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We present recent progress in the lattice calculation of leptonic decayconstants for $B_{(s)}$ and $D_{(s)}$ mesons using the Oktay-Kronfeld (OK)action for charm and bottom valence quarks, whose masses are tunednon-perturbatively. The calculations are done on 6 HISQ ensembles generated bythe MILC collaboration with $N_f=2+1+1$ flavors. We also use the HISQ actionfor the light spectator quarks. Results are presented for the ratios$f_{B_s}/f_B$ and $f_{D_s}/f_D$, which reflect $SU(3)$ flavor symmetrybreaking, and are independent of the renormalization constants of the axialcurrents.

Leptonic decays of $B_{(s)}$ and $D_{(s)}$ using the OK action