TL;DR
This paper presents compact analytic formulas for NLO QCD corrections to Higgs plus two jet production, simplifying calculations by effective vertices and unitarity methods, valid for large top mass and moderate jet transverse momenta.
Contribution
It introduces new analytic expressions for Higgs plus two jet amplitudes at NLO, utilizing unitarity and bootstrap techniques in the large top mass limit.
Findings
Derived compact analytic formulas for NLO corrections.
Validated formulas within the large top mass and low jet transverse momentum limit.
Enhanced computational efficiency for Higgs plus two jet processes.
Abstract
This report describes the recent efforts to compute analytic formulae for the Next-to-Leading-Order (NLO) QCD corrections to Higgs plus two jet production at hadron colliders. In these calculations the Higgs boson couples to gluons via a top-quark loop which is integrated out to form an effective vertex. The amplitudes are further simplified by splitting the real Higgs scalar into the sum of two complex scalars phi and phi^dagger. Four-dimensional unitarity is used to construct the cut-containing pieces of the amplitude, while a variety of bootstrap and Feynman diagram techniques are used to construct the rational pieces. The results described here are valid in the limit of a large top quark mass and when the transverse momenta of the jets are less than mt.
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