Updates on the determination of , and

G Martinelli, S Simula, L Vittorio - arXiv preprint arXiv:2310.03680, 2023 - arxiv.org
G Martinelli, S Simula, L Vittorio
arXiv preprint arXiv:2310.03680, 2023•arxiv.org
We present an updated determination of the values of $\vert V_ {cb}\vert $, $ R (D^*) $ and
$\vert V_ {ub}\vert/\vert V_ {cb}\vert $ based on the new data on semileptonic $ B\to
D^*\ell\nu_\ell $ decays by the Belle Collaboration and on the recent theoretical progress in
the calculation of the form factors relevant for semileptonic $ B\to D^*\ell\nu_\ell $ and $
B_s\to K\ell\nu_\ell $ decays. In particular we present results derived by applying either the
Dispersive Matrix (DM) method of Refs.[1-6] or the more standard Boyd-Grinstein-Lebed …
We present an updated determination of the values of , and based on the new data on semileptonic decays by the Belle Collaboration and on the recent theoretical progress in the calculation of the form factors relevant for semileptonic and decays. In particular we present results derived by applying either the Dispersive Matrix (DM) method of Refs. [1-6] or the more standard Boyd-Grinstein-Lebed (BGL) [7] approach to the most recent values of the form factors determined in lattice QCD. Using all the available lattice results for the form factors from the DM method we get the theoretical value and we extract from a bin-per-bin analysis of the experimental data the value . Our result for is compatible with the latest experimental world average [8] at the level. Our value for is consistent with the latest inclusive determinations [9] and [10]} within and standard deviations, respectively. From a reappraisal of the calculations of , we also obtain in good agreement with the result from the latest FLAG review [11].
arxiv.org