Precise MS light-quark masses from lattice QCD in the regularization invariant symmetric momentum-subtraction scheme
- Institute for Advanced Study, Technische Universitaet Muenchen, Arcisstrasse 21, D-80333 Muenchen (Germany) and Excellence Cluster 'Universe', Technische Universitaet Muenchen, Boltzmannstrasse 2, D-85748 Garching (Germany)
We compute the conversion factors needed to obtain the 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 RI/SMOM{sub {gamma}{sub {mu}} }renormalization schemes. This is important for obtaining the MS masses with the best possible precision from numerical lattice QCD simulations, because the customary RI{sup (')}/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{sub {gamma}{sub {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.
- OSTI ID:
- 21503713
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 82, Issue 11; Other Information: DOI: 10.1103/PhysRevD.82.114001; (c) 2010 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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