A factorization approach to next-to-leading-power threshold logarithms

Bonocore, D., Laenen, E., Magnea, L., Melville, S., Vernazza, L. and White, C.D. (2015) A factorization approach to next-to-leading-power threshold logarithms. Journal of High Energy Physics, 2015(6), 8. (doi: 10.1007/jhep06(2015)008)

Abstract

Threshold logarithms become dominant in partonic cross sections when the selected final state forces gluon radiation to be soft or collinear. Such radiation factorizes at the level of scattering amplitudes, and this leads to the resummation of threshold logarithms which appear at leading power in the threshold variable. In this paper, we consider the extension of this factorization to include effects suppressed by a single power of the threshold variable. Building upon the Low-Burnett-Kroll-Del Duca (LBKD) theorem, we propose a decomposition of radiative amplitudes into universal building blocks, which contain all effects ultimately responsible for next-to-leading-power (NLP) threshold logarithms in hadronic cross sections for electroweak annihilation processes. In particular, we provide a NLO evaluation of the radiative jet function, responsible for the interference of next-to-soft and collinear effects in these cross sections. As a test, using our expression for the amplitude, we reproduce all abelian-like NLP threshold logarithms in the NNLO Drell-Yan cross section, including the interplay of real and virtual emissions. Our results are a significant step towards developing a generally applicable resummation formalism for NLP threshold effects, and illustrate the breakdown of next-to-soft theorems for gauge theory amplitudes at loop level.

• Item Type: Articles
• Keywords: Theoretical physics, QCD phenomenology.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Melville, Stacey Elizabeth and White, Dr Christopher
• Authors: Bonocore, D., Laenen, E., Magnea, L., Melville, S., Vernazza, L., and White, C.D.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Journal of High Energy Physics
• Publisher: Springer
• ISSN: 1126-6708
• ISSN (Online): 1029-8479
• Copyright Holders: Copyright © 2017 The Authors
• First Published: First published in Journal of High Energy Physics 2015(6):8
• Publisher Policy: Reproduced under a Creative Commons License