Non-perturbative Renormalization of Bilinear Operators with Improved Staggered Quarks

TL;DR

This paper reports non-perturbative renormalization factors for bilinear operators in improved staggered quarks using the RI-MOM scheme on MILC lattices, aiding precise lattice QCD calculations.

Contribution

It provides the first non-perturbative renormalization factors for bilinear operators with improved staggered fermions on MILC lattices.

Findings

Calculated wave function renormalization factor $Z_q$ from conserved vector current.

Determined mass renormalization factor $Z_m$ from scalar bilinear operator.

Presented preliminary renormalization factors for other bilinear operators.

Abstract

We present renormalization factors for the bilinear operators obtained using the non-perturbative renormalization method (NPR) in the RI-MOM scheme with improved staggered fermions on the MILC asqtad lattices ($N_f = 2+1$). We use the MILC coarse ensembles with $20^3 \times 64$ geometry and $am_{\ell}/am_s = 0.01/0.05$. We obtain the wave function renormalization factor $Z_q$ from the conserved vector current and the mass renormalization factor $Z_m$ from the scalar bilinear operator. We also present preliminary results of renormalization factors for other bilinear operators.