The method of regions and next-to-soft corrections in Drell-Yan production

D. Bonocore, E. Laenen, L. Magnea, L. Vernazza, C. D. White*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We perform a case study of the behaviour of gluon radiation beyond the soft approximation, using as an example the Drell-Yan production cross section at NNLO. We draw a careful distinction between the eikonal expansion, which is in powers of the soft gluon energies, and the expansion in powers of the threshold variable 1 - z, which involves important hard-collinear effects. Focusing on the contribution to the NNLO Drell-Yan K-factor arising from real-virtual interference, we use the method of regions to classify all relevant contributions up to next-to-leading power in the threshold expansion. With this method, we reproduce the exact two-loop result to the required accuracy, including z-independent non-logarithmic contributions, and we precisely identify the origin of the soft-collinear interference which breaks simple soft-gluon factorisationat next-to-eikonal level. Our results pave the way for the development of a general factorisation formula for next-to-leading-power threshold logarithms, and clarify the nature of loop corrections to a set of recently proposed next-to-soft theorems. (C) 2015 The Authors. Published by Elsevier B.V.

Original languageEnglish
Pages (from-to)375-382
Number of pages8
JournalPhysics Letters B
Volume742
DOIs
Publication statusPublished - 6 Mar 2015

Keywords

  • LEPTON-PAIR PRODUCTION
  • HIGGS-BOSON
  • LARGE-X
  • ASYMPTOTIC-EXPANSION
  • FEYNMAN-INTEGRALS
  • CROSS-SECTIONS
  • GLUON-FUSION
  • K-FACTOR
  • RESUMMATION
  • QCD

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