  We combine our new results for the O(alpha_em) and O(alpha_s^2) corrections
to B_{s,d} -> l^+ l^-, and present updated branching ratio predictions for
these decays in the standard model. Inclusion of the new corrections removes
major theoretical uncertainties of perturbative origin that have just begun to
dominate over the parametric ones. For the recently observed muonic decay of
the B_s meson, our calculation gives BR(B_s -> mu^+ mu^-) = (3.65 +_ 0.23) *
10^(-9).
