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

Abstract

We present results for the decay constants of the $D$ and $D_s$ mesons computed in lattice QCD with $N_f=2+1$ dynamical flavours. The simulations are based on RBC/UKQCD's domain wall ensembles with both physical and unphysical light-quark masses and lattice spacings in the range 0.11--0.07fm. We employ the domain wall discretisation for all valence quarks. The results in the continuum limit are $f_D=208.7(2.8{)}_{\mathrm{stat}}{\left({}_{-1.8}^{+2.1}\right)}_{\mathrm{sys}}\mathrm{MeV}$ and $f_{D_s}=246.4(1.3{)}_{\mathrm{stat}}{\left({}_{-1.9}^{+1.3}\right)}_{\mathrm{sys}}\mathrm{MeV}$ and $f_{D_s}/f_D=1.1667(77{)}_{\mathrm{stat}}{\left({}_{-43}^{+57}\right)}_{\mathrm{sys}}$. Using these results in a Standard Model analysis we compute the predictions $|V_{cd}|=0.2185(50{)}_{\exp }{\left({}_{-37}^{+35}\right)}_{\mathrm{lat}}$ and $|V_{cs}|=1.011(16{)}_{\exp }{\left({}_{-9}^{+4}\right)}_{\mathrm{lat}}$ for the CKM matrix elements.

References in corpus (21)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• QED Corrections to Hadronic Processes in Lattice QCD
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• $K_L-K_S$ mass difference from lattice QCD
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD
• Use of stochastic sources for the lattice determination of light quark physics
• Step Scaling with off-shell renormalisation
• Measurement of the Absolute Branching Fractions for $D_s^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }$ and Extraction of the Decay Constant $f_{D_s}$
• Prospects for a lattice computation of rare kaon decay amplitudes II $K\to \pi \nu \bar{\nu }$ decays
• First exploratory calculation of the long-distance contributions to the rare kaon decays $K\to \pi {\ell }^{+}{\ell }^{-}$
• Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion
• Improved lattice fermion action for heavy quarks
• An exploratory study of heavy domain wall fermions on the lattice
• A massive momentum-subtraction scheme
• Conserved currents for Mobius Domain Wall Fermions

Cited by in corpus (34)

• FLAG Review 2019
• FLAG Review 2021
• Calculation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Effective charge from lattice QCD
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Gluon propagator and three-gluon vertex with dynamical quarks
• FLAG Review 2024
• Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons
• Reconstructing QCD Spectral Functions with Gaussian Processes
• Challenges in Semileptonic B Decays
• QCD Running Couplings and Effective Charges
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Isospin breaking corrections to meson masses and the hadronic vacuum polarization: a comparative study
• Determination of the pseudoscalar decay constant $f_{D_s^{+}}$ via $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Charmed and $\varphi$ meson decay constants from 2+1-flavor lattice QCD
• SU(3)-breaking ratios for $D_{(s)}$ and $B_{(s)}$ mesons
• Non-perturbative strong coupling at timelike momenta
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Logarithmic corrections to O($a$) and O($a^2$) effects in lattice QCD with Wilson or Ginsparg-Wilson quarks
• Measurement of the branching fraction of leptonic decay $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\pi }^{+}{\pi }^0{\bar{\nu }}_{\tau }$
• Leptonic D_s decays in two-flavour lattice QCD
• Hadron Structure using Continuum Schwinger Function Methods
• Improved measurement of the branching fraction of $D_s^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Measurement of the branching fraction of $D_s^{+}\to {\ell }^{+}{\nu }_{\ell }$ via $e^{+}{e}^{-}\to D_s^{\ast +}{D}_s^{\ast -}$
• Measurement of the branching fraction of $D_s^{+}\to {\tau }^{+}{\nu }_{\tau }$ via ${\tau }^{+}\to {\mu }^{+}{\nu }_{\mu }\overline{{\nu }_{\tau }}$
• Quark flavor physics and lattice QCD
• Radiative Decays of Heavy-light Mesons and the $f_{H,H^{\ast },H_1}^{(T)}$ Decay Constants
• 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 $D^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Beyond the Standard Model Kaon Mixing with Physical Masses
• 2+1 Flavor Domain Wall Fermion QCD Lattices: Ensemble Production and (some) Properties