Quark and gluon form factors to three loops

Abstract

We compute the form factors of the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons to three-loop order within massless perturbative Quantum Chromodynamics. These results provide building blocks for many third-order cross sections. Furthermore, this is the first calculation of complete three-loop vertex corrections.

5 pages, 2 figures

References in corpus (32)

• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Higgs boson production at hadron colliders in NNLO QCD
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Algorithm FIRE -- Feynman Integral REduction
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• Automatized analytic continuation of Mellin-Barnes integrals
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Group theory factors for Feynman diagrams
• Analytical Result for Dimensionally Regularized Massless On-shell Double Box
• Non-planar massless two-loop Feynman diagrams with four on-shell legs
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
• Three-Loop Results for Quark and Gluon Form Factors
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Virtual corrections to gg -> H to two loops in the heavy top limit
• The Quark Form Factor at Higher Orders
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• Explicit solutions of the 3--loop vacuum integral recurrence relations
• Two-loop corrections to Higgs boson production
• A practical criterion of irreducibility of multi--loop Feynman integrals
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
• Applying Groebner Bases to Solve Reduction Problems for Feynman Integrals
• Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions
• Equivalence of Recurrence Relations for Feynman Integrals with the Same Total Number of External and Loop Momenta
• Calculation of Massless Feynman Integrals using Harmonic Sums
• ParFORM: recent development

Cited by in corpus (188)

