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Radiative Quark Jet Function with an External Gluon

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arxiv 2112.00018 v1 pith:L6Z2DBST submitted 2021-11-30 hep-ph hep-th

Radiative Quark Jet Function with an External Gluon

Ze Long Liu (U. Bern) , Matthias Neubert (JGU Mainz & Cornell U.) , Marvin Schnubel , Xing Wang (JGU Mainz) This is my paper
classification hep-ph hep-th
keywords radiativeexternalfunctiongluonfactorizationfunctionsgammaorder
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Factorization theorems in soft-collinear effective theory at subleading order in power counting involve ``radiative jet functions'', defined in terms of matrix elements of 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 $h\to\gamma\gamma$, $h\to gg$ and $gg\to h$ 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.

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