Skip to main content

Research Repository

Advanced Search

Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold

Broggio, Alessandro; Jaskiewicz, Sebastian; Vernazza, Leonardo

Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold Thumbnail


Authors

Alessandro Broggio

Leonardo Vernazza



Abstract

We calculate the generalized soft functions at O(α2s) at next-to-leading power accuracy for the Drell-Yan process at threshold. The operator definitions of these objects contain explicit insertions of soft gauge and matter fields, giving rise to a dependence on additional convolution variables with respect to the leading power result. These soft functions constitute the last missing ingredient for the validation of the bare factorization theorem to NNLO accuracy. We carry out the calculations by reducing the soft squared amplitudes into a set of canonical master integrals and we employ the method of differential equations to evaluate them. We retain the exact d-dimensional dependence of the convolution variables at the integration boundaries in order to regulate the fixed-order convolution integrals. After combining the soft functions with the relevant collinear functions, we perform checks of the results at the cross-section level against the literature and expansion-by-regions calculations, at NNLO and partly at N3LO, finding agreement.

Citation

Broggio, A., Jaskiewicz, S., & Vernazza, L. (2021). Next-to-leading power two-loop soft functions for the Drell-Yan process at threshold. Journal of High Energy Physics, 2021(10), https://doi.org/10.1007/jhep10%282021%29061

Journal Article Type Article
Acceptance Date Sep 13, 2021
Online Publication Date Oct 7, 2021
Publication Date 2021
Deposit Date Jan 11, 2022
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2021
Issue 10
DOI https://doi.org/10.1007/jhep10%282021%29061

Files

Published Journal Article (666 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





You might also like



Downloadable Citations