• Higgs boson gluon-fusion production in N3LO QCD
• On the Structure of Infrared Singularities of Gauge-Theory Amplitudes
• FIRE5: a C++ implementation of Feynman Integral REduction
• Thrust at N^3LL with Power Corrections and a Precision Global Fit for alphas(mZ)
• Calculation of the quark and gluon form factors to three loops in QCD
• Large-Momentum Effective Theory
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Bootstrapping rapidity anomalous dimension for transverse-momentum resummation
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• SusHi Bento: Beyond NNLO and the heavy-top limit
• Soft triple-real radiation for Higgs production at N3LO
• Universality of transverse-momentum resummation and hard factors at the NNLO
• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region
• The Drell-Yan cross section to third order in the strong coupling constant
• Two-loop virtual corrections to Higgs pair production
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• SecDec: A general program for sector decomposition
• Factorization and NNLL Resummation for Higgs Production with a Jet Veto
• Color-kinematic Duality for Form Factors
• FIESTA 2: parallelizeable multiloop numerical calculations
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Momentum-space resummation for transverse observables and the Higgs $p_{\perp }$ at N${}^3$LL+NNLO
• Factorization and N^3LL_p+NNLO Predictions for the Higgs Cross Section with a Jet Veto
• Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• Threshold resummation at N${}^3$LL accuracy and soft-virtual cross sections at N${}^3$LO
• Drell-Yan Production at Threshold to Third Order in QCD
• The two-loop soft current in dimensional regularization
• Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass
• C-parameter Distribution at N${}^3$LL${}^{\prime }$ including Power Corrections
• Evaluating single-scale and/or non-planar diagrams by differential equations
• Analytic Results for Massless Three-Loop Form Factors
• 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
• Soft-virtual corrections to Higgs production at N${}^3$LO
• Resummed Higgs cross section at N${}^3$LL
• Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
• A Precise Determination of ${\alpha }_s$ from the C-parameter Distribution
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• NNLL Resummation for Jet Broadening
• Charged Current Drell-Yan Production at N3LO
• The three-loop form factor in N=4 super Yang-Mills
• QCD evolution of (un)polarized gluon TMDPDFs and the Higgs $q_T$-distribution
• Precision Predictions at N${}^3$LO for the Higgs Boson Rapidity Distribution at the LHC
• Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum
• Two-loop QCD helicity amplitudes for $q\bar{q}\to W^{\pm }\gamma$ and $q\bar{q}\to Z^0\gamma$
• On Higgs-exchange DIS, physical evolution kernels and fourth-order splitting functions at large x
• Higgs production in bottom-quark fusion to third order in the strong coupling
• Real-Virtual contributions to the inclusive Higgs cross-section at N3LO
• Non-perturbative QCD effects in $q_T$ spectra of Drell-Yan and $Z$-boson production
• Lepton-pair production at hadron colliders at N${}^3$LO in QCD
• The singular behavior of one-loop massive QCD amplitudes with one external soft gluon
• Higgs $p_T$ Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD
• The quark and gluon form factors to three loops in QCD through to O(eps^2)
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Factorization and Resummation for Jet Broadening
• Transverse-Momentum-Dependent Parton Distribution Functions from Large-Momentum Effective Theory
• Di-lepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD
• Transverse momentum dependent distributions in $e^{+}{e}^{-}$ and semi-inclusive deep-inelastic scattering using jets
• Fiducial Drell-Yan production at the LHC improved by transverse-momentum resummation at N${}^4$LL+N${}^3$LO
• Rapidity Distributions in Drell-Yan and Higgs Productions at Threshold to Third Order in QCD
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• The gluon-fusion production of Higgs boson pair: N${}^3$LO QCD corrections and top-quark mass effects
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• Four-Loop Nonplanar Cusp Anomalous Dimension in N=4 Supersymmetric Yang-Mills Theory
• Two-Loop Master Integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering
• Connecting Different TMD Factorization Formalisms in QCD
• NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization
• Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation
• Four-loop quark form factor with quartic fundamental colour factor
• The $n_f^2$ contributions to fermionic four-loop form factors
• On the Computation of Form Factors in Massless QCD with Finite Master Integrals
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Probing Transverse-Momentum Distributions With Groomed Jets
• Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
• Massive vector form factors to three loops
• A next-to-next-to-leading order calculation of soft-virtual cross sections
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• The $Hb\bar{b}$ form factor to three loops in QCD
• Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO
• Di-photon amplitudes in three-loop Quantum Chromodynamics
• A Toolbox for $q_T$ and $0$-Jettiness Subtractions at N${}^3$LO
• Quark and gluon form factors in four-loop QCD
• Updated Higgs cross section at approximate N${}^3$LO
• One-Loop Single-Real-Emission Contributions to $pp\to H+X$ at Next-to-Next-to-Next-to-Leading Order
• On NMHV form factors in N=4 SYM theory from generalized unitarity
• Fiducial Higgs and Drell-Yan distributions at N${}^3$LL${}^{\prime }$+NNLO with RadISH
• Gluon-fusion Higgs production in the Standard Model Effective Field Theory
• Non-perturbative contributions to vector-boson transverse momentum spectra in hadronic collisions
• The Energy-Energy Correlation in the back-to-back limit at N${}^3$LO and N${}^3$LL${}^{\prime }$
• Factorization connecting continuum and lattice TMDs
• Form factors and scattering amplitudes in N=4 SYM in dimensional and massive regularizations
• Master integrals for the four-loop Sudakov form factor
• Pseudo-scalar Form Factors at Three Loops in QCD
• Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering
• Two-loop leading-color helicity amplitudes for three-photon production at the LHC
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• The $q_T$ and $\Delta \varphi$ spectra in W and Z production at the LHC at N${}^3$LL'+N${}^2$LO
• Transverse Mass Distribution and Charge Asymmetry in W Boson Production to Third Order in QCD
• Towards a new approximation for pair-production and associated-production of the Higgs boson
• Four Loop Massless Propagators: a Numerical Evaluation of All Master Integrals
• Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO
• Transverse-Energy-Energy Correlations in Deep Inelastic Scattering
• On next to soft corrections to Drell-Yan and Higgs Boson productions
• Effective field theory approach to heavy quark fragmentation
• MT: a Mathematica package to compute convolutions
• A semi-analytic method to compute Feynman integrals applied to four-loop corrections to the $\overline{\mathrm{MS}}$-pole quark mass relation
• Employing Helicity Amplitudes for Resummation
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• $Z\gamma$ production at NNLO including anomalous couplings
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• Resummation Improved Rapidity Spectrum for Gluon Fusion Higgs Production
• Two-loop massless QCD corrections to the $g+g\to H+H$ four-point amplitude
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Threshold resummation for computing large-$x$ parton distribution through large-momentum effective theory
• Higher-order threshold resummation for semi-inclusive e^+e^- annihilation
• Boosted Top Quarks in the Peak Region with N${}^3$LL Resummation
• On next to soft threshold corrections to DIS and SIA processes
• Polarised Amplitudes and Soft-Virtual Cross Sections for $b\bar{b}\to ZH$ at NNLO in QCD
• CP-even scalar boson production via gluon fusion at the LHC
• High energy behaviour of form factors
• The (Q_7,Q_{1,2}) contribution to B -> X_s gamma at O(alpha_s^2)
• Massive three-loop form factors: anomaly contribution
• Third order QCD predictions for fiducial W-boson production
• Three-loop quark form factor at high energy: the leading mass corrections
• Dimensional recurrence relations: an easy way to evaluate higher orders of expansion in $\epsilon$
• NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$
• Efficient Evaluation of Massive Mellin--Barnes Integrals
• N-jettiness Subtractions for NNLO QCD Calculations
• Two- and Three-Loop Data for Groomed Jet Mass
• Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators
• Threshold resummation at N${}^3$LL accuracy and approximate N${}^3$LO corrections to semi-inclusive DIS
• Drell-Yan Transverse-Momentum Spectra at N${}^3$LL${}^{\prime }$ and Approximate N${}^4$LL with SCETlib
• 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
• Anomalous couplings in $Z\gamma$ events at NNLO+PS and improving $\nu \bar{\nu }\gamma$ backgrounds in dark-matter searches
• Quasi Transverse Momentum Dependent Distributions at Next-to-Next-to-Leading order
• Computation of $H\to gg$ in FDH and DRED: renormalization, operator mixing, and explicit two-loop results
• The parton-level structure of $e^{+}{e}^{-}$ to 2 jets at N${}^3$LO
• On the calculation of soft phase space integral
• A planar four-loop form factor and cusp anomalous dimension in QCD
• Riemann $\zeta (3)$- terms in perturbative QED series, conformal symmetry and the analogies with structures of multiloop effects in N=4 supersymmetric Yang-Mills theory
• Form Factor and Boundary Contribution of Amplitude
• Towards massless and massive event shapes in the large-${\beta }_0$ limit
• The three-loop singlet contribution to the massless axial-vector quark form factor
• Top Quark Mass Effects in Next-To-Next-To-Next-To-Leading Order Higgs Boson Production: Virtual Corrections
• Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops
• EFT for Soft Drop Double Differential Cross Section
• Going beyond Soft plus Virtual
• Three loop form factors of a massive spin-2 particle with nonuniversal coupling
• Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion
• Exact N${}^3$LO results for $q{q}^{\prime }\to H+X$
• Threshold enhanced cross sections for colorless productions
• $W$-boson production in polarized proton-proton collisions at RHIC through next-to-next-to-leading order in perturbative QCD
• The transverse-momentum spectrum of Higgs bosons near threshold at NNLO
• Single-inclusive hadron production in electron-positron annihilation at next-to-next-to-next-to-leading order in QCD
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• Spin-2 Form Factors at Three Loop in QCD
• Global Fit of alpha_s(m_Z) to Thrust at NNNLL Order with Power Corrections
• Methods for the Reduction of Three-Loop QCD Form Factors
• Jet production at electron-positron colliders at next-to-next-to-next-to-leading order in QCD
• Precision $e^{+}{e}^{-}$ Hemisphere Masses in the Dijet Region with Power Corrections
• Fermionic corrections to quark and gluon form factors in four-loop QCD
• Accuracy and Precision in Collider Event Shapes
• Three-loop jet function for boosted heavy quarks
• Master integrals for massless three-loop form factors
• Higgs boson decay into photons at four loops
• One-loop triple collinear splitting amplitudes in QCD
• Solving recurrence relations for multiloop integrals in the limit of large values of the dimensional regularization parameter
• Effective Field Theories for the LHC
• Threshold resummation for $Z$-boson pair production at NNLO+NNLL
• Singlet and non-singlet three-loop massive form factors
• Soft Integrals and Soft Anomalous Dimensions at N${}^3$LO and Beyond
• The Sudakov form factor to three loops in N=4 super Yang-Mills
• The QCD form factor of massive quarks and applications
• Higgs boson production in the SM and MSSM to NNLO and beyond
• Threshold resummation for $W$-boson pair production at NNLO+NNLL
• On the Four-Loop Higgs--Gluon Form Factor in Nonlocal Quantum Field Theory
• Infrared structure of $SU(N)\times U(1)$ gauge theory to three loops
• One-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Three-loop vertex corrections
• Studying transverse momentum distributions with jets at N${}^3$LL