Pseudoscalar Mass and Decay Constant in Lattice QCD with Exact Chiral Symmetry

Details Pseudoscalar Mass and Decay Constant in Lattice QCD with Exact Chiral Symmetry Pseudoscalar Mass and Decay Constant in Lattice QCD with Exact Chiral Symmetry

2005-09-29

arxiv.org/abs/hep-lat/0509172v1

PoS LAT2005:041,2006

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, Talk presented at Lattice 2005, Dublin, 25-30 July 2005

Scientific paper

The masses and decay constants of pseudoscalar mesons $ D $, $ D_s $, and $ K $ are determined 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 constant are: $ f_K = 152(6)(10) $ MeV, $ f_D = 235(8)(14)$ MeV, and $ f_{D_s} = 266(10)(18) $ MeV [hep-ph/0506266]. The latest experimental result of $ f_{D^+} $ from CLEO [hep-ex/0508057] is in good agreement with our prediction.

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