Strongly-ordered infrared counterterms from factorisation

Fuente: arXiv
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Hauptverfasser: Magnea, Lorenzo, Milloy, Calum, Signorile-Signorile, Chiara, Torrielli, Paolo
Format: Preprint
Veröffentlicht: 2024
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author Magnea, Lorenzo
Milloy, Calum
Signorile-Signorile, Chiara
Torrielli, Paolo
author_facet Magnea, Lorenzo
Milloy, Calum
Signorile-Signorile, Chiara
Torrielli, Paolo
contents In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered sequence. We study these limits from the point of view of infrared factorisation, and we provide general definitions of strongly-ordered soft and collinear kernels in terms of gauge-invariant operator matrix elements. With these definitions in hand, it is possible to construct local subtraction counterterms for strongly-ordered configurations. Because of their factorised structure, these counterterms cancel infrared poles of real-virtual contributions by construction. We test these ideas at tree level for multiple emissions, and at one loop for single and double emissions, contributing to NNLO and N3LO distributions, respectively.
format Preprint
id arxiv_https___arxiv_org_abs_2403_11975
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strongly-ordered infrared counterterms from factorisation
Magnea, Lorenzo
Milloy, Calum
Signorile-Signorile, Chiara
Torrielli, Paolo
High Energy Physics - Phenomenology
In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered sequence. We study these limits from the point of view of infrared factorisation, and we provide general definitions of strongly-ordered soft and collinear kernels in terms of gauge-invariant operator matrix elements. With these definitions in hand, it is possible to construct local subtraction counterterms for strongly-ordered configurations. Because of their factorised structure, these counterterms cancel infrared poles of real-virtual contributions by construction. We test these ideas at tree level for multiple emissions, and at one loop for single and double emissions, contributing to NNLO and N3LO distributions, respectively.
title Strongly-ordered infrared counterterms from factorisation
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2403.11975