RI/MOM and RI/SMOM renormalization of quark bilinear operators using overlap fermions

Abstract

We present the vector, scalar and tensor renormalization constants (RCs) using overlap fermions with either regularization independent momentum subtraction (RI/MOM) or symmetric momentum subtraction (RI/SMOM) as the intermediate scheme on the lattice with lattice spacings $a$ from 0.04 fm to 0.12 fm. Our gauge field configurations from the MILC and RBC/UKQCD collaborations include sea quarks using either the domain wall or the HISQ action, respectively. The results show that RI/MOM and RI/SMOM can provide consistent renormalization constants to the $\overline{\text{MS}}$ scheme, after proper $a^2{p}^2$ extrapolations. But at $p\sim 2$\,GeV, both RI/MOM and RI/SMOM suffer from nonperturbative effects which cannot be removed by the perturbative matching. The comparison between the results with different sea actions also suggests that the renormalization constant is discernibly sensitive to the lattice spacing but not to the bare gauge coupling in the gauge action.

25 pages, 20 figures; Version accepted for publication in PRD

References in corpus (9)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Scaling studies of QCD with the dynamical HISQ action
• 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
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• RI'/SMOM scheme amplitudes for quark currents at two loops
• Off-shell quark bilinear operator Green's functions at two loops

Cited by in corpus (2)

• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Three-loop QCD Mass Relation between the $\overline{\mathrm{MS}}$ and Symmetric-momentum Subtraction Scheme Away from the Chiral Limit