The NNLO quark beam function for jet-veto resummation

Abstract

We consider the quark beam function that describes collinear initial-state radiation that is constrained by a veto on reconstructed jets. As the veto is imposed on the transverse momenta of the jets, the beam function is subject to rapidity divergences, and we use the collinear-anomaly framework to extract the perturbative matching kernels to next-to-next-to-leading order (NNLO) in the strong-coupling expansion. Our calculation is based on a novel framework that automates the computation of beam functions in Mellin space and it provides the ingredients to extend jet-veto resummations for quark-initiated processes to NNLL${}^{\prime }$ accuracy.

arXiv comment18 pages, 2 figures, 1 table, 8 ancillary files, Journal version

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• The NNLO soft function for N-jettiness in hadronic collisions
• Two-loop bottom mass effects on the Higgs transverse momentum spectrum in top-induced gluon fusion
• Jet veto resummation for STXS $H+$1-jet bins at aNNLL${}^{\prime }$+NNLO
• The Drell-Yan Process at NNLL${}^{\prime }$+NNLO using Rapidity Dependent Jet Vetoes