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The strange quark mass from QCD sum rules

  • Theoretical Physics
  • Published:
Zeitschrift für Physik C Particles and Fields

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\(m_s \equiv \bar m_s\)(1 GeV)=189±32 MeV, where the error is dominated by the unknown perturbativeO(α 3s ) correction. Assuming a continued geometric growth of the perturbation series, we findm s =178±18 MeV. Using both determinations ofm s , together with quark-mass ratios from chiral perturbation theory, we also give estimates of the light quark massesm u andm d.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120, Heidelberg, Germany

    M. Jamin

  2. Physik-Department, Technische Universität München, D-85747, Garching, Germany

    M. Münz

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  1. M. Jamin
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Jamin, M., Münz, M. The strange quark mass from QCD sum rules. Z. Phys. C - Particles and Fields 66, 633–645 (1995). https://doi.org/10.1007/BF01579638

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