Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion

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 $24^3\times 48$ lattice with the extent $N_s=16$ in the fifth dimension, and the plaquette gauge action at $\beta =6.10$, 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 $\varphi (1020)$ and $J/\psi (3097)$ respectively. Using heavy meson chiral perturbation theory (HMChPT) to extrapolate to the physical pion mass, we obtain $f_D=202.3(2.2)(2.6)$ MeV and $f_{D_s}=258.7(1.1)(2.9)$ MeV.

15 pages, 3 figures. v2: the statistics of ensemble (A) with m_sea = 0.005 has been increased, more details on the systematic error, to appear in Phys. Lett. B

References in corpus (4)

• Infinite N phase transitions in continuum Wilson loop operators
• Beauty mesons in lattice QCD with exact chiral symmetry
• Measurement of the Absolute Branching Fractions for $D_s^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }$ and Extraction of the Decay Constant $f_{D_s}$
• Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion

Cited by in corpus (12)

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• Exploring the flavor content of light and heavy-light pseudoscalars
• Improved measurement of the branching fraction of $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Updated measurement of the branching fraction of $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\pi }^{+}{\bar{\nu }}_{\tau }$
• Measurement of the branching fraction of $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\mu }^{+}{\nu }_{\mu }\overline{{\nu }_{\tau }}$
• Testing the Standard Model under the weight of heavy flavors
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
• Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks
• Precision Measurement of the Branching Fraction of $D^{+}\to {\mu }^{+}{\nu }_{\mu }$