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

Gluon jet function at three loops in QCD