Recursion relations for the multiparton collinear limit and splitting functions

TL;DR

This paper introduces a systematic method using on-shell recursion relations to compute splitting functions in tree-level QCD when multiple partons become collinear, enhancing understanding of particle interactions.

Contribution

It develops a new recursive approach for calculating multiparton collinear splitting functions in QCD, extending previous methods to multiple partons.

Findings

Derived on-shell recursion equations for splitting functions

Applicable to tree-level QCD processes with multiple collinear partons

Provides a systematic computational framework

Abstract

We present a systematic method to evaluate the splitting functions for tree-level QCD processes where m partons approach the collinear limit. The splitting functions are computed by deriving on-shell recursion equations, which are similar to the Berends-Giele recursion relations for off-shell currents.