Scaling of the B and D meson spectrum in lattice QCD

Abstract

We give results for the $B$ and the $D$ meson spectrum using NRQCD on the lattice in the quenched approximation. The masses of radially and orbitally excited states are calculated as well as $S$-wave hyperfine and $P$-wave fine structure. Radially excited $P$-states are observed for the first time. Radial and orbital excitation energies match well to experiment, as does the strange-non-strange $S$-wave splitting. We compare the light and heavy quark mass dependence of various splittings to experiment. Our $B$-results cover a range in lattice spacings of more than a factor of two. Our $D$-results are from a single lattice spacing and we compare them to numbers in the literature from finer lattices using other methods. We see no significant dependence of physical results on the lattice spacing. PACS: 11.15.Ha 12.38.Gc 14.40.Lb 14.40.Nd

arXiv comment78 pages, 29 tables, 30 figures Revised version. Minor corrections to spelling and wording

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• Relativistic Symmetry Suppresses Quark Spin-Orbit Splitting
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Charmed and Bottom Baryons from Lattice NRQCD
• Comment on the new $D_s^{(\ast )+}{\pi }^0$ resonances
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• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• The DsJ(2317): what can the Lattice say?
• The spectrum of D_s mesons from lattice QCD
• QCD string in light-light and heavy-light mesons
• Molecular components in P-wave charmed-strange mesons
• D and D_s meson spectroscopy
• Heavy-light mesons with staggered light quarks
• Open-charm meson spectroscopy
• Excited B mesons from the lattice
• S and P-wave heavy-light mesons in lattice NRQCD
• Contribution of constituent quark model $c\bar{s}$ states to the dynamics of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ resonances
• Even- and Odd-Parity Charmed Meson Masses in Heavy Hadron Chiral Perturbation Theory
• B meson decay constant from two-flavor lattice QCD with non-relativistic heavy quarks
• Excitations of single-beauty hadrons
• Heavy-Quark Symmetry and the Electromagnetic Decays of Excited Charmed Strange Mesons
• Chiral loop corrections to strong decays of positive and negative parity charmed mesons
• Semileptonic form factors D to pi, K and B to pi, K from a fine lattice
• The Mass of the b Quark
• Regge Trajectories Analysis to DsJ(2317), DsJ(2460) and DsJ(2632) Mesons
• Charm as a domain wall fermion in quenched lattice QCD
• Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson
• An estimate of the flavour singlet contributions to the hyperfine splitting in charmonium
• A multiquark description of the $D_{sJ}(2860)$ and $D_{sJ}(2700)$
• Lattice calculations of hadron properties
• Scaling and Further Tests of Heavy Meson Decay Constant Determinations from Nonrelativistic QCD
• Measurement of the Mass Difference m(D_s^+) - m(D^+) at CDF II
• Lowest lying even-parity ${\bar{B}}_s$ mesons: heavy quark spin-flavor symmetry, chiral dynamics, and constituent quark model bare masses
• Magnetic string contribution to hadron dynamics in QCD
• Light quark mass dependence of the $D$ and $D_s$ decay constants
• D and D_s in mass loaded flux tube
• Implications to $c\bar{s}$ assignments of $D_{s1}(2700{)}^{\pm }$ and $D_{sJ}(2860)$
• Form Factors for Semileptonic B -> pi and D -> pi Decays from the Omnes Representation
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices
• Chiral extrapolation of lattice data for the hyperfine splittings of heavy mesons
• Chiral Extrapolation of Lattice Data for Heavy Baryons
• Semileptonic B decays into even parity charmed mesons
• Dynamical mixing between $2^3{S}_1$ and $1^3{D}_1$ charmed mesons
• Heavy-light mesons with domain wall fermions
• Constrained fitting of three-point functions
• Chiral Extrapolation of Lattice Data for Heavy Meson Hyperfine Splittings
• Exploratory study of the D_s spectrum in 2+1 Domain Wall QCD with heavy overlap
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond
• Understanding open-charm mesons