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Abstract
We compute the two-loop QCD corrections to amplitudes for processes gg → Hg, qg → Hq and qoverline{q}to Hg in the limit when the Higgs transverse momentum is larger than the top quark mass, p⊥ ≫ mt. These amplitudes are important ingredients for understanding higher-order QCD effects on Higgs transverse momentum distribution at large p⊥.
Highlights
The scattering amplitudesProduction of the Higgs boson in association with a jet at a hadron collider can occur in several different ways; the relevant partonic processes can be found by crossing the Higgs decay processes
This criterion is satisfied for the majority of events selected for both inclusive and H + j cross sections, there are good reasons to look at regions of phase-space where this condition is explicitly violated
The master integrals with seven propagators correspond to Feynman diagrams shown in figures 2; all other MIs that contain six or even less propagators can be obtained from the highest-level ones by pinching
Summary
Production of the Higgs boson in association with a jet at a hadron collider can occur in several different ways; the relevant partonic processes can be found by crossing the Higgs decay processes. The goal of this paper is to compute two-loop contributions to scattering amplitudes for processes in eq (2.1) assuming that the Higgs boson mass and the top quark mass are smaller than all other kinematic invariants. Examples of two-loop Feynman diagrams that contribute to the process qq → Hg. The form factors Fjq,g are scalar functions of the Mandelstam variables and the quark mass. Even after the UV renormalization is performed, the form factors still exhibit poles in These are the infra-red and collinear poles that appear in the virtual amplitude; they disappear once elastic and inelastic partonic processes are combined to compute physical cross sections. Topology NPL k2 − m2t (k + p1)2 − m2t (k − p2 − p3)2 − m2t l2 − m2t (l + p1)2 − m2t (l − p3)2 − m2t (k − l)
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