Decomposition of triple collinear splitting functions

Braun-White, Oscar; Glover, Nigel

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
• Electronic ISSN: 1029-8479
• 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
• Public URL: https://durham-repository.worktribe.com/output/1191828