RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations

摘要

Renormalization constants (RCs) of overlap quark bilinear operators on 2 + 1 -flavor domain wall fermion configurations are calculated by using the RI/MOM and RI/SMOM schemes. The scale independent RC for the axial vector current is computed by using a Ward identity. Then the RCs for the quark field and the vector, tensor, scalar, and pseudoscalar operators are calculated in both the RI/MOM and RI/SMOM schemes. The RCs are converted to the MS ˉ scheme and we compare the numerical results from using the two intermediate schemes. The lattice size is 4 8 3 × 96 and the inverse spacing 1 / a = 1.730 ( 4 ) ? ? GeV .