Semileptonic decays of heavy mesons with artificial neural networks

Abstract

Experimental checks of the second row unitarity of the Cabibbo-Kobayashi-Maskawa (CKM) matrix involve extractions of the matrix element $V_{cd}$, which may be obtained from semileptonic decay rates of $D$ to $\pi$. These decay rates are proportional to hadronic form factors which parameterize how the quark $c\to d$ transition is realized in $D\to \pi$ meson decays. The form factors can not yet be analytically computed over the whole range of available momentum transfer $q^2$, but can be parameterized with a varying degree of model dependency. We propose using artificial neural networks trained from experimental pseudo-data to predict the shape of these form factors with a prescribed uncertainty. We comment on the parameters of several commonly-used model parameterizations of semileptonic form factors. We extract shape parameters and use unitarity to bound the form factor at a given $q^2$, which then allows us to bound the CKM matrix element $|V_{cd}|$.

arXiv comment18 pages, 3 figures, 4 tables. Normalization of the input data corrected, clarifications added, misprints corrected. Results changed

References in corpus (26)

• Parton distributions for the LHC Run II
• Machine learning and the physical sciences
• FLAG Review 2019
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• Constraints on Form Factors For Exclusive Semileptonic Heavy to Light Meson Decays
• Comment on the heavy-->light form factors
• Neural Network Parametrization of Deep-Inelastic Structure Functions
• Comment on form factor shape and extraction of |V_ub| from B --> pi l nu
• Gluon Condensates and m_{c,b} from QCD-Moments and their ratios to Order alpha_s^3 and <G^4>
• Charm Meson Decays
• Semileptonic charm decays $D\to \pi l{\nu }_{ł}$ and $D\to Kl{\nu }_l$ from QCD Light-Cone Sum Rules
• Direct CP asymmetry in $D\to {\pi }^{-}{\pi }^{+}$ and $D\to K^{-}{K}^{+}$ in QCD-based approach
• Semileptonic decays of $D$ and $D_s$ mesons in the relativistic quark model
• Heavy-light current correlators at order ${\alpha }_s^2$ in QCD and HQET
• Measurement of the Branching Fraction For the Semi-Leptonic Decays $D^{0(+)}\to {\pi }^{-(0)}{\mu }^{+}{\nu }_{\mu }$ and Test of Lepton Flavor Universality
• The BESIII Physics Programme
• Study of the $D^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ dynamics and test of lepton flavor universality with $D^0\to K^{-}{\ell }^{+}{\nu }_{\ell }$ decays
• Extraction of $|V_{cd}|$ and $|V_{cs}|$ from experimental decay rates using lattice QCD $D\to \pi (K)\ell \nu$ form factors
• Nucleon axial form factor from a Bayesian neural-network analysis of neutrino-scattering data
• Reevaluating Uncertainties in $\bar{B}\to X_s\gamma$ Decay
• Parametrisations of the D -> K l nu form factor and the determination of \hat{g}
• Neural Network Parameterizations of Electromagnetic Nucleon Form Factors
• Implications of unitarity and analyticity for the Dπform factors
• Above-Threshold Poles in Model-Independent Form Factor Parametrizations
• The neural network approach to parton distribution functions
• Constraints on B--->pi,K transition form factors from exclusive semileptonic D-meson decays