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Universal structure of radiative QED amplitudes at one loop

Engel, T.; Signer, A.; Ulrich, Y.

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Authors

T. Engel

A. Signer



Abstract

We present two novel results about the universal structure of radiative QED amplitudes in the soft and in the collinear limit. On the one hand, we extend the well-known Low-Burnett-Kroll theorem to the one-loop level and give the explicit relation between the radiative and non-radiative amplitude at subleading power in the soft limit. On the other hand, we consider a factorisation formula at leading power in the limit where the emitted photon becomes collinear to a light fermion and provide the corresponding one-loop splitting function. In addition to being interesting in their own right these findings are particularly relevant in the context of fully-differential higher-order QED calculations. One of the main challenges in this regard is the numerical stability of radiative contributions in the soft and collinear regions. The results presented here allow for a stabilisation of real­virtual amplitudes in these delicate phase-space regions by switching to the corresponding approximation without the need of explicit computations.

Citation

Engel, T., Signer, A., & Ulrich, Y. (2022). Universal structure of radiative QED amplitudes at one loop. Journal of High Energy Physics, 2022(4), Article 97. https://doi.org/10.1007/jhep04%282022%29097

Journal Article Type Article
Acceptance Date Mar 22, 2022
Online Publication Date Apr 15, 2022
Publication Date 2022
Deposit Date May 4, 2022
Publicly Available Date Mar 28, 2024
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 4
Article Number 97
DOI https://doi.org/10.1007/jhep04%282022%29097

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Publisher Licence URL
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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