O(1/M^3) effects for heavy-light mesons in lattice NRQCD

Abstract

The masses of spin-singlet and spin-triplet S-wave mesons containing a single heavy quark are computed in the quenched approximation. The light quark action and gauge field action are both classically-improved and tadpole-improved, and the couplings to the heavy quark are organized by the 1/M expansion of tadpole-improved NRQCD. At each of two lattice spacings, near 0.22fm and 0.26fm, meson masses are obtained for heavy quarks spanning the region between charmed and bottom mesons. Results up to O(1/M), O(1/M^2) and O(1/M^3) are displayed separately, so that the convergence of the heavy quark expansion can be discussed. Also, the effect of each term in the O(1/M^3) contribution is computed individually. For bottom mesons the 1/M-expansion appears to be satisfactory, but the situation for charmed mesons is less clear.

arXiv comment23 pages including 12 figures, substantial revision

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• Heavy-light Mesons and Baryons with b quarks
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• S and P-wave heavy-light mesons in lattice NRQCD
• Exotic Tetraquark states with two $\bar{b}$-quarks and $J^P=0^{+}$ and $1^{+}$ $B_s$ states in a nonperturbatively-tuned Lattice NRQCD setup
• Sea quark effects in B Spectroscopy and Decay Constants
• Status of Heavy Quark Physics on the Lattice
• Measurement of the Mass Difference m(D_s^+) - m(D^+) at CDF II
• Hyperfine effects in charmed baryons
• Unquenched Charmonium with NRQCD
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices
• P-wave heavy-light mesons using NRQCD and D234
• S-wave charmed mesons in lattice NRQCD
• Charmed baryons from lattice QCD