Relations among Higher Order QCD corrections

TL;DR

This paper investigates the scheme transformation of next-to-leading order QCD corrections, focusing on the Drell-Levy-Yan relation and the construction of scheme-invariant quantities, enhancing understanding of process relations in QCD.

Contribution

It introduces scheme-invariant quantities in NLO QCD corrections and analyzes the DLY relation at this order, providing new insights into process scheme transformations.

Findings

DLY relation holds at NLO for space-like and time-like processes.

Constructed scheme-invariant quantities unaffected by scheme transformations.

Enhanced understanding of QCD correction relations across different processes.

Abstract

We study the scheme transformation of next to leading order QCD corrections to various processes. An interesting relation by Drell, Levy and Yan (DLY) among space like and time like processes is studied carefully in the next to leading order level. We construct factorisation scheme invariants and show that they are DLY-invariant.