Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark

Abstract

We analytically compute the two-loop scattering amplitude $gg\to Hg$ 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.

arXiv comment29 pages, 4 figures, analytical results attached as ancillary files, v2 minor typos corrected, published on JHEP

References in corpus (17)

• HIGGS BOSON PRODUCTION AT THE LHC
• Asymptotic expansion of Feynman integrals near threshold
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Algorithm FIRE -- Feynman Integral REduction
• FIRE5: a C++ implementation of Feynman Integral REduction
• Reduze - Feynman Integral Reduction in C++
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The planar topologies
• FIESTA 4: optimized Feynman integral calculations with GPU support
• Heavy-quark mass effects in Higgs boson production at the LHC
• Two-Loop Master Integrals for ${\gamma }^{\ast }\to 3$ Jets: The non-planar topologies
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Analytic Continuation of Massless Two-Loop Four-Point Functions
• Top- and bottom-mass effects in hadronic Higgs production at small transverse momenta through LO+NLL
• Quark masses in Higgs production with a jet veto
• The Higgs transverse momentum spectrum with finite quark masses beyond leading order
• Resummation ambiguities in the Higgs transverse-momentum spectrum in the Standard Model and beyond
• On the computation of finite bottom-quark mass effects in Higgs boson production

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