The light-fermion contribution to the exact Higgs-gluon form factor in QCD

Abstract

An analytical expression for the three-loop form factors for $ggH$ and $\gamma \gamma H$ is derived for the contributions which involve massless quark loops. The result is expressed in terms of harmonic polylogarithms. It fully agrees with previously obtained kinematical expansions, and confirms a recent semi-numerical approximation which extends over the full kinematic range.

arXiv commentmatches published version, including (forthcoming) erratum

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• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• NLO Corrections to Light-Quark Mixed QCD-EW Contributions to Higgs Production
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• Probing Higgs couplings to light quarks via Higgs pair production
• Top quark mass effects in $gg\to ZZ$ at two loops and off-shell Higgs interference
• Top Quark Mass Effects in Next-To-Next-To-Next-To-Leading Order Higgs Boson Production: Virtual Corrections
• Exact quark-mass dependence of the Higgs-photon form factor at three loops in QCD
• Quark mass effects in two-loop Higgs amplitudes
• The Higgs-gluon form factor at three loops in QCD with three mass scales
• Top-Bottom Interference Contribution to Fully-Inclusive Higgs Production
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• The analytic leading color contribution to the Higgs-gluon form factor in QCD at NNLO
• Two-loop amplitude for mixed QCD-EW corrections to $gg\to Hg$