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.

18 pages, 2 figures, 1 table, 8 ancillary files, Journal version

References in corpus (14)

• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• The Quark Beam Function at NNLL
• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• Fragmentation in Jets at NNLO
• The Gluon Beam Function at Two Loops
• An Explanation of the WW Excess at the LHC by Jet-Veto Resummation
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• Automated NNLL+NLO Resummation for Jet-Veto Cross Sections
• Rapidity-Dependent Jet Vetoes
• Unpolarized Quark and Gluon TMD PDFs and FFs at N${}^3$LO
• The Fully-Differential Quark Beam Function at NNLO
• NNLO zero-jettiness beam and soft functions to higher orders in the dimensional-regularization parameter $\epsilon$
• Transverse Vetoes with Rapidity Cutoff in SCET
• The Fully-Differential Gluon Beam Function at NNLO

Cited by in corpus (6)

• Quark and gluon two-loop beam functions for leading-jet $p_T$ and slicing at NNLO
• Jet-veto resummation at N${}^3$LL${}_{\text{p}}$+NNLO in boson production processes
• 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