The strange quark mass from QCD sum rules

1994/09/15 by Matthias Jamin, Manfred M"unz, Manfred Münz · 16 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1007/bf01579638

published as Z.Phys.C66:633-646,1995 · 31 pages, 5 figures as separate uu-file, (Small TeX-problem corrected) CERN--TH.7435/94, TUM-T31-78/94

arxiv created 1994/09/15 · openalex publication_date 1995/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

The strange quark mass is calculated from QCD sum rules for the divergence of the vector as well as axial-vector 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≡\mb_s(1 \gev)=189±32 \mev, where the error is dominated by the unknown perturbative \cal O(α_s³) correction. Assuming a continued geometric growth of the perturbation series, we find m_s=178±18 \mev. Using both determinations of m_s, together with quark-mass ratios from chiral perturbation theory, we also give estimates of the light quark masses m_u and m_d.

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