Leading Order Triple Collinear Splitting Functions Revisited

I review the factorisation properties of tree level amplitudes when three particles \(i\), \(j\), \(k\) are collinear. The triple collinear splitting functions contain both iterated single unresolved contributions, and genuine double unresolved contributions. I make this explicit by rewriting the kn...

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Bibliographic Details
Published in:arXiv.org 2022-07
Main Author: Braun-White, Oscar
Format: Article
Language:English
Subjects:
Gluons
Splitting
Online Access:Get full text
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Summary:I review the factorisation properties of tree level amplitudes when three particles \(i\), \(j\), \(k\) are collinear. The triple collinear splitting functions contain both iterated single unresolved contributions, and genuine double unresolved contributions. I make this explicit by rewriting the known triple collinear splitting functions for a quark and two gluons 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.
ISSN:2331-8422