| Autor: |
G. Martinelli, S. Simula, L. Vittorio |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
European Physical Journal C: Particles and Fields, Vol 82, Iss 12, Pp 1-9 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
1434-6052 |
| DOI: |
10.1140/epjc/s10052-022-11050-0 |
| Popis: |
Abstract In this work we apply the Dispersive Matrix (DM) method of Di Carlo et al. (Phys Rev D 104:054502, 2021) and Martinelli et al. (Phys Rev D 105:034503, 2022) to the lattice computations of the Form Factors (FFs) entering the semileptonic $$B \rightarrow D^* \ell \nu _\ell $$ B → D ∗ ℓ ν ℓ decays, recently produced by the FNAL/MILC Collaborations (Fermilab Lattice, MILC collaboration, Semileptonic form factors for $$B \rightarrow D^*\ell \nu $$ B → D ∗ ℓ ν at nonzero recoil from 2 + 1-flavor lattice QCD. arXiv:2105.14019 ) at small, but non-vanishing values of the recoil variable ( $$w-1$$ w - 1 ). Thanks to the DM method we obtain the FFs in the whole kinematical range accessible to the decay in a completely model-independent and non-perturbative way, implementing exactly both unitarity and kinematical constraints. Using our theoretical bands of the FFs we extract $$\vert V_{cb} \vert $$ | V cb | from the experimental data and compute the theoretical value of $$R(D^*)$$ R ( D ∗ ) . Our final result for $$\vert V_{cb} \vert $$ | V cb | reads $$\vert V_{cb} \vert = (41.3 \pm 1.7) \cdot 10^{-3}$$ | V cb | = ( 41.3 ± 1.7 ) · 10 - 3 , compatible with the most recent inclusive estimate at the $$0.5\sigma $$ 0.5 σ level. Moreover, we obtain the pure theoretical value $$R(D^*) = 0.275 \pm 0.008$$ R ( D ∗ ) = 0.275 ± 0.008 , which is compatible with the experimental world average at the $$\sim 1.3 \sigma $$ ∼ 1.3 σ level. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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