Renormalization Scheme Dependence and Renormalization Group Summation

TL;DR

This paper investigates how renormalization scheme dependence affects QCD calculations involving logarithmic radiative corrections and demonstrates a scheme where higher-order effects are absorbed into the running coupling, ensuring scale independence.

Contribution

It introduces a renormalization scheme that absorbs higher-order radiative corrections into the running coupling, reducing scheme dependence in QCD calculations.

Findings

Renormalization scale dependence cancels after RG summation.

A specific scheme minimizes higher-order correction effects.

The approach improves the stability of QCD predictions.

Abstract

We consider logarithmic contributions to the free energy, instanton effective action and Laplace sum rules in QCD that are a consequence of radiative corrections. Upon summing these contributions by using the renormalization group, all dependence on the renormalization scale parameter $\mu$ cancels. The renormalization scheme dependence in these processes is examined, and a renormalization scheme is found in which the effect of higher order radiative corrections is absorbed by the behaviour of the running coupling.