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 (8)

• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• Hadronic Z- and tau-Decays in Order alpha_s^4
• Algorithm FIRE -- Feynman Integral REduction
• NNLO QCD corrections to the B -> X_s gamma matrix elements using interpolation in m_c
• NNLO corrections to event shapes in $e^{+}{e}^{-}$ annihilation
• NNLO corrections to 3-jet observables in electron-positron annihilation
• Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors
• Calculation of Massless Feynman Integrals using Harmonic Sums

Cited by in corpus (3)

• Virtual three-loop corrections to Higgs boson production in gluon fusion for finite top quark mass
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• Methods for the Reduction of Three-Loop QCD Form Factors