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We present results of a lattice QCD calculation of $B\to D^*$ and $B_s\toD_s^*$ axial vector matrix elements with both states at rest. These zero recoilmatrix elements provide the normalization necessary to infer a value for theCKM matrix element $|V_{cb}|$ from experimental measurements of $\bar{B}^0\toD^{*+}\ell^-\bar{\nu}$ and $\bar{B}^0_s\to D_s^{*+}\ell^-\bar{\nu}$ decay.Results are derived from correlation functions computed with highly improvedstaggered quarks (HISQ) for light, strange, and charm quark propagators, andnonrelativistic QCD for the bottom quark propagator. The calculation ofcorrelation functions employs MILC Collaboration ensembles over a range ofthree lattice spacings. These gauge field configurations include sea quarkeffects of charm, strange, and equal-mass up and down quarks. We use ensembleswith physically light up and down quarks, as well as heavier values. Our mainresults are $\mathcal{F}^{B\to D^*}(1)= 0.895\pm0.010_{\mathrm{stat}}\pm{{0.024}_{\mathrm{sys}}}$ and $\mathcal{F}^{B_s\toD_s^*}(1)= 0.883\pm 0.010_{\mathrm{stat}}\pm{0.028_{\mathrm{sys}}}$. We discussthe consequences for $|V_{cb}|$ in light of recent investigations into theextrapolation of experimental data to zero recoil.

Lattice QCD calculation of the ${{B}_{(s)}\to D_{(s)}^{*}\ell{\nu}}$ form factors at zero recoil and implications for ${|V_{cb}|}$