We extend the picture of B-meson decay constants obtained in lattice QCD
beyond those of the B, Bs and Bc to give the first full lattice QCD
results for the B∗, Bs∗ and Bc∗. We use improved NonRelativistic QCD
for the valence b quark and the Highly Improved Staggered Quark (HISQ) action
for the lighter quarks on gluon field configurations that include the effect of
u/d, s and c quarks in the sea with u/d quark masses going down to
physical values. For the ratio of vector to pseudoscalar decay constants, we
find fB∗/fB = 0.941(26), fBs∗/fBs = 0.953(23) (both 2σ
less than 1.0) and fBc∗/fBc = 0.988(27). Taking correlated
uncertainties into account we see clear indications that the ratio increases as
the mass of the lighter quark increases. We compare our results to those using
the HISQ formalism for all quarks and find good agreement both on decay
constant values when the heaviest quark is a b and on the dependence on the
mass of the heaviest quark in the region of the b. Finally, we give an
overview plot of decay constants for gold-plated mesons, the most complete
picture of these hadronic parameters to date.Comment: 20 pages, 9 figures. Minor updates to the discussion in several
places and some additional reference