Determination of $|V_{cb}|$ from $B\to D\ellν$ decays using 2019-2021 Belle II data

We present a determination of the magnitude of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $V_{cb}$ using $B\to D\ellν$ decays. The result is based on $e^+e^-\toΥ(4S)$ data recorded by the Belle II detector corresponding to 189.2/fb of integrated luminosity. The semileptonic decays $B^0\to D^-(\to K^+π^-π^-)\ell^+ν_\ell$ and $B^+\to\bar D^0(\to K^+π^-)\ell^+ν_\ell$ are reconstructed, where $\ell$ is either electron or a muon. The second $B$ meson in the $Υ(4S)$ event is not explicitly reconstructed. Using the diamond-frame method, we determine the $B$ meson four-momentum and thus the hadronic recoil. We extract the partial decay rates as functions of $w$ and perform a fit to the decay form-factor and the CKM parameter $|V_{cb}|$ using the BGL parameterization of the form factor and lattice QCD input from the FNAL/MILC and HPQCD collaborations. We obtain $η_{EW}|V_{cb}|=(38.53\pm 1.15)\times 10^{-3}$, where $η_{EW}$ is an electroweak correction, and the error accounts for theoretical and experimental sources of uncertainty.
20 pages, 4 figures