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Updates on the determination of \vert Vcb \vert, R(D*) and \vert Vub \vert/\vert Vcb \vert

2023/10/05 by G. Martinelli, Martinelli, G., Silvano Simula +3
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · #Electron Spin Resonance Studies #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Medical Imaging Techniques and Applications #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2310.03680

openalex publication_date 2023/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We present an updated determination of the values of \vert Vcb \vert, R(D^*) and \vert Vub \vert/\vert Vcb \vert based on the new data on semileptonic B → D^* ℓ ν_ℓ decays by the Belle and Belle-II Collaborations and on the recent theoretical progress in the calculation of the form factors relevant for semileptonic B → D^* ℓ ν_ℓ and Bs → K ℓ ν_ℓ decays. In particular we present results derived by applying either the Dispersive Matrix (DM) method of Refs. [1-6] or the more standard Boyd-Grinstein-Lebed (BGL) [7] approach to the most recent values of the form factors determined in lattice QCD. Using all the available lattice results for the form factors from the DM method we get the theoretical value R\rm th(D^*) = 0.262 ± 0.009 and we extract from a bin-per-bin analysis of the experimental data the value \vert Vcb \vert = (39.92 ± 0.64) ⋅10-3. Our result for R(D^*) is consistent with the latest experimental world average R\rm exp(D^*) = 0.284 ± 0.012 [8] at the ≃ 1.5 σ level. Our value for \vert Vcb \vert is compatible with the latest inclusive determinations \vert Vcb \vert\rm incl = (41.97 ± 0.48) ⋅ 10-3 [9] and \vert Vcb \vert\rm incl = (41.69± 0.63) ⋅ 10-3 [10] within ≃ 2.6 and ≃ 2.0 standard deviations, respectively. From a reappraisal of the calculations of \vert Vub \vert / \vert Vcb \vert, we also obtain \vert Vub \vert / \vert Vcb \vert = 0.087± 0.009 in good agreement with the result \vert Vub \vert / \vert Vcb \vert = 0.0844± 0.0056 from the latest FLAG review [11].

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