Three-Loop Quark Jet Function

Physical Review Letters
Robin BrüserMaximilian Stahlhofen

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 primed next-to-next-to-next-to-leading-logarithmic accuracy. 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 method at next-to-next-to-next-to-leading order accuracy, which eventually may enable the calculation of fully differential cross sections with a colorful final state at this order.

References

Sep 28, 2010·Physical Review Letters·Iain W StewartWouter J Waalewijn
Jan 25, 2013·Physical Review Letters·Jun GaoHua Xing Zhu
Aug 22, 2015·Physical Review Letters·Radja BoughezalFrank Petriello
Apr 30, 2016·Physical Review Letters·Radja BoughezalFrank Petriello
Dec 9, 2017·Physical Review Letters·Rutger H BoelsGang Yang

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