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  • Letter
  • Open Access

Next-to-soft corrections for Drell-Yan and Higgs boson rapidity distributions beyond N3LO

A. H. Ajjath*, Pooja Mukherjee†, V. Ravindran‡, Aparna Sankar§, and Surabhi Tiwari∥

  • The Institute of Mathematical Sciences, HBNI, Taramani, Chennai 600113, India

  • *ajjathah@imsc.res.in
  • †poojamukherjee@imsc.res.in
  • ‡ravindra@imsc.res.in
  • §aparnas@imsc.res.in
  • ∥surabhit@imsc.res.in

Phys. Rev. D 103, L111502 – Published 8 June, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L111502

Abstract

We present a formalism that resums both soft-virtual (SV) and next-to-SV (NSV) contributions to all orders in perturbative QCD for the rapidity distribution of any colorless particle produced in hadron colliders. Using state-of-the-art results, we determine the complete NSV contributions to third order in the strong coupling constant for the rapidity distributions for Drell-Yan and for Higgs boson in gluon fusion as well as bottom quark annihilation. Using our all-order z-space result, we show how the NSV contributions can be resummed in two-dimensional Mellin space.

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