Quark and Gluon Form Factors to Three Loops

2009/02/20 by P. A. Baikov, P.A. Baikov, K. G. Chetyrkin +7 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevlett.102.212002

published as Phys.Rev.Lett.102:212002,2009 · 5 pages, 2 figures

arxiv created 2009/02/20 · openalex publication_date 2009/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Higgs boson production at hadron colliders in NNLO QCD
• Automatized analytic continuation of Mellin–Barnes integrals
• Calculation of massless Feynman integrals using harmonic sums
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Explicit solutions of the 3-loop vacuum integral recurrence relations

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