The strange quark mass from QCD sum rules |
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Authors: | M. Jamin M. Münz |
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Affiliation: | 1. Institut für Theoretische Physik, Universit?t Heidelberg, Philosophenweg 16, D-69120, Heidelberg, Germany 2. Physik-Department, Technische Universit?t München, D-85747, Garching, Germany
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Abstract: | The strange quark mass is calculated from QCD sum rules for the divergence of the vector as well as axialvector current in the next-next-to-leading logarithmic approximation. The determination for the divergence of the axial-vector current is found to be unreliable due to large uncertainties in the hadronic parametrisation of the two-point function.From the sum rule for the divergence of the vector current, we obtain a value of (1 GeV)=189±32 MeV, where the error is dominated by the unknown perturbativeO( s3) correction. Assuming a continued geometric growth of the perturbation series, we findms=178±18 MeV. Using both determinations ofms, together with quark-mass ratios from chiral perturbation theory, we also give estimates of the light quark massesmu andmd. |
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