  Recently we studied the B, Bs, D and Ds meson decay constants using various
treatments for the heavy quark. For B mesons, we determined fB, fBs, and fBs/fB
with NRQCD bottom quarks. We then combined the ratio fBs/fB and another very
precise determination from HPQCD for fBs using heavy HISQ quarks, and extracted
fB with 2% total errors. We also calculated fD, fDs, and fDs/fD using HISQ
charm quarks. Here we review our results and briefly discuss their implications
for the determination of the CKM matrix elements |Vcd| and |Vcs|.
