$\bar{B}\to D^{\ast }\mathrm{\ell }\bar{\nu }$ at non-zero recoil

We present preliminary results from our analysis of the form factors for the $\bar{B}\to D^{\ast }\mathrm{\ell }\bar{\nu }$ decay at non-zero recoil. Our analysis includes 15 MILC asqtad ensembles with $N_f=2+1$ flavors of sea quarks and lattice spacings ranging from $a\approx 0.15$ fm down to $0.045$ fm. The valence light quarks employ the asqtad action, whereas the heavy quarks are treated using the Fermilab action. We conclude with a discussion of future plans and phenomenological implications. When combined with experimental measurements of the decay rate, our calculation will enable a determination of the CKM matrix element $\mathrm{\mid }{V}_{cb}\mathrm{\mid }$.