Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation

Abstract

We study the amplitude of the Higgs boson production in gluon fusion mediated by a light quark loop and evaluate the logarithmically enhanced radiative corrections to the next-to-leading logarithmic approximation which sums up the terms of the form ${\alpha }_s^n{\ln }^{2n-1}(m_H/m_q)$ to all orders in the strong coupling constant. This result is used for the calculation of the process cross section near the production threshold and gives a quantitative estimate of the three and four-loop bottom quark contribution to the Higgs boson production at the Large Hadron Collider.

25 pages, 6 figures, abelian contribution corrected

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• Two-loop amplitudes for $qg\to Hq$ and $q\bar{q}\to Hg$ mediated by a nearly massless quark
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• Three-loop quark form factor at high energy: the leading mass corrections
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• Factorization at Subleading Power and Endpoint Divergences in $h\to \gamma \gamma$ Decay: II. Renormalization and Scale Evolution
• Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\to h$ Production
• Higgs Boson Production and Quark Scattering Amplitudes at High Energy through the Next-to-Next-to-Leading Power in Quark Mass
• Exact quark-mass dependence of the Higgs-photon form factor at three loops in QCD
• NNLO study of top-quark mass renormalization scheme uncertainties in Higgs boson production
• Top-Bottom Interference Contribution to Fully-Inclusive Higgs Production
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Region analysis of $H\to \gamma \gamma$ via a bottom quark loop
• Analytic Result of Higgs Boson Decay to Gluons with Full Quark Mass Dependence
• Two-loop amplitude for mixed QCD-EW corrections to $gg\to Hg$
• Pseudoscalar MSSM Higgs Production at NLO SUSY--QCD
• Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold