QCD effective coupling constant and effective quark mass given in a mass-dependent renormalization

TL;DR

This paper revisits one-loop QCD renormalization using a mass-dependent scheme, providing improved expressions for the effective coupling and quark mass that account for quark mass effects.

Contribution

It introduces a mass-dependent subtraction scheme respecting Ward identities, leading to more accurate expressions for the effective coupling and quark mass in QCD.

Findings

Derived improved expressions for the effective coupling and quark mass.

Ensured the correctness of subtraction via Ward identities.

Accounted for quark mass effects in renormalization.

Abstract

The QCD one-loop renormalization is restudied in a mass-dependent subtraction scheme in which the quark mass is not set to vanish and the renormalization point is chosen to be an arbitrary timelike momentum. The correctness of the subtraction is ensured by the Ward identities which are respected in all the processes of subtraction. By considering the mass effect, the effective coupling constant and the effective quark mass are given in improved expressions which are different from the previous results.