Two real parton contributions to non-singlet kernels for exclusive QCD DGLAP evolution

TL;DR

This paper presents detailed calculations of two real parton contributions to non-singlet NLO QCD kernels, aiding the development of more accurate parton shower Monte Carlo simulations and comparing different factorization schemes.

Contribution

It provides explicit NLO non-singlet real parton distributions and their phase space integrations, enhancing numerical control and understanding of Monte Carlo implementations.

Findings

Explicit two real parton distributions for NLO kernels

Comparison between $ar{MS}$ and Monte Carlo factorization schemes

Improved numerical accuracy for NLO QCD evolution in Monte Carlo simulations

Abstract

Results for the two real parton differential distributions needed for implementing a next-to-leading order (NLO) parton shower Monte Carlo are presented. They are also integrated over the phase space in order to provide solid numerical control of the MC codes and for the discussion of the differences between the standard $\bar{MS}$ factorization and Monte Carlo implementation at the level of inclusive NLO evolution kernels. Presented results cover the class of non-singlet diagrams entering into NLO kernels. The classic work of Curci-Furmanski-Pertonzio was used as a guide in the calculations.