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

Abstract

Our previous calculations of the sea- and valence-quark mass dependence of the pseudoscalar meson masses and decay constants is repeated on a 16^3x32 lattice which allows for a better determination of the quantities in question. The conclusions are similar as before on the 16^4 lattice [1]. The two light dynamical quark flavours we simulate have masses in the range 1/4 m_s < m_{u,d} < 2/3 m_s. 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 O(a) lattice artifacts in these quantities turn out to be small.

arXiv comment17 pages, 5 figures

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Cited by in corpus (14)

• Scalar form factors of light mesons
• The phase structure of lattice QCD with two flavours of Wilson quarks and renormalization group improved gluons
• Twisted mass quarks and the phase structure of lattice QCD
• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars
• An asymptotic formula for the pion decay constant in a large volume
• Three-Flavor Partially Quenched Chiral Perturbation Theory at NNLO for Meson Masses and Decay Constants
• Hadron masses in QCD with one quark flavour
• Extracting $F_{\pi }$ from small lattices: unquenched results
• Decay Constants of Pseudoscalar Mesons to Two Loops in Three-Flavor Partially Quenched $\chi$PT
• The Pseudoscalar Meson Mass to Two Loops in Three-Flavor Partially Quenched $\chi$PT
• Masses and Decay Constants of Pseudoscalar Mesons to Two Loops in Two-Flavor Partially Quenched Chiral Perturbation Theory
• Determining F_pi from spectral sum rules
• Searching for chiral logs in the static-light decay constant
• Nf=2 Lattice QCD and Chiral Perturbation Theory