Exclusive semileptonic $B$-meson decays using lattice QCD and unitarity

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 model-independent 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 $B_{(s)}\to D_{(s)}^{(\ast )}\ell \nu$ and $B_{(s)}\to \pi (K)\ell \nu$ decays. New theoretical determinations of the Lepton Flavour Universality ratios relevant for these transitions will be also presented.

8 pages, 5 figures, 2 tables; contribution to QCD@Work - International Workshop on QCD - Theory and Experiment, 27 - 30 June 2022, Lecce (Italy). arXiv admin note: substantial text overlap with arXiv:2205.13952

References in corpus (5)

• Study of B --> pi l nu and B --> rho l nu Decays and Determination of |V_ub|
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• Branching fraction and form-factor shape measurements of exclusive charmless semileptonic B decays, and determination of |V_{ub}|
• Three loop calculations and inclusive $V_{cb}$
• Statistical physics of nonlinear wave interaction