Header

UZH-Logo

Maintenance Infos

Double-real corrections at $\mathcal{O}(\alpha\alpha_s)$ to single gauge boson production


Bonciani, R; Buccioni, F; Mondini, R; Vicini, A (2017). Double-real corrections at $\mathcal{O}(\alpha\alpha_s)$ to single gauge boson production. European Physical Journal C - Particles and Fields, 77(3):187.

Abstract

We consider the $\mathscr{O}(\alpha\alpha_s)$ corrections to single on-shell gauge boson production at hadron colliders. We concentrate on the contribution of all the subprocesses where the gauge boson is accompanied by the emission of two additional real partons and we evaluate the corresponding total cross sections. The latter are divergent quantities, because of soft and collinear emissions, and are expressed as Laurent series in the dimensional regularization parameter. The total cross sections are evaluated by means of reverse unitarity, i.e. expressing the phase-space integrals in terms of two-loop forward box integrals with cuts on the final-state particles. The results are reduced to a combination of master integrals, which eventually are evaluated in terms of generalized polylogarithms. The presence of internal massive lines in the Feynman diagrams, due to the exchange of electroweak gauge bosons, causes the appearance of 14 master integrals which were not previously known in the literature and have been evaluated via differential equations.

Abstract

We consider the $\mathscr{O}(\alpha\alpha_s)$ corrections to single on-shell gauge boson production at hadron colliders. We concentrate on the contribution of all the subprocesses where the gauge boson is accompanied by the emission of two additional real partons and we evaluate the corresponding total cross sections. The latter are divergent quantities, because of soft and collinear emissions, and are expressed as Laurent series in the dimensional regularization parameter. The total cross sections are evaluated by means of reverse unitarity, i.e. expressing the phase-space integrals in terms of two-loop forward box integrals with cuts on the final-state particles. The results are reduced to a combination of master integrals, which eventually are evaluated in terms of generalized polylogarithms. The presence of internal massive lines in the Feynman diagrams, due to the exchange of electroweak gauge bosons, causes the appearance of 14 master integrals which were not previously known in the literature and have been evaluated via differential equations.

Statistics

Citations

Dimensions.ai Metrics
5 citations in Web of Science®
3 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

4 downloads since deposited on 01 Mar 2018
4 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2017
Deposited On:01 Mar 2018 14:39
Last Modified:14 Mar 2018 18:03
Publisher:Springer
ISSN:1434-6044
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1140/epjc/s10052-017-4728-6

Download

Download PDF  'Double-real corrections at $\mathcal{O}(\alpha\alpha_s)$ to single gauge boson production'.
Preview
Content: Published Version
Filetype: PDF
Size: 2MB
View at publisher
Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)