Precise B, B_s and B_c meson spectroscopy from full lattice QCD

Abstract

We give the first accurate results for $B$ and $B_s$ meson masses from lattice QCD including the effect of $u$, $d$ and $s$ sea quarks, and we improve an earlier value for the $B_c$ meson mass. By using the Highly Improved Staggered Quark action for $u/d$, $s$ and $c$ quarks and NRQCD for the $b$ quarks, we are able to achieve an accuracy in the masses of around 10 MeV. Our results are: $m_B$ = 5.291(18) GeV, $m_{B_s}$ = 5.363(11) GeV and $m_{B_c}$ = 6.280(10) GeV. Note that all QCD parameters here are tuned from other calculations, so these are parameter free tests of QCD against experiment. We also give scalar, $B_{s0}^{\ast }$, and axial vector, $B_{s1}$, meson masses. We find these to be slightly below threshold for decay to $BK$ and $B^{\ast }K$ respectively.

22 pages, 19 figures

References in corpus (29)

• Observation of a Narrow Meson Decaying to Ds+pi0 at a Mass of 2.32 GeV/c^2
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Observation of a Narrow Resonance of Mass 2.46 GeV/c^2 Decaying to D_s^*+ pi^0 and Confirmation of the D_sJ^* (2317) State
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Variants of fattening and flavor symmetry restoration
• Constrained Curve Fitting
• Observation of the DsJ(2317) and DsJ(2457) in B decays
• Flavor-Symmetry Restoration and Symanzik Improvement for Staggered Quarks
• The Upsilon spectrum and m_b from full lattice QCD
• Scaling studies of QCD with the dynamical HISQ action
• Neutral B Meson Mixing in Unquenched Lattice QCD
• Testing improved actions for dynamical Kogut-Susskind quarks
• Observation of the bottomonium ground state in the decay Upsilon(3S) -> gamma eta_b
• Precision Upsilon Spectroscopy from Nonrelativistic Lattice QCD
• Precise determination of the lattice spacing in full lattice QCD
• Mass of the B_c Meson in Three-Flavor Lattice QCD
• J/psi and psi(2S) Radiative Transitions to eta_c
• Quarkonium mass splittings in three-flavor lattice QCD
• Heavy-light mesons with staggered light quarks
• A Prediction of the B*_c mass in full lattice QCD
• Radiative Corrections to the Kinetic Couplings in Nonrelativistic Lattice QCD
• Excitations of single-beauty hadrons
• The continuum limit of the static-light meson spectrum
• Unquenching effects on the coefficients of the Lüscher-Weisz action
• Energies of B_s meson excited states - a lattice study
• Radial and orbital excitations of static-light mesons

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• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• B-meson decay constants: a more complete picture from full lattice QCD
• The B and B_s Meson Decay Constants from Lattice QCD
• Precise Calculation of the Dilepton Invariant-Mass Spectrum and the Decay Rate in $B^{\pm }\to {\pi }^{\pm }{\mu }^{+}{\mu }^{-}$ in the SM
• Rare decay B -> K ll form factors from lattice QCD
• Predicting positive parity $B_s$ mesons from lattice QCD
• $B_s\to K\ell \nu$ form factors from lattice QCD
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD
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• Twenty-first Century Lattice Gauge Theory: Results from the QCD Lagrangian
• Measurement of b-hadron masses
• Prediction of the $D_s^{\ast }$ width from a calculation of its radiative decay in full lattice QCD
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• Heavy-Light Mesons on the Light Front
• Analysis of the vector and axialvector $B_c$ mesons with QCD sum rules
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• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
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• $B\to \pi \ell \nu$ at zero recoil from lattice QCD with physical $u/d$ quarks
• $B_c\to B_{s(d)}$ form factors from lattice QCD
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• Masses of Scalar and Axial-Vector B Mesons Revisited
• The mass of the b-quark from lattice NRQCD and lattice perturbation theory
• Towards establishing an abundant $B$ and $B_s$ spectrum up to the second orbital excitations
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• Free-form smearing for bottomonium and B meson spectroscopy
• Nonperturbative comparison of clover and HISQ quarks in lattice QCD and the properties of the phi meson
• Mass spectra and decays of ground and orbitally excited $c\bar{b}$ states in non relativistic quark model
• Heavy baryon spectrum on lattice with NRQCD bottom and HISQ lighter quarks
• Lowest lying even-parity ${\bar{B}}_s$ mesons: heavy quark spin-flavor symmetry, chiral dynamics, and constituent quark model bare masses
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• NLO QCD corrections to $B_c$-pair production in photon-photon collision
• Observation of the $B_s^0\to J/\psi \varphi \varphi$ decay
• B-meson spectroscopy in HQET at order 1/m
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Highly excited $B$, $B_s$ and $B_c$ meson spectroscopy from lattice QCD
• Current Topics in Heavy Quarkonium Physics
• $B_{s1}(5778)$ as a $B^{\ast }\bar{K}$ molecule in the Bethe-Salpeter equation approach
• B and bottomonium spectroscopy from lattice NRQCD with charm in the sea
• $B$-meson semileptonic form factors on (2+1+1)-flavor HISQ ensembles
• Semileptonic $B_s\to D_{s2}^{\ast }(2573)\ell {\bar{\nu }}_{\ell }$ transition in QCD
• The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics