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

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 $48^3\times 96$ and the inverse spacing $1/a=1.730(4)\mathrm{GeV}$.

Minor changes and updates of Figure 10 and 15 to be more clear

References in corpus (8)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Strange Quark Magnetic Moment of the Nucleon at Physical Point
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• RI'/SMOM scheme amplitudes for quark currents at two loops
• Sea Quarks Contribution to the Nucleon Magnetic Moment and Charge Radius at the Physical Point
• Quark chiral condensate from the overlap quark propagator

Cited by in corpus (14)

• Proton Mass Decomposition from the QCD Energy Momentum Tensor
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• Charmed and $\varphi$ meson decay constants from 2+1-flavor lattice QCD
• Renormalisation of the tensor current in lattice QCD and the $J/\psi$ tensor decay constant
• Five loop anomalous dimension of non-singlet quark currents in the RI' scheme
• RI/MOM and RI/SMOM renormalization of quark bilinear operators using overlap fermions
• Two-loop renormalization and mixing of gluon and quark energy-momentum tensor operators
• Nucleon isovector scalar charge from overlap fermions
• Off-shell quark bilinear operator Green's functions at two loops
• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Trace anomaly and dynamical quark mass
• Symmetric point flavour singlet axial vector current renormalization at two loops
• Non-perturbative renormalisation with interpolating momentum schemes
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit