Two-loop gg → Hg amplitude mediated by a nearly massless quark

2016/10/31 by Kirill Melnikov, Lorenzo Tancredi, Christopher Wever
Physics and Astronomy · #Amplitude #Boson #Computation #Gluon #Higgs boson #High-Energy Particle Collisions Research #Massless particle #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quark #Scattering #Scattering amplitude #hep-ph

paper · pdf · doi:10.1007/jhep11(2016)104

29 pages, 4 figures, analytical results attached as ancillary files, v2 minor typos corrected, published on JHEP

openalex created_date 2016/10/21 · openalex publication_date 2016/11/01 · arxiv created 2016/11/30 · arxiv updated 2016/12/02 · openalex updated_date 2026/08/05

Abstract

We analytically compute the two-loop scattering amplitude gg → Hg assuming that the mass of the quark, that mediates the ggH interaction, is vanishingly small. Our computation provides an important ingredient required to improve the theoretical description of the top-bottom interference effect in Higgs boson production in gluon fusion, and to elucidate its impact on the Higgs boson transverse momentum distribution.

Citations

• Integration by parts: The algorithm to calculate β-functions in 4 loops
• Quark masses in Higgs production with a jet veto
• Algorithm FIRE—Feynman Integral REduction
• Asymptotic expansion of Feynman integrals near threshold
• Two-loop QCD corrections to the helicity amplitudes for H → 3 partons