Non-perturbative Renormalization of Bilinear Operators on Fine Lattice

TL;DR

This paper reports on the non-perturbative calculation of wave function and mass renormalization factors for staggered quarks on fine lattices, using the RI-MOM scheme, and compares results across different lattice spacings.

Contribution

It provides the first non-perturbative renormalization results for $Z_q$ and $Z_m$ on fine MILC asqtad lattices using HYP improved staggered quarks, including scalability analysis.

Findings

Non-perturbative $Z_q$ and $Z_m$ obtained on fine lattices.

Comparison of renormalization factors between coarse and fine lattices.

Insights into the scalability of renormalization factors with lattice spacing.

Abstract

We present results of the wave function renormalization factor $Z_q$ and mass renormalization factor $Z_m$ obtained using non-perturbative renormalization (NPR) method in the RI-MOM scheme with HYP improved staggered quarks. We use fine ensembles of MILC asqtad lattices ($N_f = 2+1$) with $28^3 \times 96$ geometry, $a \approx 0.09$\,fm, and $am_\ell/am_s = 0.0062/0.031 $. We also study on scalability of $Z_q$ and $Z_m$ by comparing the results on the coarse and fine ensembles.