NLO evolution kernels: Monte Carlo versus MSbar

TL;DR

This paper compares NLO evolution kernels in CFP and MC schemes, analyzing their differences, origins, and the impact of factorization scale choices on the kernels in the non-singlet case.

Contribution

It explicitly identifies the origins of differences between CFP and MC NLO kernels and examines how factorization scale choices affect the MC scheme kernels.

Findings

Differences between CFP and MC NLO kernels are explicitly characterized.

The influence of factorization scale choices on MC kernels is analyzed.

Origins of kernel differences are clarified.

Abstract

We investigate the differences between the NLO evolution kernels in the Curci-Furmanski-Petronzio (CFP) and Monte Carlo (MC) factorization schemes for the non-singlet case. We show the origin of these differences and present them explicitly. We examine the influence of the choice of the factorization scale in the MC scheme (given by the upper phase space limit) on the evolution kernels in this scheme.