RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations
Physical review. D/Physical review. D.2018Vol. 97(9)
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Abstract
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 $\overline{\mathrm{MS}}$ scheme and we compare the numerical results from using the two intermediate schemes. The lattice size is $4{8}^{3}\ifmmode\times\else\texttimes\fi{}96$ and the inverse spacing $1/a=1.730(4)\text{ }\text{ }\mathrm{GeV}$.
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