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Precise B , B s , and B c meson spectroscopy from full lattice QCD

2011; American Physical Society; Volume: 83; Issue: 1 Linguagem: Inglês

10.1103/physrevd.83.014506

1550-7998

Eric B. Gregory, C. T. H. Davies, I. D. Kendall, J. Koponen, Kit Yan Wong, E. Follana, Elvira Gámiz, G. Peter Lepage, Eike H. Müller, Heechang Na, J. Shigemitsu,

High-Energy Particle Collisions Research

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 (HISQ) 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: ${m}_{B}=5.291(18)\text{ }\text{ }\mathrm{GeV}$, ${m}_{{B}_{s}}=5.363(11)\text{ }\text{ }\mathrm{GeV}$, and ${m}_{{B}_{c}}=6.280(10)\text{ }\text{ }\mathrm{GeV}$. 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, ${B}_{s0}^{*}$ and axial-vector, ${B}_{s1}$ meson masses. We find these to be slightly below threshold for decay to $BK$ and ${B}^{*}K$, respectively.