PreciseB,Bs, andBcmeson 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 (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: $m_B=5.291(18)\mathrm{GeV}$, $m_{B_s}=5.363(11)\mathrm{GeV}$, and $m_{B_c}=6.280(10)\mathrm{GeV}$. 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. DOI: http://dx.doi.org/10.1103/PhysRevD.83.014506 © 2011 The American Physical Society