$|V_{cb}|$ from the $\bar{B}^0 \to D^{*+} \ell^- \bar{\nu}$ zero-recoil form factor using $2+1+1$ flavour HISQ and NRQCD

Abstract

We present the status of our ongoing calculation of the zero-recoil form factor for the semileptonic decay $\bar{B}^0\rightarrow D^{*+}l^-\bar{\nu}$ using lattice QCD with 2+1+1 flavours of highly improved staggered quarks in the sea (the MILC HISQ configurations) and using non-relativistic QCD for the bottom quark. We combine our result for $ F(1)$ with the latest HFAG average of $\eta_{EW} F(1)|V_{cb}|$ to get a preliminary value for $|V_{cb}|$.