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- W2118415510 abstract "We compute the conversion factors needed to obtain the $overline{mathrm{MS}}$ and renormalization-group-invariant (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 $mathrm{RI}/{mathrm{SMOM}}_{{ensuremath{gamma}}_{ensuremath{mu}}}$ renormalization schemes. This is important for obtaining the $overline{mathrm{MS}}$ masses with the best possible precision from numerical lattice QCD simulations, because the customary ${mathrm{RI}}^{(ensuremath{'})}/mathrm{MOM}$ 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 $mathrm{RI}/{mathrm{SMOM}}_{{ensuremath{gamma}}_{ensuremath{mu}}}$ 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." @default.
- W2118415510 created "2016-06-24" @default.
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- W2118415510 date "2010-12-01" @default.
- W2118415510 modified "2023-10-06" @default.
- W2118415510 title "Precise<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mover accent=true><mml:mi>MS</mml:mi><mml:mo stretchy=true>¯</mml:mo></mml:mover></mml:math>light-quark masses from lattice QCD in the regularization invariant symmetric momentum-subtraction scheme" @default.
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- W2118415510 doi "https://doi.org/10.1103/physrevd.82.114001" @default.
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