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 $\overline{\rm MS}$ scheme and we compare the numerical results from using the two intermediate schemes. The lattice size is $48^3\times96$ and the inverse spacing $1/a = 1.730(4) {\rm~GeV}$.
Highlights
With the setup of overlap valence on domain wall fermion (DWF) configurations, the χQCD Collaboration has been determining the strangeness and charmness in the nucleon [1], the charm and strange quark masses [2], and other physical quantities of interests
In this paper we present our calculation of the Renormalization constants (RCs) for the quark field (Zq) and bilinear quark operators (ZS, ZP, ZV, ZA and ZT) by using the RI/MOM and RI/SMOM schemes
Our lattice setup is overlap valence quark on 2 þ 1-flavor domain wall fermion configurations generated by the RBC-UKQCD Collaborations at the physical pion mass [msπea 1⁄4 139.2ð4Þ MeV] [5]
Summary
With the setup of overlap valence on domain wall fermion (DWF) configurations, the χQCD Collaboration has been determining the strangeness and charmness in the nucleon [1], the charm and strange quark masses [2], and other physical quantities of interests These works are based on RBC-UKQCD DWF configurations with lattice sizes 243 × 64 (24I) and 323 × 64 (32I) [3,4]. With the shrink of statistical uncertainties in RCs of flavor nonsinglet quark bilinears, the truncation error in the conversion ratio from the RI/MOM scheme to the MS scheme starts to dominate the total uncertainty of the RC ZSð1⁄4 1=ZmÞ To reduce this truncation error, the RI/SMOM scheme [11,12] was proposed in which unexceptional or symmetric momentum modes are used when calculating vertex functions of operators.
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