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The Two-Loop Radiative Gluon Jet Function for ggto h via a Light Quark Loop

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arxiv 2110.05322 v1 pith:YXXFZ5WI submitted 2021-10-11 hep-ph

The Two-Loop Radiative Gluon Jet Function for ggto h via a Light Quark Loop

classification hep-ph
keywords factorizationfunctionformulaegluonorderradiativetwo-loopalong
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Higgs-boson production channel $gg\to h$ mediated by light-quark loops receives large logarithmic corrections in QCD, which can be resummed using factorization formulae derived in soft-collinear effective theory. In these factorization formulae the radiative gluon jet function appears, which is a central object in the study of factorization beyond the leading order in scale ratios. We calculate this function at two-loop order for the first time and present the subtleties that come along with this.

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