Renormalization constants of overlap quark bilinear operators from RI/MOM and RI/SMOM scheme

TL;DR

This paper computes the renormalization constants of various quark operators using overlap fermions on multiple gauge ensembles, demonstrating consistency between schemes and highlighting the dependence on lattice spacing.

Contribution

It provides a comprehensive calculation of RCs for overlap quark operators across different actions and schemes, with careful analysis of scheme consistency and lattice spacing effects.

Findings

RCs are consistent between RI/MOM and RI/SMOM schemes after extrapolation.

RCs primarily depend on lattice spacing rather than gauge coupling.

Results are stable across different fermion and gauge actions.

Abstract

We calculate the renormalization constants (RCs) of vector, axial, vector scalar, pseudoscalar and tensor quark operators of the overlap valence fermion, on the 11 gauge ensembles with dynamical fermion using either Domain wall fermion~(DWF) action orHighly improved stagger quark~(HISQ) action at lattice spacings from 0.04 fm to 0.20 fm. We find the results under the $\overline{\text{MS}}$ scheme using either the RI/MOM or RI/SMOM scheme are consistent with each other, once the proper $a^2p^2$ extrapolation is applied and the systematic uncertainties are estimated cautiously. Our results with different gauge and fermion actions also indicate that the RCs are majorly dependent on the lattice spacing (as the inverse of UV cut-off) rather than the bare gauge coupling used by the gauge action.