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arXiv · 1804.09722

The Three-loop Quark Jet Function

Robin Brüser·Ze Long Liu·Maximilian Stahlhofen
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Abstract

We calculate the massless quark jet function to three-loop order. The quark jet function is a universal ingredient in SCET factorization for many collider and decay processes with quark initiated final state jets. Our three-loop result contributes to the resummation for observables probing the invariant mass of final state quark jets at N$^3$LL$^\prime$. It represents the first complete three-loop result for a factorization ingredient describing collinear radiation. Furthermore it constitutes a major component of the $N$-jettiness subtraction/slicing method at N$^3$LO, which eventually may enable the calculation of fully-differential cross sections with a colorful final state at this order.

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Robin Brüser, Ze Long Liu, Maximilian Stahlhofen. 2018-04-25. The Three-loop Quark Jet Function. https://doi.org/10.1103/physrevlett.121.072003

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