Electromagnetic mass difference on the lattice

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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6 pages, 4 figures, talk presented at Lattice 2005 (Hadron spectrum and quark masses)

Scientific paper

We calculate electromagnetic mass difference of mesons using a method proposed by Duncan {\it et al}. The RG-improved gauge action and the non-compact Abelian gauge action are employed to generate configurations. Quark propagators in the range of $m_{PS}/m_{V}=0.76-0.51$ are obtained with the meanfield-improved clover quark action. Chiral and continuum extrapolations are performed and the results are compared with experiments. Finite size effects are also examined. Quark masses are extracted from the measured spectrum. Our preliminary values for light quark masses are $m_{u}^{\bar{MS}}(\mu =2 {GeV}) = 3.03(19)$ MeV, $m_{d}^{\bar{MS}}(\mu = 2 {GeV}) = 4.44(28)$ MeV, $m_{s}^{\bar{MS}}(\mu = 2 {GeV}) = 99.2(52)$ MeV.

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