Calculation of QCD NLO Splitting Functions in the light-cone gauge: a new regularization prescription

TL;DR

This paper introduces a new regularization method for calculating NLO QCD splitting functions in the light-cone gauge, simplifying calculations and aiding Monte Carlo simulations.

Contribution

It proposes the New Principal Value prescription, a modification of the standard approach, improving the calculation process of NLO DGLAP splitting functions.

Findings

Reproduces standard inclusive results

Simplifies individual contribution calculations

Facilitates Monte Carlo simulations

Abstract

We report on the progress in calculating NLO DGLAP splitting functions for $x<1$ using the New Principal Value prescription, which is a modification of the standard Principal Value approach proposed by Curci, Furmanski and Petronzio in 1980. The new prescription reproduces the standard results on the inclusive (integrated) level, but simplifies individual contributions and restricts the cancellations between real and virtual diagrams which makes it useful for Monte Carlo simulations.