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

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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 MS scheme and we compare the numerical results from using the two intermediate schemes. The lattice size is 483×96 and the inverse spacing 1/a=1.730(4) GeV.

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Bi, Y., Cai, H., Chen, Y., Gong, M., Liu, K. F., Liu, Z., & Yang, Y. B. (2018). RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations. Physical Review D, 97(9). https://doi.org/10.1103/PhysRevD.97.094501

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