2022/11/14 by G. Martinelli, Martinelli, Guido, Silvano Simula +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2211.07236
openalex publication_date 2022/11/14 · openalex created_date 2022/11/23 · openalex updated_date 2026/07/28
In this contribution we analyse the heavy-to-light B decays through the Dispersive Matrix method, which can be applied to any semileptonic decays of hadrons once lattice QCD computations of the hadronic Form Factors and of the relevant susceptibilities are available. We will explicitly discuss the application of the Dispersive Matrix approach to both B → πℓ νℓ and Bs → K ℓ νℓ decays. As usual in our analysis strategy, only LQCD computations of the FFs at high values of the momentum transfer will be used to determine the shape of the FFs in the whole kinematical range without making any assumption on their momentum dependence. Then, the experimental data will be used only to obtain our final exclusive determinations of \vert Vub \vert. In this way, our calculation of the FFs allows to obtain pure theoretical estimates of several quantities of phenomenological interest, for instance the τ/μ ratio of the differential decay rates Rπ(K)τ/μ, which is an important tool for testing Lepton Flavour Universality. We will also present a summary of all the results obtained so far for semileptonic B decays within the Dispersive Matrix approach.