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.
Highlights
The Standard Model (SM) is currently being tested to unprecedented accuracy at the Large Hadron Collider (LHC)
The hard part is associated with the physics of large momentum transfer Q; the soft part of the soft virtual (SV) cross section describes the dynamics associated with emission of soft and collinear partons
The inclusive cross section for the scattering of a lepton with a hadron in the deep-inelastic scattering (DIS) is given by σ I ðx; Q2Þ
Summary
We present here the first result on the three-loop gluon jet function in perturbative QCD. B832, 152 (2010).] 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 [R. These jet functions being universal ingredients in the SCET framework, will play an important role in the phenomenological studies at the Large Hadron Collider, such as resummation of jet observables and in N-jettiness subtraction method
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