RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing

TL;DR

This study calculates the renormalization constants of overlap quark bilinears on dynamical fermion configurations, examining how hypercubic smearing affects discretization errors and the accuracy of renormalized quantities.

Contribution

It introduces a detailed analysis of HYP smearing effects on RI/(S)MOM renormalization constants for overlap quarks, providing improved renormalization procedures.

Findings

HYP smearing reduces discretization errors in RCs.

Renormalized quantities show 3-5% difference regardless of smearing level.

RCs in the MS scheme are provided with high precision.

Abstract

On configurations with 2+1-flavor dynamical domain-wall fermions, we calculate the RI/(S)MOM renormalization constants (RC) of overlap quark bilinears. Hypercubic (HYP) smearing is used to construct the overlap Dirac operator. We investigate the possible effects of the smearing on discretization errors in the RCs by varying the level of smearing from 0 to 1 and 2. The lattice is of size $32^3\times64$ and with lattice spacing $1/a=2.383(9)$ GeV. The RCs in the $\overline{\rm MS}$ scheme at 2 GeV are given at the end, with the uncertainty of $Z_T$ reaching $\le1$% for the tensor current. Results of the renormalized quark masses and hadron matrix elements show that the renormalization procedure suppresses the $\sim$ 30% difference of the bare quantities with or without HYP smearing into the 3%-5% level.