What we can learn from the angular differential rates (only) in semileptonic $B\to D^{\ast }\ell \hat{I}{½}_{\ell }$ decays

Abstract

We present a simple approach to the study of semileptonic $B\to D^{\ast }\ell \hat{I}{½}_{\ell }$ decays based on the angular distributions of the final state particles only. Our approach is model independent and never requires the knowledge of $|V_{cb}|$. By studying such distributions in the case of light leptons, a comparison between results from different data sets from the Belle and BelleII Collaborations and between data and Standard Model calculations is also given for several interesting quantities. A good consistency is observed between some of the experimental results and the theoretical predictions.

15 pages, 5 figures, 3 tables. Six references properly added. An Appendix is included to clarify the differences in the Belle23 and Belle23(Ji) data sets for the ratios. Version to appear in Physical Review D