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We present a study of the $D$ and $B$ leptonic decay constants on the MILC$N_f=2+1$ asqtad gauge ensembles using asqtad-improved staggered light quarksand clover heavy quarks in the Fermilab interpretation. Our previous analysis\cite{Bazavov:2011aa} computed the decay constants at lattice spacings $a\approx 0.14, 0.11$ and $0.083$ fm. We have extended the simulations to finer$a \approx 0.058$ and $0.043$ fm lattice spacings, and have also increasedstatistics; this allows us to address many important sources of uncertainty.Technical advances include a two-step two-point fit procedure, better tuning ofthe heavy quark masses and a better determination of the axial-vector currentmatching. The present analysis remains blinded, so here we focus on theimprovements and their predicted impact on the error budget compared to theprior analysis.

The $D_s$, $D^+$, $B_s$ and $B$ decay constants from $2+1$ flavor lattice QCD