A massive momentum-subtraction scheme

TL;DR

The paper introduces mSMOM, a new massive renormalization scheme based on SMOM, allowing for non-zero fermion masses in QCD, with theoretical properties and initial perturbative results.

Contribution

It proposes the mSMOM scheme as a modification of SMOM, extending renormalization to non-zero fermion masses in QCD and analyzing its properties and perturbative behavior.

Findings

mSMOM shares properties with SMOM, such as non-exceptional momenta.

The scheme defines fields away from the chiral limit.

One-loop calculations illustrate the scheme's properties.

Abstract

We introduce a new massive renormalization scheme, denoted mSMOM, as a modification of the existing RI/SMOM scheme. We use SMOM for defining renormalized fermion bilinears in QCD at non-vanishing fermion mass. This scheme has properties similar to those of the SMOM scheme, such as the use of non-exceptional symmetric momenta, while in contrast to SMOM, it defines the renormalized fields away from the chiral limit. Here we discuss some of the properties of mSMOM, and present non-perturbative arguments for deriving some renormalization constants. The results of a 1-loop calculation in dimensional regularization are briefly summarised to illustrate some properties of the scheme.