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.

arXiv comment15 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

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Cited by in corpus (22)

• FLAG Review 2019
• FLAG Review 2021
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Gradient flow and scale setting on MILC HISQ ensembles
• The decay constants ${\mathbf{f}}_{\mathbf{D}}$ and ${\mathbf{f}}_{{\mathbf{D}}_{\mathbf{s}}}$ in the continuum limit of ${\mathbf{N}}_{\mathbf{f}}=2+1$ domain wall lattice QCD
• Heavy-Light Mesons on the Light Front
• Determination of the pseudoscalar decay constant $f_{D_s^{+}}$ via $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Lattice QCD with $N_f=2+1+1$ domain-wall quarks
• An exploratory study of heavy domain wall fermions on the lattice
• Measurement of the branching fraction of leptonic decay $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\pi }^{+}{\pi }^0{\bar{\nu }}_{\tau }$
• Exploring the flavor content of light and heavy-light pseudoscalars
• Leptonic D_s decays in two-flavour lattice QCD
• Domain-Wall Fermion with $R_5$ Symmetry
• 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 ${\tau }^{+}\to {\pi }^{+}{\bar{\nu }}_{\tau }$
• Testing the Standard Model under the weight of heavy flavors
• Measurement of the branching fraction of $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\mu }^{+}{\nu }_{\mu }\overline{{\nu }_{\tau }}$
• Symmetries in High-Temperature Lattice QCD with $(u,d,s,c,b)$ Optimal Domain-Wall Quarks
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$
• Precision Measurement of the Branching Fraction of $D^{+}\to {\mu }^{+}{\nu }_{\mu }$
• New $N_f=2$ Pseudofermion Action for Monte-Carlo Simulation of Lattice Field Theory with Domain-Wall Fermions
• Mass Spectra of $D_s$ and ${\Omega }_c$ in Lattice QCD with $N_f=2+1+1$ Domain-Wall Quarks