Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme

Abstract

We compute the conversion factors needed to obtain the MS-bar and RGI up, down, and strange-quark masses at next-to-next-to-leading order from the corresponding parameters renormalized in the recently proposed RI/SMOM and RI/SMOM_gamma_mu renormalization schemes. This is important for obtaining the MS-bar masses with the best possible precision from numerical lattice-QCD simulations, because the customary RI(')/MOM scheme is afflicted with large irreducible uncertainties both on the lattice and in perturbation theory. We find that the smallness of the known one-loop matching coefficients is accompanied by even smaller two-loop contributions. From a study of residual scale dependences, we estimate the resulting perturbative uncertainty on the light-quark masses to be about 2% in the RI/SMOM scheme and about 3% in the RI/SMOM_gamma_mu scheme. Our conversion factors are given in fully analytic form, for general covariant gauge and renormalization point. We provide expressions for the associated anomalous dimensions.

Added results for the RI/SMOM_gamma_mu scheme and anomalous dimensions; typos fixed (results unchanged); added references

References in corpus (4)

• Algorithm FIRE -- Feynman Integral REduction
• 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
• S-bases as a tool to solve reduction problems for Feynman integrals

Cited by in corpus (23)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Step Scaling with off-shell renormalisation
• Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes
• RI'/SMOM scheme amplitudes for quark currents at two loops
• Banks-Zaks fixed point analysis in momentum subtraction schemes
• Off-shell two loop QCD vertices
• Neutral kaon mixing beyond the Standard Model with nf=2+1 chiral fermions part II: Non Perturbative Renormalisation of the $\Delta F=2$ four-quark operators
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Nucleon isovector couplings in Nf = 2 + 1 lattice QCD at the physical point
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Momentum subtraction and the R-ratio
• Nucleon mass and isovector couplings in 2+1-flavor dynamical domain-wall lattice QCD near physical mass
• Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}^{\prime }$/SMOM scheme
• RI/MOM and RI/SMOM renormalization of quark bilinear operators using overlap fermions
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD
• RI-(S)MOM to $\overline{\mathrm{MS}}$ conversion for $B_K$ at two-loop order
• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Phenomenology from the Lattice
• Off-shell quark bilinear operator Green's functions 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