NNVub: a Neural Network Approach to $B\to X_u\ell \nu$

Abstract

We use artificial neural networks to parameterize the shape functions in inclusive semileptonic $B$ decays without charm. Our approach avoids the adoption of functional form models and allows for a straightforward implementation of all experimental and theoretical constraints on the shape functions. The results are used to extract $|V_{ub}|$ in the GGOU framework and compared with the original GGOU paper and the latest HFAG results, finding good agreement in both cases. The possible impact of future Belle-II data on the $M_X$ distribution is also discussed.

10 pages, 5 figures

References in corpus (7)

• Treating the b quark distribution function with reliable uncertainties
• Precision determination of the CKM element Vcb
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• Inclusive semileptonic B decays and the determination of |V_ub|
• Measurement of the $\bar{B}\to X_s\gamma$ Branching Fraction with a Sum of Exclusive Decays
• Extrapolation and unitarity bounds for the $B\to \pi$ form factor
• Inclusive Measure of |V_ub| with the Analytic Coupling Model

Cited by in corpus (11)

• 50 Years of Quantum Chromodynamics
• Challenges in Semileptonic B Decays
• Tension in the inclusive versus exclusive determinations of $|V_{cb}|$: a possible role of new physics
• Measurements of Partial Branching Fractions of Inclusive $B\to X_u{\ell }^{+}{\nu }_{\ell }$ Decays with Hadronic Tagging
• Semileptonic and leptonic $B$ decays, circa 2016
• 331 Models Facing the Tensions in $\Delta F=2$ Processes with the Impact on ${\epsilon }^{\prime }/\epsilon$, $B_s\to {\mu }^{+}{\mu }^{-}$ and $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$
• Perturbative corrections to power suppressed effects in $\bar{B}\to X_u\ell \nu$
• Measurement of Differential Branching Fractions of Inclusive $B\to X_u{\ell }^{+}{\nu }_{\ell }$ Decays
• Measurement of the Ratio of Partial Branching Fractions of Inclusive $\overline{B}\to X_u\ell \overline{\nu }$ to $\overline{B}\to X_c\ell \overline{\nu }$ and the Ratio of their Spectra with Hadronic Tagging
• Tensions in the flavour sector
• Recent progress in decays of $b$ and $c$ hadrons