Triple collinear splitting functions at NLO for scattering processes with photons

TL;DR

This paper computes next-to-leading order triple collinear splitting functions in massless QCD+QED involving photons, providing compact results and verifying their IR divergence structure through multiple consistency checks.

Contribution

It introduces the first NLO triple collinear splitting functions for processes with photons in massless QCD+QED, with thorough validation of IR behavior and symmetry-based consistency checks.

Findings

Validated IR divergence structure of splitting amplitudes

Derived compact NLO splitting functions involving photons

Performed multiple consistency checks confirming results

Abstract

We present splitting functions in the triple collinear limit at next-to-leading order. The computation was performed in the context of massless QCD+QED, considering only processes which include at least one photon. Through the comparison of the IR divergent structure of splitting amplitudes with the expected known behavior, we were able to check our results. Besides that we implemented some consistency checks based on symmetry arguments and cross-checked the results among them. Studying photon-started processes, we obtained very compact results.