Pseudoscalar Decay Constants $ f_{D} $ and $ f_{D_s} $ in Lattice QCD with Exact Chiral Symmetry

Details Pseudoscalar Decay Constants $ f_{D} $ and $ f_{D_s} $ in Lattice QCD with Exact Chiral Symmetry Pseudoscalar Decay Constants $ f_{D} $ and $ f_{D_s} $ in Lattice QCD with Exact Chiral Symmetry

2005-06-26

arxiv.org/abs/hep-ph/0506266v1

Phys.Lett.B624:31-38,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 6 eps figures

Scientific paper

10.1016/j.physletb.2005.08.009

We determine the masses and decay constants of pseudoscalar mesons $ D $, $ D_s $, and $ K $ in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with single-plaquette action at $ \beta = 6.1 $ on the $ 20^3 \times 40 $ lattice, we compute point-to-point quark propagators for 30 quark masses in the range $ 0.03 \le m_q a \le 0.80 $, and measure the time-correlation functions of pseudoscalar and vector mesons. The inverse lattice spacing $ a^{-1} $ is determined with the experimental input of $ f_\pi $, while the strange quark bare mass $ m_s a = 0.08 $, and the charm quark bare mass $ m_c a = 0.80 $ are fixed such that the masses of the corresponding vector mesons are in good agreement with $ \phi(1020) $ and $ J/\psi(3097) $ respectively. Our results of pseudoscalar-meson decay constants are $ f_K = 152(6)(10) $ MeV, $ f_D = 235(8)(14)$ MeV, and $ f_{D_s} = 266(10)(18) $ MeV.

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