Quark and gluon form factors in four-loop QCD

Abstract

We compute the photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative Quantum Chromodynamics. Our results constitute ready-to-use building blocks for N${}^4$LO cross sections for Drell-Yan processes and gluon-fusion Higgs boson production at the LHC. We present complete analytic expressions for both form factors and show several of the most complicated master integrals.

7 pages, 1 figure, ancillary file with analytical results

References in corpus (30)

• Higgs boson gluon-fusion production in N3LO QCD
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Quark and gluon form factors to three loops
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Reducing differential equations for multiloop master integrals
• The massless higher-loop two-point function
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• A first next-to-next-to-leading order study of three-jet production at the LHC
• Triphoton production at hadron colliders in NNLO QCD
• NNLO QCD corrections to three-photon production at the LHC
• Libra: a package for transformation of differential systems for multiloop integrals
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• Matter dependence of the four-loop cusp anomalous dimension
• Lepton-pair production at hadron colliders at N${}^3$LO in QCD
• Two-loop QCD corrections to $Wb\bar{b}$ production at hadron colliders
• Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD
• Two-loop helicity amplitudes for diphoton plus jet production in full color
• Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• The $n_f^2$ contributions to fermionic four-loop form factors
• Four-loop quark form factor with quartic fundamental colour factor
• Four-loop collinear anomalous dimensions in QCD and $\mathcal{N}=4$ super Yang-Mills
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
• Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Quark and gluon form factors in four loop QCD: the $N_f^2$ and $N_{q\gamma }{N}_f$ contributions
• Planar master integrals for four-loop form factors
• The Four-Loop $\mathcal{N}=4$ SYM Sudakov Form Factor
• Fermionic corrections to quark and gluon form factors in four-loop QCD

Cited by in corpus (16)

• Emergence of Calabi-Yau manifolds in high-precision black hole scattering
• The Four Loop QCD Rapidity Anomalous Dimension
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Loop-by-loop Differential Equations for Dual (Elliptic) Feynman Integrals
• Three-loop helicity amplitudes for quark-gluon scattering in QCD
• Massive three-loop form factors: anomaly contribution
• Next-to-Next-to-Leading Order QCD Corrections to Polarized Semi-Inclusive Deep-Inelastic Scattering
• Same-hemisphere three-gluon-emission contribution to the zero-jettiness soft function at N3LO QCD
• Threshold resummation at N${}^3$LL accuracy and approximate N${}^3$LO corrections to semi-inclusive DIS
• Soft Theorem to Three Loops in QCD and $\mathcal{N}=4$ Super Yang-Mills Theory
• GTMDs and the factorization of exclusive double Drell-Yan
• Precision three-dimensional imaging of nuclei using recoil-free jets
• Thrust distribution in Higgs decays up to the fifth logarithmic order
• Singlet and non-singlet three-loop massive form factors
• Soft Integrals and Soft Anomalous Dimensions at N${}^3$LO and Beyond
• On the Four-Loop Higgs--Gluon Form Factor in Nonlocal Quantum Field Theory