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Quark mass dependence of masses and decay constants of the pseudo-Goldstone bosons in QCD

  • theoretical physics
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Abstract.

The dependence of the pseudo-scalar meson masses and decay constants on sea and valence quark masses is compared to next-to-leading order (NLO) chiral perturbation theory (ChPT). The numerical simulations with two light dynamical quark flavors are performed with the Wilson quark lattice action at gauge coupling \(\beta = 5.1\) and hopping parameters \(\kappa = 0.176,\; 0.1765,\; 0.177\) on a 164 lattice. \({\cal O}(a)\) lattice artifacts are taken into account by applying chiral perturbation theory for the Wilson lattice action. The values of the relevant combinations of Gasser-Leutwyler constants L 4, L 5, L 6 and L 8 are estimated.

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Authors and Affiliations

  1. Westfälische Wilhelms-Universität Münster, Institut für Theoretische Physik, Wilhelm-Klemm-Strasse 9, 48149, Münster, Germany

    F. Farchioni

  2. Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22603, Hamburg, Germany

    I. Montvay, E. Scholz & L. Scorzato

Authors
  1. F. Farchioni
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  2. I. Montvay
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  3. E. Scholz
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  4. L. Scorzato
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The qq+q Collaboration

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Received: 7 July 2003, Published online: 2 October 2003

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Farchioni, F., Montvay, I., Scholz, E. et al. Quark mass dependence of masses and decay constants of the pseudo-Goldstone bosons in QCD. Eur. Phys. J. C 31, 227–238 (2003). https://doi.org/10.1140/epjc/s2003-01321-3

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  • DOI: https://doi.org/10.1140/epjc/s2003-01321-3

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