Radiative quark jet function with an external gluon

Factorization theorems in soft-collinear effective theory at subleading order in power counting involve radiative jet functions, defined in terms of matrix elements of hard-collinear fields with a soft momentum emitted from inside the jet. Of particular importance are the radiative quark jet functions with an external photon or gluon, which arise e.g. in the factorization theorems for the Higgs-boson amplitudes h -> gamma gamma, h -> gg and gg -> h induced by light-quark loops. While the photon case has been studied extensively in previous work, we present here a detailed study of the radiative jet function with an external gluon. We calculate this jet function at one- and two-loop order, derive its one-loop anomalous dimension and study its renormalization-group evolution.

Automated summary

Factorization theorems in soft-collinear effective theory at subleading order involve radiative jet functions defined in terms of matrix elements of hard-collinear fields with a soft momentum emitted from inside the jet. This study focuses on the radiative jet function with an external gluon, calculating it at one- and two-loop order, deriving its one-loop anomalous dimension, and studying its renormalization-group evolution.