Radiative quark jet function with an external gluon

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