The Two-Loop Radiative Gluon Jet Function for $gg\to h$ via a Light Quark Loop

TL;DR

This paper computes the two-loop radiative gluon jet function for Higgs production via gluon fusion mediated by light quarks, enabling better resummation of large QCD corrections.

Contribution

It provides the first calculation of the two-loop radiative gluon jet function, a key component in higher-order QCD factorization for Higgs production.

Findings

First two-loop calculation of the gluon jet function.

Highlights subtleties in higher-order factorization.

Facilitates improved resummation of QCD corrections.

Abstract

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.