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

### Submission summary

 As Contributors: Marvin Schnubel Arxiv Link: https://arxiv.org/abs/2110.05322v1 (pdf) Date submitted: 2021-10-12 09:59 Submitted by: Schnubel, Marvin Submitted to: SciPost Physics Proceedings Proceedings issue: RADCOR 2021 (15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology) Academic field: Physics Specialties: High-Energy Physics - Phenomenology Approach: Phenomenological

### 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.

###### Current status:
Editor-in-charge assigned