Total cross sections of $e\gamma \to eX\bar{X}$ processes with $X=\mu ,\gamma ,e$ via multiloop methods
• Non-factorizable virtual corrections to Higgs boson production in weak boson fusion beyond the eikonal approximation
• Universal Treatment of Reduction for One-Loop Integrals in Projective Space
• Classification of Feynman integral geometries for black-hole scattering at 5PM order
• Fragmentation function of $g\to Q\bar{Q}{(}^3{S}_1^{[8]})$ in soft gluon factorization and threshold resummation
• Two-loop Vertices with Vacuum Polarization Insertion
• Master integrals for $\mathcal{O}(\alpha {\alpha }_s)$ corrections to $H\to Z{Z}^{\ast }$
• The recursive structure of Baikov representations II: the top-down reduction with intersection theory
• Feynman integral reduction using Gröbner bases
• Master integrals for bipartite cuts of three-loop photon self energy
• An Extremal Chiral Primary Three-Point Function at Two-loops in ABJ(M)
• Four-loop QCD cusp anomalous dimension at small angle
• Five-Particle Phase-Space Integrals in QCD
• Two-loop triangle integrals with 4 scales for the $HZV$ vertex
• Fuchsia and Master Integrals for Energy-Energy Correlations at NLO in QCD
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Machine Learning Post-Minkowskian Integrals
• Renormalized $\epsilon$-finite master integrals and their virtues: the three-loop self energy case
• Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD
• Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order
• Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC
• Spin-2 Form Factors at Three Loop in QCD
• All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering
• Reduction of one-loop integrals with higher poles by unitarity cut method
• Second order splitting functions and infrared safe cross sections in $\mathcal{N}=4$ SYM theory
• A note on three-point functions of unprotected operators
• Conservative Dynamics of Relativistic Binaries Beyond Einstein Gravity
• HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
• Angular integrals with three denominators via IBP, mass reduction, dimensional shift, and differential equations
• Three-loop soft function for energetic electroweak boson production at hadron colliders
• Specific three-loop contributions to $b\to s\gamma$ associated with the current-current operators
• Three twist-two, two spins, two loops
• Flat phase of quenched disordered membranes at three-loop order
• Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons
• Master integrals for mixed QCD-QED corrections to charged-current Drell-Yan production of a massive charged lepton
• $gg\to ZH$ : updated predictions at NLO QCD
• Scaling up to Multivariate Rational Function Reconstruction
• Two-loop QCD Correction to Massive Spin-2 Resonance $\to q\bar{q}g$
• Correlators of heavy-light quark currents in HQET: OPE at three loops
• Computer algebra calculations in supersymmetric electrodynamics
• Reduction of Feynman Integrals in the Parametric Representation
• Evaluation of three-loop self-energy master integrals with four or five propagators
• Rational Function Simplification for Integration-by-Parts Reduction and Beyond
• Two-loop corrections to Lamb shift and hyperfine splitting in hydrogen via multi-loop methods
• Auxiliary fields approach to shift-symmetric theories: the ${\phi }^4$ derivative theory and the crumpled-to-flat transition of membranes at two-loop order
• Phi4tools: Compilation of Feynman diagrams for Landau-Ginzburg-Wilson theories
• Two-loop mixed QCD-electroweak amplitudes for $Z+$jet production at the LHC: bosonic corrections
• Three-Loop OPE Wilson Coefficients of Dimension-Four Operators for (Axial-)Vector and (Pseudo-)Scalar Current Correlators
• Three-loop jet function for boosted heavy quarks
• Fermionic corrections to quark and gluon form factors in four-loop QCD
• One-loop pentagon integral with one offshell leg in $d$ dimensions from differential equations in $\epsilon$-form
• Two-Loop QCD-EW Master Integrals for Z Plus Jet Production at Large Transverse Momentum
• A new method for finding more symmetry relations of Feynman integrals
• Critical properties of three-dimensional many-flavour QEDs
• Master Integrals for double real radiation emission in heavy-to-light quark decay
• Higgs boson decay into photons at four loops
• Multi-loop calculations: numerical methods and applications
• Integrated Unitarity for Scattering Amplitudes
• Unitarity methods for Mellin moments of Drell-Yan cross sections
• Extended Projection Method for Massive Fermion
• Two-loop form factors for $P$-wave quarkonium production and decay
• Evaluating Feynman Integrals through differential equations and series expansions
• Effective vertex of quark production in collision of Reggeized quark and gluon
• Charge asymmetry in the spectra of bremsstrahlung and pair production
• $\text{history}$: A tool for fully-differential cross sections at next-to-next-to-leading order
• Singlet and non-singlet three-loop massive form factors
• Dihadron Angular Correlations in the $e^{+}{e}^{-}$ Collision
• Charge asymmetry in electron/positron energy loss in nuclear Bremsstrahlung
• Evaluating master integrals in non-factorizable corrections to $t$-channel single-top production at NNLO QCD
• Top-Quark Decay at Next-to-Next-to-Next-to-Leading Order in QCD
• Hadronic vacuum polarization to three loops in chiral perturbation theory
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation
• Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold
• Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT
• Gravitational Deflection of Vector Photons via Effective Field Theory
• Mixed QCD-EW corrections to $W$-pair production at electron-positron colliders
• One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}({\epsilon }^2)$
• Reconstructing Laurent expansion of rational functions using p-adic numbers
• Two loops, four tops and two ${\gamma }_5$ schemes: a renormalization story
• Transition Form-Factor for ${\eta }_Q$ at NNLO in the strong coupling ${\alpha }_s$ and with all-order $v^2$ resummation
• Anomalous Ward identities for on-shell amplitudes at the conformal fixed point
• Two-loop master integrals for pseudo-scalar quarkonium and leptonium production and decay
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• General One-loop Reduction in Generalized Feynman Parametrization Form
• Integral representation for three-loop banana graph
• Reduction of planar double-box diagram for single-top production via auxiliary mass flow
• Virtual corrections to $gg\to ZH$ via a transverse momentum expansion