RI/MOM and RI/SMOM renormalization of quark bilinear operators using the overlap fermion

Abstract

We present the vector, scalar and tensor renormalization constants (RCs) using the overlap fermion on dynamical fermion gauge configurations with either the Domain wall fermion action or HISQ actions, using RI/MOM and RI/SMOM as the intermediate scheme at the lattice spacing $a$ from 0.04 fm to 0.12 fm. The results show that RI/MOM and RI/SMOM can provide consistent renormalization constants under the $\bar{\textrm{MS}}$ scheme, after proper $a^2p^2$ extrapolations. But at $p\sim 2$ GeV, both the RI/MOM and RI/SMOM suffer from nonperturbative effects which cannot be removed by the perturbative matching. The comparison between the results with different sea actions also suggests that the renormalization constant is discernibly sensitive to the lattice spacing but not to the bare gauge coupling in the gauge action.Comment: 21 pages, 15 figure