Talk presented by Rainer Sommer

Parallel Session: QCD Spectrum and Quark Masses IV

Friday July 2nd, 17.00 - 17.20, Auditorium

Light quark masses in quenched QCD

Abstract: We discuss a strategy to compute the light quark masses using lattice QCD combined with chiral perturbation theory. As a test case we determine the strange quark mass in the quenched approximation. Using full O($a$) improvement and the non-perturbative mass renormalization of the ALPHA-collaboration, precise results are obtained for 4 different values of the lattice spacing. After extrapolation to the continuum, the renormalization group invariant quark mass is obtained with 4\% overall error. MS-bar masses for finite renormalization scales $\mu$ can be obtained through perturbative conversion factors known up to 4-loop precision.

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