Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD

Abstract

We determine masses and decay constants of heavy-heavy and heavy-charm pseudoscalar mesons as a function of heavy quark mass using a fully relativistic formalism known as Highly Improved Staggered Quarks for the heavy quark. We are able to cover the region from the charm quark mass to the bottom quark mass using MILC ensembles with lattice spacing values from 0.15 fm down to 0.044 fm. We obtain f_{B_c} = 0.427(6) GeV; m_{B_c} = 6.285(10) GeV and f_{η_b} = 0.667(6) GeV. Our value for f_{η_b} is within a few percent of f_Υ confirming that spin effects are surprisingly small for heavyonium decay constants. Our value for f_{B_c} is significantly lower than potential model values being used to estimate production rates at the LHC. We discuss the changing physical heavy-quark mass dependence of decay constants from heavy-heavy through heavy-charm to heavy-strange mesons. A comparison between the three different systems confirms that the B_c system behaves in some ways more like a heavy-light system than a heavy-heavy one. Finally we summarise current results on decay constants of gold-plated mesons.

16 pages, 12 figures

References in corpus (7)

• 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
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Measurement of the Bc meson mass in the exclusive decay Bc --> Jpsi Pi
• Update: Accurate Determinations of alpha_s from Realistic Lattice QCD
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• Measuring B -> tau nu and B_c -> tau nu at the Z peak

Cited by in corpus (102)

