# N=5, 6, 7, 8: Nested hypothesis tests and truncation dependence of |V$_{cb}$|

Bernlochner, Florian U.; Ligeti, Zoltan; Robinson, Dean J.

##### Abstract:
The determination of |Vcb| from exclusive semileptonic B→D∗ℓν decays is sensitive to the choice of form factor parametrization. Larger |Vcb| values are obtained by fitting the Boyd-Grinstein-Lebed (BGL) versus the Caprini-Lellouch-Neubert (CLN) parametrization to recent Belle measurements. For the BGL parametrization, published fits use different numbers of parameters. We propose a method based on nested hypothesis tests to determine the optimal number of BGL parameters to fit the data, and find that six parameters are optimal to fit the Belle tagged and unfolded measurement [1]. We further explore the differences between fits that use different numbers of parameters. The fits which yield |Vcb| values in better agreement with determinations from inclusive semileptonic decays tend to exhibit tensions with heavy quark symmetry expectations. These have to be resolved before the determinations of |Vcb| from exclusive and inclusive decays can be considered understood.

 Zugehörige Institution(en) am KIT Institut für Experimentelle Teilchenphysik (ETP) Publikationstyp Zeitschriftenaufsatz Publikationsjahr 2019 Sprache Englisch Identifikator ISSN: 2470-0010, 2470-0029 KITopen-ID: 1000097458 Erschienen in Physical review / D Band 100 Heft 1 Seiten Article: 013005 Bemerkung zur Veröffentlichung Gefördert durch SCOAP3 Vorab online veröffentlicht am 23.07.2019 Nachgewiesen in Web of ScienceScopusarXiv
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
KITopen Landing Page