On regularizing the infrared singularities in QCD NLO splitting functions with the new Principal Value prescription

Abstract

We propose a modified use of the Principal Value prescription for regularizing the infrared singularities in the light-cone axial gauge by applying it to all singularities in the light-cone plus component of integration momentum. The modification is motivated by and applied to the re-calculation of the QCD NLO splitting functions for the purpose of Monte Carlo implementations. The final results agree with the standard PV prescription whereas contributions from separate graphs get simplified.

Comments: 11 pages, 1 figure, updated to match published version