{ "id": "2410.17974", "version": "v1", "published": "2024-10-23T15:38:02.000Z", "updated": "2024-10-23T15:38:02.000Z", "title": "Semileptonic $B \\to D^*$ decays from light to $τ$ leptons: the extraction of the form factor $F_2$ from data", "authors": [ "G. Martinelli", "S. Simula", "L. Vittorio" ], "comment": "25 pages, 11 figures, 5 tables", "categories": [ "hep-ph", "hep-ex", "hep-lat" ], "abstract": "We extend the Standard Model (SM) analysis of Ref. [1], which was limited to light leptons in the final state, to the semileptonic $B \\to D^* \\tau \\nu_\\tau$ decay. By using quantities that can be analised without the knowledge of $\\vert V_{cb}\\vert$, we derive important information about the helicity amplitudes and the hadronic form factors that can be compared with the predictions of lattice QCD calculations. In particular, there is a difficulty in reproducing simultaneously the experimental values of $R(D^*)$ and of other quantities relevant for the semitauonic decays within the SM. As a byproduct of our analysis, we also present a determination of $\\vert V_{cb}\\vert$ from the total decay rate.", "revisions": [ { "version": "v1", "updated": "2024-10-23T15:38:02.000Z" } ], "analyses": { "keywords": [ "semileptonic", "extraction", "hadronic form factors", "lattice qcd calculations", "total decay rate" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }