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Two-loop leading colour helicity amplitudes for W±γ + j production at the LHC

Badger, Simon; Hartanto, Heribertus Bayu; Kryś, Jakub; Zoia, Simone

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Authors

Simon Badger

Heribertus Bayu Hartanto

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Jakub Krys jakub.m.krys@durham.ac.uk
PGR Student Doctor of Philosophy

Simone Zoia



Abstract

We present the two-loop leading colour QCD helicity amplitudes for the process pp → W (→ lν)γ + j. We implement a complete reduction of the amplitudes, including the leptonic decay of the W-boson, using finite field arithmetic, and extract the analytic finite remainders using a recently identified basis of special functions. Simplified analytic expressions are obtained after considering permutations of a rational kinematic parametrisation and multivariate partial fractioning. We demonstrate efficient numerical evaluation of the two-loop colour and helicity summed finite remainders for physical kinematics, and hence the suitability for phenomenological applications.

Citation

Badger, S., Hartanto, H. B., Kryś, J., & Zoia, S. (2022). Two-loop leading colour helicity amplitudes for W±γ + j production at the LHC. Journal of High Energy Physics, 2022(5), Article 35. https://doi.org/10.1007/jhep05%282022%29035

Journal Article Type Article
Acceptance Date Apr 14, 2022
Online Publication Date May 5, 2022
Publication Date 2022-05
Deposit Date Jul 5, 2022
Publicly Available Date Jul 5, 2022
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Issue 5
Article Number 35
DOI https://doi.org/10.1007/jhep05%282022%29035

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http://creativecommons.org/licenses/by/4.0/

Copyright Statement
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.





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