RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations

TL;DR

This paper computes renormalization constants for overlap quark bilinear operators on domain wall fermion configurations using RI/MOM and RI/SMOM schemes, and compares results after conversion to the MSbar scheme.

Contribution

It provides a detailed calculation of RCs for various operators using two intermediate schemes on a large lattice with comparison to the MSbar scheme.

Findings

RCs for quark bilinears are successfully computed in both schemes.

The results from RI/MOM and RI/SMOM schemes are compared after conversion.

The study enhances understanding of scheme dependence in renormalization constants.

Abstract

Renormalization constants (RCs) of overlap quark bilinear operators on 2+1-flavor domain wall fermion configurations are calculated by using the RI/MOM and RI/SMOM schemes. The scale independent RC for the axial vector current is computed by using a Ward identity. Then the RCs for the quark field and the vector, tensor, scalar and pseudoscalar operators are calculated in both the RI/MOM and RI/SMOM schemes. The RCs are converted to the $\overline{\rm MS}$ scheme and we compare the numerical results from using the two intermediate schemes. The lattice size is $48^3\times96$ and the inverse spacing $1/a = 1.730(4) {\rm~GeV}$.