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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Published in Physical Review D, v. 97, issue 9, 094501, p. 1-18.

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 Internationallicense. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

This group of authors is collectively known as the χQCD Collaboration.

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Funded by SCOAP3.

This work is partially supported by the National Science Foundation of China (NSFC) under Grants No. 11575197, No. 11575196, No. 11335001, No. 11405178, No. U1632104 and by the U.S. DOE Grant No. DE-SC0013065. Y. C. and Z. L. acknowledge the support of NSFC and DFG (CRC110). This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S.Department of Energy under Contract No. DE-AC05-00OR22725. This work used Stampede time under the Extreme Science and Engineering Discovery Environment (XSEDE) [29], which is supported by National Science Foundation Grant No. ACI-1053575. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy.