A massive momentum-subtraction scheme

TL;DR

The paper introduces RI/mSMOM, a new renormalization scheme for fermion bilinears in QCD that works at non-zero quark masses and maintains advantages of previous schemes, with explicit one-loop validation.

Contribution

It defines the RI/mSMOM scheme, extending nonexceptional momentum schemes to non-zero quark masses in QCD, enabling renormalization away from the chiral limit.

Findings

Scheme preserves benefits of RI/SMOM with non-zero quark masses.

Explicit one-loop computations validate the scheme's properties.

Allows renormalization of composite fields outside the chiral limit.

Abstract

A new renormalization scheme is defined for fermion bilinears in QCD at non vanishing quark masses. This new scheme, denoted RI/mSMOM, preserves the benefits of the nonexceptional momenta introduced in the RI/SMOM scheme, and allows a definition of renormalized composite fields away from the chiral limit. Some properties of the scheme are investigated by performing explicit one-loop computation in dimensional regularization.