Gluon jet function at three loops in QCD

Understand

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.