25–30 Apr 2022
Ettal
Europe/Berlin timezone

Decomposition of Triple Collinear Splitting Functions

26 Apr 2022, 15:30
30m
Raum Graswangtal

Raum Graswangtal

Speaker

Oscar Braun-White (IPPP, Durham University)

Description

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.

Primary authors

Nigel Glover (IPPP Durham) Oscar Braun-White (IPPP, Durham University)

Presentation materials