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Unitarity constraints and the dispersive matrix

2024/03/30 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) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2404.00334

openalex publication_date 2024/03/30 · openalex created_date 2024/04/03 · openalex updated_date 2026/07/28

Abstract

We present updated estimates of \vert Vcb \vert and R(D(*)) based on all the available theoretical and experimental data on semileptonic B → D(*) ℓ ν_ℓ decays. These values have been obtained by using the Dispersive Matrix method to describe the hadronic form factors. By analysing all the lattice data we get the theoretical values R\rm th(D) = 0.296 ± 0.008 and R\rm th(D^*) = 0.262 ± 0.009, which are consistent with the corresponding HFLAV averages at the ≃ 2.0 σ and the ≃ 1.5 σ level, respectively. Moreover, from a bin-per-bin study of the experimental data we obtain the values \vert Vcb \vert = (41.0 ± 1.2) ⋅10-3 from B → D decay and \vert Vcb \vert = (39.92 ± 0.64) ⋅10-3 from B → D^* one, whose differences with the latest inclusive determinations never exceed the ≃ 2.5 σ level.

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