• The $XYZ$ states: experimental and theoretical status and perspectives
• QCD and strongly coupled gauge theories: challenges and perspectives
• 50 Years of Quantum Chromodynamics
• Heavy Quarkonium in a Holographic Basis
• Neutral B-meson mixing from full lattice QCD at the physical point
• Minimally flavored colored scalar in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ and the mass matrices constraints
• B-meson decay constants: a more complete picture from full lattice QCD
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Impact of polarization observables and $B_c\to \tau \nu$ on new physics explanations of the $b\to c\tau \nu$ anomaly
• Quarkonium as relativistic bound state on the light front
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• Addendum to "Impact of polarization observables and $B_c\to \tau \nu$ on new physics explanations of the $b\to c\tau \nu$ anomaly"
• Excited spectroscopy of charmed mesons from lattice QCD
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• $Q\bar{Q}$ ($Q\in \{b,c\}$) spectroscopy using Cornell potential
• Spectroscopy of doubly-charmed baryons from lattice QCD
• $B_s\to D_s\ell \nu$ Form Factors for the full $q^2$ range from Lattice QCD with non-perturbatively normalized currents
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Leading-twist parton distribution amplitudes of S-wave heavy-quarkonia
• $R(J/\psi )$ and $B_c^{-}\to J/\psi {\ell }^{-}{\bar{\nu }}_{\ell }$ Lepton Flavor Universality Violating Observables from Lattice QCD
• Effective Majorana mass matrix from tau and pseudoscalar meson lepton number violating decays
• Challenges in Semileptonic B Decays
• Deuteron-like heavy dibaryons from Lattice QCD
• Implications of scalar and tensor explanations of $R_{D^{(\ast )}}$
• On lepton flavour universality in semileptonic $B_c\to {\eta }_c,J/\psi$ decays
• Poincaré-covariant analysis of heavy-quark baryons
• A UV complete partially composite-pNGB Higgs
• Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks
• Lattice QCD form factor for $B_s\to D_s^{\ast }l\nu$ at zero recoil with non-perturbative current renormalisation
• $B_c\to J/\psi$ Form Factors for the full $q^2$ range from Lattice QCD
• Lattice QCD study of doubly-charmed strange baryons
• V_cs from D_s to ϕlν semileptonic decay and full lattice QCD
• Lepton flavor violating quarkonium decays
• Self-consistency and covariance of light-front quark models: testing via $P$, $V$ and $A$ meson decay constants, and $P\to P$ weak transition form factors
• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Constraints for the semileptonic $B\to D^{(\ast )}$ form factors from lattice QCD simulations of two-point correlation functions
• Magnetic properties of ground-state mesons
• Vector hidden-bottom tetraquark candidate: $Y(10750)$
• Standard Model prediction of the $B_c$ lifetime
• Mixing effects on 1S and 2S state heavy mesons in the light-front quark model
• Strongly Bound Dibaryon with Maximal Beauty Flavor from Lattice QCD
• The pseudoscalar meson electromagnetic form factor at high $Q^2$ from full lattice QCD
• Bound isoscalar axial-vector $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD using two-meson and diquark-antidiquark variational basis
• Excited and exotic bottomonium spectroscopy from lattice QCD
• A Pattern for the Flavor Dependence of the Quark-Gluon Interaction
• Correlating $B\to K^{(\ast )}\nu \bar{\nu }$ and flavor anomalies in SMEFT
• Comparison of two Minkowski-space approaches to heavy quarkonia
• Free-form smearing for bottomonium and B meson spectroscopy
• Determination of the quark condensate from heavy-light current-current correlators in full lattice QCD
• Analytic approach to calculations of mass spectra and decay constants of heavy-light quarkonia in the framework of Bethe-Salpeter equation
• Heavy-light mesons beyond ladder approximation
• Bottomonium precision tests from full lattice QCD: hyperfine splitting, ${\rm Y}$ leptonic width and $b$ quark contribution to $e^{+}{e}^{-}\to$ hadrons
• Lepton Flavor Universality tests through angular observables of $\overline{B}\to D^{(\ast )}\ell \overline{\nu }$ decay modes
• Heavy + heavy and heavy + light pseudoscalar to vector semileptonic transitions
• Two-photon transitions of charmonia on the light front
• Semileptonic $B_c\to {\eta }_c,J/\psi$ transitions
• Renormalisation of the tensor current in lattice QCD and the $J/\psi$ tensor decay constant
• B -> D(*) Tau Nu decays in two-Higgs-doublet models
• The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons
• Prospects for $B_c^{+}$ and $B^{+}\to {\tau }^{+}{\nu }_{\tau }$ at FCC-ee
• An approach to calculation of mass spectra and two-photon decays of $c\overline{c}$ mesons in the framework of Bethe-Salpeter Equation
• Radiative Leptonic $B_c\to \gamma \ell \bar{\nu }$ Decay in Effective Field Theory beyond Leading Order
• Heavy+light pseudoscalar meson semileptonic transitions
• Transverse momentum distributions of valence quark in light and heavy vector mesons
• Hyperfine splitting and the experimental candidates for η_b(2S)
• Bottomonium spectroscopy motivated by general features of pNRQCD
• Stealth QCD-like Strong Interactions and the t-tbar Asymmetry
• Observation of the $B_s^0\to J/\psi \varphi \varphi$ decay
• Hadronic molecules with four charm or beauty quarks
• Holographic QCD model for $N_f=4$
• Measurement of the relative $B_c^{\pm }/B^{\pm }$ production cross section with the ATLAS detector at $\sqrt{s}=8$ TeV
• Bethe-Salpeter equation at leading order in Coulomb gauge
• The Decay constants of $B_c(nS)$ and $B_c^{\ast }(nS)$
• Seeking the CP-odd Higgs via $h\to {\eta }_{c,b}{\ell }^{+}{\ell }^{-}$
• Highly excited $B$, $B_s$ and $B_c$ meson spectroscopy from lattice QCD
• Analyzing the semileptonic and nonleptonic $B_c\to J/\psi ,{\eta }_c$ decays
• A novel determination of the $B_c$ lifetime
• Spectroscopy of excited quarkonium states in the light-front quark model
• First estimates of the $B_c$ wave function from the data on the $B_c$ production cross section
• Study of the ${\rm Y}(1S)$ $\to$ $B_c{D}_s^{\ast }$ decay with pQCD approach
• Quark flavor physics and lattice QCD
• $B_c$ decays from highly improved staggered quarks and NRQCD
• Precise study of triply charmed baryons ${\Omega }_{ccc}$
• Correlated study on some $B_c\to P$ and $B_c\to S$ wave channels in light of new inputs
• Charm sea effects on charmonium decay constants and heavy meson masses
• Heavy-meson chiral Lagrangians, effective flavored couplings, SU(4) flavor breaking and their consequences
• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
• Quark Flavor Physics Review
• Improving the Kinetic Couplings in Lattice Non-Relativistic QCD
• Matching heavy-light currents with NRQCD and HISQ quarks
• Prospects for $B_c^{+}\to {\tau }^{+}{\nu }_{\tau }$ at FCC-ee
• Confinement of Fermions in Tachyon Matter at Finite Temperature
• The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics
• Spin splitting spectroscopy of heavy quark anti quark systems
• Mass spectra of heavy mesons with instanton effects
• Ground state pseudoscalar mesons on the light front: from the light to heavy sector
• Study of Form Factors and Observables in $B_c^{-}\to {\bar{D}}^{(\ast )0}{\ell }^{-}{\bar{\nu }}_{\ell }$ and $B_c^{-}\to D^{(\ast )-}{\ell }^{+}{\ell }^{-}$ decays
• Prospects for observing the ${\eta }_t$ $\to$ $W^{+}{W}^{-}$ decay at the HL-LHC
• Lepton flavor violating meson decays
• Recent results from Lattice QCD
• Flavor Dependent Effects on Rare Weak Decays of $B_c^{\ast }$ and $B_s^{\ast }$ Mesons