arXiv:1512.02700·v1·High Energy Physics — Lattice

Nonperturbative Renormalization in the RI-SMOM Scheme and Gribov Uncertainty in the RI-MOM Scheme for Staggered Bilinears

Jangho Kim · Weonjong Lee · Jeonghwan Pak · Sungwoo Park · SWME Collaboration

Abstract

We present results of renormalization factors for bilinear operators obtained using the nonperturbative renormalization method (NPR) in the RI-SMOM schemes. The operators are constructed using HYP staggered quarks on the MILC asqtad lattice ( $N_{f} = 2 + 1$ ). We compare results in the RI-SMOM schemes with those in the RI-MOM scheme for the $V \otimes S$ and $S \otimes S$ operators. Since we use Landau gauge fixing, we study the effect of Gribov ambiguity on the wave function renormalization $Z_{q}$ in the RI-MOM scheme. We find that the Gribov uncertainty is negligibly small for $Z_{q}$ in the RI-MOM scheme.

Comments: 7 pages, 10 figures, Lattice 2015 proceeding