Two-loop amplitudes for $qg\to Hq$ and $q\bar{q}\to Hg$ mediated by a nearly massless quark

Abstract

We compute the two-loop QCD corrections to $qg\to Hq$ and $q\bar{q}\to Hg$ amplitudes mediated by loops of nearly massless quarks. These amplitudes provide the last missing ingredient required to compute the NLO QCD corrections to the top-bottom interference contribution to the Higgs boson transverse momentum distribution at hadron colliders.

arXiv comment15 pages, 1 figure, analytical results attached as ancillary files

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• Di-photon amplitudes in three-loop Quantum Chromodynamics
• Double-Higgs boson production in the high-energy limit: planar master integrals
• Fiducial Higgs and Drell-Yan distributions at N${}^3$LL${}^{\prime }$+NNLO with RadISH
• Differential equations for loop integrals in Baikov representation
• Bottom-quark effects in Higgs production at intermediate transverse momentum
• Light Quark Mediated Higgs Boson Threshold Production in the Next-to-Leading Logarithmic Approximation
• Two-loop amplitudes for processes $gg\to Hg,qg\to Hq$ and $q\bar{q}\to Hg$ at large Higgs transverse momentum
• Two-loop amplitudes for Higgs plus jet production involving a modified trilinear Higgs coupling
• Direct reduction of multiloop multiscale scattering amplitudes
• Mass Dependence of Higgs Production at Large Transverse Momentum through a Bottom Quark Loop
• Top-quark mass effects in H+jet and H+2 jets production
• Extended Projection Method for Massive Fermion
• Two-loop mixed QCD-EW corrections to $q\overline{q}\to Hg$, $qg\to Hq$, and $\overline{q}g\to H\overline{q}$
• Higher-Order Corrections to Higgs Boson Amplitudes with Full Quark Mass Dependence in Quantum Chromodynamics
• Top quark mass effects in HJ production at NLO