Abstract
We present the first study of the masses and decay constants of the pseudoscalar D mesons in two flavors lattice QCD with domain-wall fermion. The gauge ensembles are generated on the 243×48 lattice with the extent Ns=16 in the fifth dimension, and the plaquette gauge action at β=6.10, for three sea-quark masses with corresponding pion masses in the range 260–475 MeV. We compute the point-to-point quark propagators, and measure the time-correlation functions of the pseudoscalar and vector mesons. The inverse lattice spacing is determined by the Wilson flow, while the strange and the charm quark masses by the masses of the vector mesons ϕ(1020) and J/ψ(3097) respectively. Using heavy meson chiral perturbation theory (HMChPT) to extrapolate to the physical pion mass, we obtain fD=202.3(2.2)(2.6) MeV and fDs=258.7(1.1)(2.9) MeV.
Highlights
We present the first study of the masses and decay constants of the pseudoscalar D mesons in two flavors lattice QCD with domain-wall fermion
Matrix element, ml is the mass of the lepton, MP is the mass of the charged pseudoscalar meson, and fP is the decay constant of the charged pseudocalar meson, which is defined by the matrix element of the axial vector current between the QCD vacuum and the one-particle state of the charged pseudoscalar meson, 0|qγμγ5Q(0)|P (q) = ifP qμ
It is nontrivial to formulate Dirac fermion field with exact chiral symmetry at finite lattice spacing. This is realized through the domain-wall fermion (DWF) on the 5-dimensional lattice [3] and the overlap-Dirac fermion on the 4-dimensional lattice [4]
Summary
We present the first study of the masses and decay constants of the pseudoscalar D mesons in two flavors lattice QCD with domain-wall fermion. We perform the hybrid Monte Carlo simulation of two flavors QCD on the 243 × 48 lattice with the plaquette gauge action at β = 6/g2 = 6.10, for three sea-quark masses (mseaa = 0.005, 0.01, 0.02) with the corresponding pion masses in the range 260-475 MeV.
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