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arXiv · 1805.02637

Gluon jet function at three loops in QCD

Pulak Banerjee·Prasanna K. Dhani·V. Ravindran
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Abstract

We present here the first result on the three-loop gluon jet function in perturbative QCD. Using the three-loop coefficient functions [1,2] for deep-inelastic scattering via the exchange of a virtual photon that couples to quarks or a scalar that couples to gluons and employing the KG equation, renormalization group invariance and factorization theorem, we obtain both the quark and the gluon jet functions up to the three-loop level. The former agrees with the recent result [3]. These jet functions being universal ingredients for many collider and decay processes, will play an important role in the phenomenological studies at the Large Hadron Collider.

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Pulak Banerjee, Prasanna K. Dhani, V. Ravindran. 2018-11-20. Gluon jet function at three loops in QCD. https://doi.org/10.1103/physrevd.98.094016

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