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Quark mass dependence of pseudoscalar masses and decay constants on a lattice

  • theoretical physics
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Abstract.

Our previous calculations of the sea- and valence-quark mass dependence of the pseudoscalar meson masses and decay constants is repeated on a \(16^3 \cdot 32\) lattice, which allows for a better determination of the quantities in question. The conclusions are similar as before on the 164 lattice [1]. The two light dynamical quark flavours we simulate have masses in the range m s /4 < m u,d < 2m s /3. The sea quark mass dependence of \(f_\pi\) and \(m_\pi^2/m_q\) is well described by the next-to-leading order (NLO) chiral perturbation theory (ChPT) formulas and clearly shows the presence of chiral logarithms. The valence quark mass dependence requires the presence of NNLO contributions in partially quenched ChPT (PQChPT)--in addition to the NLO terms. The \({\cal O}(a)\) lattice artifacts in these quantities turn out to be small.

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Authors and Affiliations

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

    F. Farchioni

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

    I. Montvay & E. Scholz

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  1. F. Farchioni
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  2. I. Montvay
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  3. E. Scholz
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The qq+q Collaboration

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Received: 19 March 2004, Published online: 24 August 2004

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The qq+q Collaboration., Farchioni, F., Montvay, I. et al. Quark mass dependence of pseudoscalar masses and decay constants on a lattice. Eur. Phys. J. C 37, 197–204 (2004). https://doi.org/10.1140/epjc/s2004-01984-0

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  • DOI: https://doi.org/10.1140/epjc/s2004-01984-0

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