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We calculate the masses of bottom mesons using an improved relativisticaction for the b-quarks and the RBC/UKQCD Iwasaki gauge configurations with 2+1flavors of dynamical domain-wall light quarks. We analyze configurations withtwo lattice spacings: a^{-1} = 1.729 GeV (a ~ 0.11 fm) and a^{-1} = 2.281 GeV(a ~ 0.086 fm). We use an anisotropic, clover-improved Wilson action for theb-quark, and tune the three parameters of the action nonperturbatively suchthat they reproduce the experimental values of the B_s and B_s* heavy-lightmeson states. The masses and mass-splittings of the low-lying bottomoniumstates (such as the eta_b and Upsilon) can then be computed with no additionalinputs, and comparison between these predictions and experiment provides a testof the validity of our method. We obtain bottomonium masses with totaluncertainties of ~0.5-0.6% and fine-structure splittings with uncertainties of~35-45%; for all cases we find good agreement with experiment. The parametersof the relativistic heavy-quark action tuned for b-quarks presented in thiswork can be used for precise calculations of weak matrix elements such asB-meson decay constants and mixing parameters with lattice discretizationerrors that are of the same size as in light pseudoscalar meson quantities.This general method can also be used for charmed meson masses and matrixelements if the parameters of the heavy-quark action are appropriately tuned.

Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy