2022/11/21 by G. Martinelli, Martinelli, Guido, Manuel Naviglio +5
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.2211.11305
openalex publication_date 2022/11/21 · openalex created_date 2022/11/29 · openalex updated_date 2026/07/28
We present an application of the unitarity-based dispersion matrix (DM) approach to the extraction of the CKM matrix element |Vcb| from the experimental data on the exclusive semileptonic B(s) → D(s)(*) ℓ ν_ℓ decays. The DM method allows to achieve a non-perturbative, model-independent determination of the momentum dependence of the semileptonic form factors. Starting from lattice results available at large values of the 4-momentum transfer and implementing non-perturbative unitarity bound, the behaviour of the form factors in their whole kinematical range is obtained without introducing any explicit parameterization of their momentum dependence. We consider the four exclusive semileptonic B(s) → D(s)(*) ℓ ν_ℓ decays and extract |Vcb| from the experimental data for each transition. The average over the four channels is |Vcb| = (41.2 ± 0.8) ⋅ 10-3 , which is compatible with the latest inclusive determination at 1σ level. We address also the issue of Lepton Flavour Universality by computing pure theoretical estimates of the τ/ℓ ratios of the branching fractions for each channel, where ℓ is a light lepton. In the case of a light spectator quark we obtain R(D^*) = 0.275(8) and R(D) = 0.296(8), which are compatible with the corresponding experimental values within 1.3σ. In the case of a strange spectator quark we obtain R(Ds^*) =0.2497(60) and R(Ds) = 0.298(5). The different values for R(Ds^*) and R(D^*) may reflect SU(3)F symmetry breaking effects, which seem to be present in some of the lattice form factors, especially at large values of the recoil.