Gluon jet function at three loops in QCD

TL;DR

This paper computes the first three-loop gluon jet function in perturbative QCD, which is crucial for precise collider phenomenology and enhances theoretical understanding of jet processes.

Contribution

It provides the first three-loop calculation of the gluon jet function using known coefficient functions and theoretical frameworks, extending previous quark jet function results.

Findings

First three-loop gluon jet function in QCD

Agreement with existing quark jet function results

Enhances precision in collider phenomenology

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.