Charmed and $\varphi$ meson decay constants from 2+1-flavor lattice QCD

Abstract

On a lattice with 2+1-flavor dynamical domain-wall fermions at the physical pion mass, we calculate the decay constants of $D_s^{(\ast )}$, $D^{(\ast )}$ and $\varphi$. The lattice size is $48^3\times 96$, which corresponds to a spatial extension of $\sim 5.5$ fm with the lattice spacing $a\approx 0.114$ fm. For the valence light, strange and charm quarks, we use overlap fermions at several mass points close to their physical values. Our results at the physical point are $f_D=213(5)$ MeV, $f_{D_s}=249(7)$ MeV, $f_{D^{\ast }}=234(6)$ MeV, $f_{D_s^{\ast }}=274(7)$ MeV, and $f_{\varphi }=241(9)$ MeV. The couplings of $D^{\ast }$ and $D_s^{\ast }$ to the tensor current ($f_V^T$) can be derived, respectively, from the ratios $f_{D^{\ast }}^T/f_{D^{\ast }}=0.91(4)$ and $f_{D_s^{\ast }}^T/f_{D_s^{\ast }}=0.92(4)$, which are the first lattice QCD results. We also obtain the ratios $f_{D^{\ast }}/f_D=1.10(3)$ and $f_{D_s^{\ast }}/f_{D_s}=1.10(4)$, which reflect the size of heavy quark symmetry breaking in charmed mesons. The ratios $f_{D_s}/f_D=1.16(3)$ and $f_{D_s^{\ast }}/f_{D^{\ast }}=1.17(3)$ can be taken as a measure of SU(3) flavor symmetry breaking.

arXiv comment20 pages, 5 figures, 10 tables; references and acknowledgements added; minor changes, version to be published in Chinese Physics C

References in corpus (28)

• Heavy Quark Symmetry
• FLAG Review 2019
• Domain wall QCD with physical quark masses
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Exclusive Radiative B-Decays in the Light-Cone QCD Sum Rule Approach
• B- and D-meson decay constants from three-flavor lattice QCD
• Use and Misuse of QCD Sum Rules in Heavy-to-light Transitions: the Decay $B\to \rho e\nu$ Reexamined
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• Coupling of the light vector meson to the vector and to the tensor current
• Nonfactorizable contributions to $B\to D^{(\ast )}M$ decays
• B-physics from Nf=2 tmQCD: the Standard Model and beyond
• Meson masses and decay constants from unquenched lattice QCD
• 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
• Charm and strange quark masses and $f_{D_s}$ from overlap fermions
• Prediction of the $D_s^{\ast }$ width from a calculation of its radiative decay in full lattice QCD
• |V_cd| from D Meson Leptonic Decays
• D-meson decay constants and a check of factorization in non-leptonic B-decays
• Masses and decay constants of D(s)* and B(s)* mesons with Nf = 2 + 1 + 1 twisted mass fermions
• V_cs from D_s to ϕlν semileptonic decay and full lattice QCD
• Masses and decay constants of $D_{(s)}^{\ast }$ and $B_{(s)}^{\ast }$ mesons in Lattice QCD with $N_f=2+1+1$ twisted-mass fermions
• The CKM suppressed $B(B_s)\to {\bar{D}}_{(s)}P,{\bar{D}}_{(s)}V,{\bar{D}}_{(s)}^{\ast }P,{\bar{D}}_{(s)}^{\ast }V$ decays in perturbative QCD approach
• Non-perturbative renormalization of overlap quark bilinears on 2+1-flavor domain wall fermion configurations
• The ${\Delta }_{mix}$ parameter in the overlap on domain-wall mixed action
• SU(3)-breaking ratios for $D_{(s)}$ and $B_{(s)}$ mesons
• RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations
• Anatomy of the $\rho$ resonance from lattice QCD at the physical point
• Leptonic D_s decays in two-flavour lattice QCD
• Efficient implementation of the overlap operator on multi-GPUs

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