SU(3)-breaking ratios for $D_{(s)}$ and $B_{(s)}$ mesons

Abstract

We present results for the $SU(3)$ breaking ratios of decay constants $f_{D_s}/f_D$ and $f_{B_s}/f_B$ and - for the first time with physical pion masses - the ratio of bag parameters $B_{B_s}/B_{B_d}$, as well as the ratio $\xi$, forming the ratio of the nonpeturbative contributions to neutral $B_{(s)}$ meson mixing. Our results are based on Lattice QCD simulations with chirally symmetric 2+1 dynamical flavors of domain wall fermions. Eight ensembles at three different lattice spacing in the range $a=0.11-0.07\mathrm{fm}$ enter the analysis two of which feature physical light quark masses. Multiple heavy quark masses are simulated ranging from below the charm quark mass to half the bottom quark mass. The $SU(3)$ breaking ratios display a very benign heavy mass behaviour allowing for extrapolation to the physical bottom quark mass. The results in the continuum limit including all sources of systematic errors are $f_{D_s}/f_D=1.1740(51{)}_{\mathrm{stat}}{(}_{-68}^{+68}{)}_{\mathrm{sys}}$, $f_{B_s}/f_B=1.1949(60{)}_{\mathrm{stat}}{(}_{-175}^{+95}{)}_{\mathrm{sys}}$, $B_{B_s}/B_{B_d}=0.9984(45{)}_{\mathrm{stat}}{(}_{-63}^{+80}{)}_{\mathrm{sys}}$ and $\xi =1.1939(67{)}_{\mathrm{stat}}{(}_{-177}^{+95}{)}_{\mathrm{sys}}$. Combining these with experimentally measured values we extract the ratios of CKM matrix elements $|V_{cd}/V_{cs}|=0.2164(57{)}_{\exp }{(}_{-12}^{+12}{)}_{\mathrm{lat}}$ and $|V_{td}/V_{ts}|=0.20329(41{)}_{\exp }{(}_{-301}^{+162}{)}_{\mathrm{lat}}$.

arXiv comment*temporary entry* 42 pages, 23 figures

References in corpus (41)

• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• Chiral Fermions from Lattice Boundaries
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Axial symmetries in lattice QCD with Kaplan fermions
• Domain wall QCD with physical quark masses
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Decay width of light quark hybrid meson from the lattice
• B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks
• Charmed meson decay constants in three-flavor lattice QCD
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• A Study of Time-Dependent CP-Violating Asymmetries and Flavor Oscillations in Neutral B Decays at the Upsilon(4S)
• Improved Measurement of cal{B}(D^+ --> mu^+ nu) and the Pseudoscalar Decay Constant f_{D^+}
• Precision measurement of $CP$ violation in $B_s^0\to J/\psi K^{+}{K}^{-}$ decays
• Gauge-Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
• The B and B_s Meson Decay Constants from Lattice QCD
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• Bs mixing observables and Vtd/Vts from sum rules
• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Quark mass dependence of hadron masses from lattice QCD
• Precision measurement of the $B_s^0$-${\bar{B}}_s^0$ oscillation frequency with the decay $B^{0}_{s}\rightarrowD^{-}_{s}π^{+}$
• QCD with domain wall quarks
• Domain wall quarks and kaon weak matrix elements
• Improved Measurement of CP-Violation Parameters sin(2phi1) and |lambda|, B Meson Lifetimes, and B0-B0bar Mixing Parameter Delta m_d
• New methods for B meson decay constants and form factors from lattice NRQCD
• Mass of the b-quark and B-decay constants from Nf=2+1+1 twisted-mass 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
• Measurements of branching fractions of leptonic and hadronic Ds+ meson decays and extraction of the Ds+ meson decay constant
• Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
• Improved Measurement of Absolute Branching Fraction of Ds to tau nu
• Use of stochastic sources for the lattice determination of light quark physics
• |V_cd| from D Meson Leptonic Decays
• Measurement of the B0 B0-bar oscillation frequency using pi-B meson charge-flavor correlations in p p-bar collisions at sqrt{s} = 1.8 TeV
• Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks
• Neutral B-meson mixing from unquenched lattice QCD with domain-wall light quarks and static b-quarks
• SU(3) Flavor Breaking in Hadronic Matrix Elements for $B-\bar{B}$ Oscillations
• Neutral B-meson mixing from three-flavor lattice QCD: Determination of the SU(3)-breaking ratio ξ
• Measurement of Bd mixing using opposite-side flavor tagging
• Measurement of B0 - B0-bar flavor oscillations using jet-charge and lepton flavor tagging in p p-bar collisions at sqrt[s]=1.8 TeV
• Measurement of the $B_d^0-\bar{B}{}_d^0$ flavor oscillation frequency and study of same side flavor tagging of B mesons in $p\bar{p}$ collisions
• An exploratory study of heavy domain wall fermions on the lattice
• Measurement of the $B^0-{\bar{B}}^0$ mixing rate with $B^0({\bar{B}}^0)\to D^{\ast \mp }{\pi }^{\pm }$ partial reconstruction

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• Neutral B-meson mixing from full lattice QCD at the physical point
• Bs mixing observables and Vtd/Vts from sum rules
• Cornering the Two Higgs Doublet Model Type II
• Precise determination of the B0s-B0sbar oscillation frequency
• Improved $V_{cs}$ determination using precise lattice QCD form factors for $D\to K\ell \nu$
• Charmed and $\varphi$ meson decay constants from 2+1-flavor lattice QCD
• Searching for New Physics with $\overline{\mathcal{B}}(B_{s,d}\to \mu \bar{\mu })/\Delta M_{s,d}$
• Constraints on New Physics from $B$ mesons
• Alternative implementation of atomic form factors
• Re-evaluation of the isoscalar mixing angle within selected mesonic nonets