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

Abstract

$B$ anomalies play a prominent role in Beyond the Standard Model (BSM) physics searches. In particular, the long standing tension between the inclusive and the exclusive determinations of the CKM matrix element $|V_{cb}|$ and the current tensions in the $R(D)$--$R(D^{\ast })$ plane between theory and experiment have brought the $B\to D^{(\ast )}\ell \nu$ semileptonic processes to the spotlight. Existing lattice-QCD calculations of the $B\to D\ell \nu$ form factors at non-zero recoil are being complemented with very recent developments in the $B\to D^{\ast }\ell \nu$ channel. In this review I discuss recent progress in lattice calculations of $B\to D^{(\ast )}\ell \nu$, as well as the implications of these results for high precision determinations of $|V_{cb}|$ and the Lepton Flavor Universality (LFU) ratios $R(D^{(\ast )})$.

Comments: 19 pages, 18 figures. Proceedings of the 39th International Symposium on Lattice Field Theory (Lattice2022), 8-13 August, 2022, Bonn, Germany