Decomposition of triple collinear splitting functions

Braun-White, Oscar; Glover, Nigel

doi:10.1007/jhep09(2022)059

Decomposition of triple collinear splitting functions

Braun-White, Oscar; Glover, Nigel

Authors

Oscar Braun-White oscar.r.braun-white@durham.ac.uk
PGR Student Doctor of Philosophy

Professor Nigel Glover e.w.n.glover@durham.ac.uk
Professor

Abstract

In the kinematic region where three particles i, j, k are collinear, the multi-parton scattering amplitudes factorise into a product of a triple collinear splitting function and a multi-parton scattering amplitude with two fewer particles. These triple collinear splitting functions contain both iterated single unresolved contributions, and genuine double unresolved contributions. We make this explicit by rewriting the known triple collinear splitting functions in terms of products of two-particle splitting functions, and a remainder that is explicitly finite when any two of {i, j, k} are collinear. We analyse all of the single unresolved singularities present in the remainder.

Citation

Braun-White, O., & Glover, N. (2022). Decomposition of triple collinear splitting functions. Journal of High Energy Physics, 2022(9), Article 59. https://doi.org/10.1007/jhep09%282022%29059

Journal Article Type	Article
Acceptance Date	Aug 16, 2022
Online Publication Date	Sep 7, 2022
Publication Date	2022-09
Deposit Date	Sep 8, 2022
Publicly Available Date	Sep 8, 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	9
Article Number	59
DOI	https://doi.org/10.1007/jhep09%282022%29059

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