Semileptonic and radiative decays of the B_c meson in light-front quark model

Abstract

We investigate the exclusive semileptonic $B_c\to (D,{\eta }_c,B,B_s)\ell {\nu }_{\ell }$, ${\eta }_b\to B_c\ell {\nu }_{\ell }$($\ell =e,\mu ,\tau$) decays using the light-front quark model constrained by the variational principle for the QCD motivated effective Hamiltonian. The form factors $f_{+}(q^2)$ and $f_{-}(q^2)$ are obtained from the analytic continuation method in the $q^{+}=0$ frame. While the form factor $f_{+}(q^2)$ is free from the zero-mode, the form factor $f_{-}(q^2)$ is not free from the zero-mode in the $q^{+}=0$ frame. We quantify the zero-mode contributions to $f_{-}(q^2)$ for various semileptonic $B_c$ decays. Using our effective method to relate the non-wave function vertex to the light-front valence wave function, we incorporate the zero-mode contribution as a convolution of zero-mode operator with the initial and final state wave functions. Our results are then compared to the available experimental data and the results from other theoretical approaches. Since the prediction on the magnetic dipole $B_c^{\ast }\to B_c+\gamma$ decay turns out to be very sensitive to the mass difference between $B_c^{\ast }$ and $B_c$ mesons, the decay width $\Gamma (B_c^{\ast }\to B_c\gamma )$ may help in determining the mass of $B_c^{\ast }$ experimentally. Furthermore, we compare the results from the harmonic oscillator potential and the linear potential and identify the decay processes that are sensitive to the choice of confining potential. From the future experimental data on these sensitive processes, one may obtain more realistic information on the potential between quark and antiquark in the heavy meson system.

20 pages, 12figures; extensively revised the version including discussion of the light-front zero-mode contribution to the weak form factor

References in corpus (6)

• Exclusive semileptonic and nonleptonic decays of the Bc meson
• Study of exclusive semileptonic and nonleptonic decays of $B_c^{-}$ in a nonrelativistic quark model
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Semileptonic $B_c$ decays and Charmonium distribution amplitude
• Space- and time-like form factors for $\omega \to \pi {\gamma }^{\ast }$ and $K^{\ast }\to K{\gamma }^{\ast }$ in light-front quark model

Cited by in corpus (25)

• Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Mixing effects on 1S and 2S state heavy mesons in the light-front quark model
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
• Light-front quark model analysis of the exclusive rare $B_c\to D_{(s)}({\ell }^{+}{\ell }^{-},{\nu }_{\ell }{\bar{\nu }}_{\ell })$ decays
• Light-front zero-mode contribution to the tensor form factors for the exclusive rare $P\to V{\ell }^{+}{\ell }^{-}$ decays
• Self-consistent light-front quark model analysis of $B\to D\ell {\nu }_{\ell }$ transition form factors
• Form factors of $P\to T$ transition within the light-front quark models
• Role of $B_c^{+}\to B_{s,d}^{(\ast )}\bar{\ell }{\nu }_{\ell }$ in the Standard Model and in the search for BSM signals
• In-medium properties of the light and heavy-light mesons in a light-front quark model
• Magnetic Dipole Transitions of $B_c$ and $B_c^{\ast }$ mesons in the Relativistic Independent Quark Model
• Light-front dynamic analysis of transition form factors in the process of $P\to V\ell {\nu }_{\ell }$
• Purely leptonic decays of the ground charged vector mesons
• Self-consistent $M1$ radiative transitions of excited $B_c$ and heavy quarkonia with different polarizations in the light-front quark model
• Heavy quarkonium 2S states in light-front quark model
• The doubly virtual $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factors in the light-front quark model
• The magnetic dipole transitions in the $(c\bar{b})$ binding system
• The $B_c$-decays $B_c^{+}\to J/\psi {\pi }^{+}{\pi }^{-}{\pi }^{+}$, ${\eta }_c{\pi }^{+}{\pi }^{-}{\pi }^{+}$
• Spectroscopy of excited quarkonium states in the light-front quark model
• $B_c^{\ast }$ meson parameters and radiative decay width within the covariant confined quark model
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• Twist-3 Distribution Amplitudes of Pion in the Light-Front Quark Model
• The Properties of Radially Excited Charmonia in The Light Front Quark Model
• Self-consistent covariant description of twist-3 distribution amplitude of a pseudoscalar meson in the light-front quark model