  In this write-up we review and update our recent lattice QCD calculation of
$B \to K^*$, $B_s \to \phi$, and $B_s \to K^*$ form factors [arXiv:1310.3722].
These unquenched calculations, performed in the low-recoil kinematic regime,
provide a significant improvement over the use of extrapolated light cone sum
rule results. The fits presented here include further kinematic constraints and
estimates of additional correlations between the different form factor shape
parameters. We use these form factors along with Standard Model determinations
of Wilson coefficients to give Standard Model predictions for several
observables [arXiv:1310.3887]. The modest improvements to the form factor fits
lead to improved determinations of $F_L$, the fraction of longitudinally
polarized vector mesons, but have little effect on most other observables.
