Rare $B\to \pi l\bar{l}$ and $B\to \rho l\bar{l}$ decays in the relativistic quark model

Abstract

The branching fractions of the rare weak $B\to \pi l^{+}{l}^{-}(\nu \bar{\nu })$ and $B\to \rho l^{+}{l}^{-}(\nu \bar{\nu })$ decays are calculated in the framework of the relativistic quark model based on the quasipotential approach. The form factors parametrizing weak decay matrix elements are explicitly determined in the whole kinematical $q^2$ range without additional assumptions and extrapolations. Relativistic effects are systematically taken into account including recoil effects in meson wave functions and contributions of the intermediate negative-energy states. New experimental data on the differential distributions in the semileptonic heavy-to-light $B\to \pi l{\nu }_l$ and $B\to \rho l{\nu }_l$ decays are analyzed in detail. Good agreement of the predictions and data is found. The obtained results for the branching fractions of the rare semileptonic decays are found to be in agreement with other theoretical estimates and recent experimental data available for the $B^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decay.

15 pages, 9 figures, minor addition, references added

References in corpus (10)

• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Study of Exclusive B->X_u l nu Decays and Extraction of |V_{ub}| using Full Reconstruction Tagging at the Belle Experiment
• Branching fraction and form-factor shape measurements of exclusive charmless semileptonic B decays, and determination of |V_{ub}|
• Relativistic treatment of the decay constants of light and heavy mesons
• Heavy-to-light form factors on the light cone
• New analysis of semileptonic B decays in the relativistic quark model
• First observation of the decay $B^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$
• The rare decays $B_u^{+}\to {\pi }^{+}{\ell }^{+}{\ell }^{-}$, ${\rho }^{+}{\ell }^{+}{\ell }^{-}$ and $B_d^0\to {\ell }^{+}{\ell }^{-}$ in the R-parity violating supersymmetry
• Rare $B_s$ decays in the relativistic quark model

Cited by in corpus (13)

• On the impact of power corrections in the prediction of B->K*mu+mu- observables
• Semileptonic decays of ${\Lambda }_b$ baryons in the relativistic quark model
• $B\to \pi \ell \ell$ form factors for new-physics searches from lattice QCD
• Study Majorana Neutrino Contribution to B-meson Semi-leptonic Rare Decays
• A comprehensive study on the semileptonic decay of heavy flavor mesons
• Rare ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ and ${\Lambda }_b\to \Lambda \gamma$ decays in the relativistic quark model
• Relativistic description of the ${\Xi }_b$ baryon semileptonic decays
• Semileptonic and leptonic $B$ decays, circa 2016
• Study of semileptonic decays $B\to \pi l^{+}{l}^{-}$ and $B\to \rho l^{+}{l}^{-}$ in non-universal Z' model
• Rare ${\Lambda }_b\to n{l}^{+}{l}^{-}$ decays in the relativistic quark-diquark picture
• Predictions of Angular Observables for ${\bar{B}}_s\to K^{\ast }\ell \ell$ and $\bar{B}\to \rho \ell \ell$ in Standard Model
• Weak transition form factors of heavy-light pseudoscalar mesons for space- and timelike momentum transfers
• Branching Fraction of the Decay $B^{+}\to {\pi }^{+}{\tau }^{+}{\tau }^{-}$ and Lepton Flavor Universality Test via the Ratio $R_{\pi }(\tau /\mu )$