Exclusive semileptonic B-meson decays using lattice QCD and unitarity

¹ Physics Department, University of Rome “La Sapienza” and INFN, Sezione di Roma, Piazzale Aldo Moro 5, I-00185 Rome, Italy
² Physics Department, University of Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
³ INFN, Sezione di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy
⁴ INFN, Sezione di Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy
⁵ Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy

^* e-mail: guido.martinelli@roma1.infn.it
^** e-mail: manuel.naviglio@phd.unipi.it
^*** e-mail: silvano.simula@roma3.infn.it
^**** e-mail: ludovico.vittorio@sns.it

Published online: 17 November 2022

Abstract

We present the results of the application of the Dispersion Matrix approach to exclusive semileptonic B-meson decays. This method allows to determine the hadronic form factors in a non-perturbative and completely modelindependent way. Starting from lattice results available at large values of the momentum transfer, the behaviour of the form factors in their whole kinematical range is obtained without introducing any parameterization of their momentum dependence. We will focus on the determination of the Cabibbo-Kobayashi- Maskawa matrix elements |V_cb| and |V_ub| through the analysis of B_(s) → D_(s)^(*)lv and B_(s) → π(K)ℓν decays. New theoretical determinations of the Lepton Flavour Universality ratios relevant for these transitions will be also presented.