Form factors of $V^{\prime }\to V^{\prime \prime }$ transition within the light-front quark models

Abstract

In this paper, we calculate the matrix element and form factors of vector-to-vector ($V^{\prime }\to V^{\prime }$) transition within the standard light-front~(SLF) and covariant light-front~(CLF) quark models~(QMs), and investigate the self-consistency and Lorentz covariance of the CLF QM within two types of correspondences between the manifest covariant Bethe-Salpeter approach and the LF approach. The zero-mode and valence contributions to the form factors of $V^{\prime }\to V^{\prime }$ transition in the CLF QM and their relation to the SLF results are analyzed, and the main conclusions obtained via the decay constants of vector and axial-vector mesons and form factors of $P\to V$ transition in the previous works are confirmed again. Furthermore, we present our numerical predictions for the form factors of $c\to (q,s)$ ($q=u,d$) induced $D^{\ast }\to (K^{\ast },\rho )$, $D_s^{\ast }\to (\varphi ,K^{\ast })$, $J/\Psi \to (D_s^{\ast },D^{\ast })$, $B_c^{\ast }\to (B_s^{\ast },B^{\ast })$ transitions and $b\to (q,s,c)$ induced $B^{\ast }\to (D^{\ast },K^{\ast },\rho )$, $B_s^{\ast }\to (D_s^{\ast },\varphi ,K^{\ast })$, $B_c^{\ast }\to (J/\Psi ,D_s^{\ast },D^{\ast })$, ${\rm Y}(1S)\to (B_c^{\ast },B_s^{\ast },B^{\ast })$ transitions, which can be applied further to the relevant phenomenological studies of meson decays.

arXiv comment47pages, 6 figures, 10 tables. Revised version; Accepted for publication in JHEP

References in corpus (30)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• LHCb Detector Performance
• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Decay constants and form factors of s-wave and p-wave mesons in the covariant light-front quark model
• Weak Decays of Doubly Heavy Baryons: the $1/2\to 1/2$ case
• Weak Decays of Heavy Baryons in Light-Front Approach
• Branching fractions of semileptonic $D$ and $D_s$ decays from the covariant light-front quark model
• The transition form factors for semi-leptonic weak decays of $J/\psi$ in QCD sum rules
• Weak decays of doubly heavy baryons: the $1/2\to 3/2$ case
• New effective treatment of the light-front nonvalence contribution in timelike exclusive processes
• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Semileptonic $B$ and $B_s$ decays involving scalar and axial-vector mesons
• $B_c\to B_{sJ}$ form factors and $B_c$ decays into $B_{sJ}$ in covariant light-front approach
• Strong and radiative decays of heavy mesons in a covariant model
• Model independent investigation of the $R_{J/\psi ,{\eta }_c}$ and ratios of decay widths of semileptonic $B_c$ decays into a P-wave charmonium
• A Covariant Light-Front Model of Heavy Mesons within HQET
• Weak Decays of $J/\psi$ and ${\rm Y}(1S)$
• Light-front zero-mode contribution to the tensor form factors for the exclusive rare $P\to V{\ell }^{+}{\ell }^{-}$ decays
• Leading-twist light cone distribution amplitudes for p-wave heavy quarkonium states
• ${\Sigma }_b\to {\Sigma }_c^{\ast }$ weak decays in the light-front quark model with two schemes to deal with the polarization of diquark
• Exclusive rare $B_s\to (K,\eta ,{\eta }^{\prime }){\ell }^{+}{\ell }^{-}$ decays in the light-front quark model
• Light-front dynamic analysis of transition form factors in the process of $P\to V\ell {\nu }_{\ell }$
• Light-Front Approach for Pentaquark Strong Decays
• Electromagnetic properties of heavy mesons in heavy quark limit
• Semi-leptonic decays of $B^{\ast }$, $B_s^{\ast }$, and $B_c^{\ast }$ with the Bethe-Salpeter method
• Application of the light-front holographic wavefunction for heavy-light pseudoscalar meson in $B_{d,s}\to D_{d,s}P$ decays
• Study of $B_c$$\to$$J/\psi V$ and $B_c^{\ast }$$\to$${\eta }_{c}V$ decays within the QCD factorization
• Charge and Transition Form Factors of Light Mesons with Light-Front Quark Model
• Consistent treatment for valence and nonvalence configurations in semileptonic weak deacys

Cited by in corpus (18)

• A comprehensive analysis of weak transition form factors for doubly heavy baryons in the light front approach
• Revisiting semileptonic decays of ${\Lambda }_{b(c)}$ supported by baryon spectroscopy
• Semileptonic weak decays of anti-triplet charmed baryons in the light-front formalism
• T-even TMDs for the spin-0 pseudo-scalar mesons upto twist-4 using light-front formalism
• Form factors of $P\to T$ transition within the light-front quark models
• Leading twist T-even TMDs for the spin-1 heavy vector mesons
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• Semileptonic decays of ${\Lambda }_c^{+}$ in dynamical approaches
• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization
• Investigating the transition form factors of ${\Lambda }_b\to {\Lambda }_c(2625)$ and ${\Xi }_b\to {\Xi }_c(2815)$ and the corresponding weak decays with support from baryon spectroscopy
• $D_s^{\ast }\to \varphi$ helicity form factors and the exclusive weak decays
• Polarization observables in semileptonic $V\to P$ decays of quarkonia
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• Feasibility of searching for the Cabibbo-favored $D^{\ast }$ $\to$ $\bar{K}{\pi }^{+}$, ${\bar{K}}^{\ast }{\pi }^{+}$, $\bar{K}{\rho }^{+}$ decays
• Possibility of experimental study on nonleptonic $B_c^{\ast }$ weak decays
• The QED nonfactorizable correction to the semileptonic charmed three-body $B$ decays