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We present improved results for the B and D meson spectrum from lattice QCDincluding the effect of u/d,s and c quarks in the sea. For the B mesons theHighly Improved Staggered Quark action is used for the sea and light valencequarks and NonRelativistic QCD for the b quark including O(\alpha_s) radiativecorrections to many of the Wilson coefficients for the first time. The D mesonsuse the Highly Improved Staggered Quark action for both valence quarks on thesame sea. We find M_{B_s}-M_B=84(2) MeV, M_{B_s}=5.366(8) GeV, M_{B_c}=6.278(9)GeV, M_{D_s}=1.9697(33) GeV, and M_{D_s}-M_{D}=101(3) MeV. Our results for theB meson hyperfine splittings are M_{B^*}-M_{B}=50(3) MeV,M_{B_s^*}-M_{B_s}=52(3) MeV, in good agreement with existing experimentalresults. This demonstrates that our perturbative improvement of the NRQCDchromo-magnetic coupling works for both heavyonium and heavy-light mesons. Wepredict M_{B_c^*}-M_{B_c}=54(3) MeV. We also present first results for theradially excited B_c states as well as the orbitally excited scalar B_c0^* andaxial vector B_c1 mesons.

Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea