Fermionic corrections to quark and gluon form factors in four-loop QCD

Abstract

We analytically compute all four-loop QCD corrections to the photon-quark and Higgs-gluon form factors involving a closed massless fermion loop. Our calculation of non-planar vertex integrals confirms a previous conjecture for the analytical form of the non-fermionic contributions to the collinear anomalous dimensions of quarks and gluons.

arXiv comment7 pages, 1 figure

References in corpus (50)

• Multiloop integrals in dimensional regularization made simple
• Differential Equations for Two-Loop Four-Point Functions
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Higgs boson gluon-fusion production in N3LO QCD
• Dimensionally Regulated Pentagon Integrals
• LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
• FORM version 4.0
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• FIRE6: Feynman Integral REduction with Modular Arithmetic
• Lectures on differential equations for Feynman integrals
• Calculation of the quark and gluon form factors to three loops in QCD
• A novel approach to integration by parts reduction
• Quark and gluon form factors to three loops
• Higgs Boson Production at Hadron Colliders at N3LO in QCD
• Towards a Basis for Planar Two-Loop Integrals
• Reducing differential equations for multiloop master integrals
• Virtual corrections to gg -> H to two loops in the heavy top limit
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• Power corrections and renormalons in Drell-Yan production
• The massless higher-loop two-point function
• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Cusp and collinear anomalous dimensions in four-loop QCD from form factors
• The Drell-Yan cross section to third order in the strong coupling constant
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
• Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering
• Master Integrals for Four-Loop Massless Propagators up to Transcendentality Weight Twelve
• A quasi-finite basis for multi-loop Feynman integrals
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• Evaluating single-scale and/or non-planar diagrams by differential equations
• Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD
• Matter dependence of the four-loop cusp anomalous dimension
• The quark and gluon form factors to three loops in QCD through to O(eps^2)
• Feynman integral relations from parametric annihilators
• Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
• 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
• 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
• Soft corrections to inclusive deep-inelastic scattering at four loops and beyond
• Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles
• Approximate four-loop QCD corrections to the Higgs-boson production cross section
• Two-loop helicity amplitudes for $gg\to ZZ$ with full top-quark mass effects
• Four-loop cusp anomalous dimension in QED
• 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
• Constructing multi-loop scattering amplitudes with manifest singularity structure

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• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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