Exclusive semileptonic $B$ decays to the ground and excited states of light mesons

Abstract

Exclusive semileptonic decays of $B$ mesons to the ground, radially and orbitally excited states of light mesons are investigated in the framework of the relativistic quark model based on the quasipotential approach. Such decays are very important for the determination of the Cabibbo-Kobayashi-Maskawa matrix element $|V_{ub}|$ and testing the nature of the excited light mesons. The mixing schemes for the isoscalar light mesons are considered. The possible assignment of the experimentally observed excited light mesons to the particular states is discussed. The form factors parameterizing weak decay matrix elements between the initial $B$ meson and final light mesons are calculated with the complete account of the relativistic effects, including contributions of the intermediate negative energy states and relativistic transformations of the meson wave functions from rest to the moving reference frame. As a result the transferred momentum squared, $q^2$, dependence of the form factors is explicitly determined in the whole accessible kinematical range. On the basis of the helicity formalism the decay branching fractions and asymmetry and polarization parameters are calculated. The obtained results for the semileptonic $B$ decays to the ground states of light mesons are confronted with available experimental data. On this basis the value of the $|V_{ub}|$ matrix element is determined. It is found in good agreement with the value extracted from inclusive decays. Predictions for the branching fractions of the semileptonic $B$ decays to radially ($2S$ and $3S$) and orbitally ($1P$ and $2P$) excited light mesons are given. Comparison with the previous calculations is performed. It is found that several decays to the excited light mesons have branching fractions of the order $10^{-4}$ and, thus, they can be measured at existing and future $B$ factories.

arXiv comment32 pages, 2 figures, version published in Physical Review D

References in corpus (36)

• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• Mass spectra and Regge trajectories of light mesons in the relativistic quark model
• Heavy-light meson spectroscopy and Regge trajectories in the relativistic quark model
• Weak decays of the B_c meson to charmonium and D mesons in the relativistic quark model
• B_l4 decays and the extraction of |V_ub|
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• $B\to S$ Transition Form Factors in the PQCD approach
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• B to tensor meson form factors in the perturbative QCD approach
• Revisiting Axial-Vector Meson Mixing
• Transition form factors of B decays into p-wave axial-vector mesons in the perturbative QCD approach
• Semileptonic decays of $D$ and $D_s$ mesons in the relativistic quark model
• Masses of light tetraquarks and scalar mesons in the relativistic quark model
• Omega-phi mixing in chiral perturbation theory
• Semileptonic and nonleptonic decays of B_c mesons to orbitally excited heavy mesons in the relativistic quark model
• Form Factors of $B_{u,d,s}$ Decays into P-Wave Axial-Vector Mesons in the Light-Cone Sum Rule Approach
• New analysis of semileptonic B decays in the relativistic quark model
• Properties of the tensor mesons $f_2(1270)$ and $f_2^{\prime }(1525)$
• Scalar mesons in weak semileptonic decays of $B_{(s)}$
• Revisiting Scalar Glueballs
• Exploring CP Violation and $\eta$-${\eta }^{\prime }$ Mixing with the $B_{s,d}^0\to J/\psi {\eta }^{(\prime )}$ Systems
• Semileptonic $B$ and $B_s$ decays involving scalar and axial-vector mesons
• Singlet-octet-glueball mixing of scalar mesons
• Scalar mesons and the fragmented glueball
• $\omega$-$\varphi$ mixing and weak annihilation in $D_s$ decays
• Quasi-two-body decays $B_{(s)}\to P{f}_2(1270)\to P\pi \pi$ in the perturbative QCD approach
• Relativistic description of the semileptonic decays of bottom mesons
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2023
• Some Results on Vector and Tensor Meson Mixing in a Generalized QCD-like Theory
• Analysis of the $B\to K_2^{\ast }(1430),a_2(1320),f_2(1270)$ form-factors with light-cone QCD sum rules
• Exclusive semileptonic and nonleptonic decays of B mesons to orbitally excited light mesons
• Glueball-meson molecules
• Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons
• Improved measurement of $\eta /{\eta }^{\prime }$ mixing in $B_{(s)}^0\to J/\psi {\eta }^{(\prime )}$ decays
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays