Form factors of $P\to T$ transition within the light-front quark models

Abstract

In this paper, we calculate the vector, axial-vector and tensor form factors of $P\to T$ transition within the standard light-front~(SLF) and covariant light-front~(CLF) quark models~(QMs). The self-consistency and Lorentz covariance of CLF QM with two types of correspondence schemes are investigated. The zero-mode effects and the spurious $\omega$-dependent contributions to the form factors of $P\to T$ transition are analyzed. Employing a self-consistent CLF QM, we present our numerical predictions for the vector, axial-vector and tensor form factors of $c\to (q,s)$~($q=u,d$) induced $D\to (a_2,K_2^{\ast })$, $D_s\to (K_2^{\ast },f_2^{\prime })$, ${\eta }_c(1S)\to (D_2^{\ast },D_{s2}^{\ast })$, $B_c\to (B_2^{\ast },B_{s2}^{\ast })$ transitions and $b\to (q,s,c)$ induced $B\to (a_2,K_2^{\ast },D_2^{\ast })$, $B_s\to (K_2^{\ast },f_2^{\prime },D_{s2}^{\ast })$, $B_c\to (D_2^{\ast },D_{s2}^{\ast },{\chi }_{c2}(1P))$, ${\eta }_b(1S)\to (B_2^{\ast },B_{s2}^{\ast })$ transitions. Finally, in order to test the obtained form factors, the semileptonic $B\to {\bar{D}}_2^{\ast }(2460){\ell }^{+}{\nu }_{\ell }$~($\ell =e,\mu$) and ${\bar{D}}_2^{\ast }(2460){\tau }^{+}{\nu }_{\tau }$ decays are studied. It is expected that our results for the form factors of $P\to T$ transition can be applied further to the relevant phenomenological studies of meson decays.

arXiv comment41 pages, 7figures. arXiv admin note: text overlap with arXiv:1908.04677

References in corpus (39)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Covariant Light-Front Approach for s-wave and p-wave Mesons: Its Application to Decay Constants and Form Factors
• 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
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• Mixing angles and electromagnetic properties of ground state pseudoscalar and vector meson nonets in the light-cone quark model
• Decay constants and radiative decays of heavy mesons in light-front quark model
• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
• $B_s\to K\ell {\nu }_{\ell }$ and $B_{(s)}\to \pi (K){\ell }^{+}{\ell }^{-}$ decays at large recoil and CKM matrix elements
• Charmless Hadronic B Decays into a Tensor Meson
• Precision calculations of $B\to V$ form factors in QCD
• B to tensor meson form factors in the perturbative QCD approach
• Semileptonic and radiative decays of the B_c meson in light-front quark model
• Consistent treatment of spin-1 mesons in the light-front formalism
• Variational Analysis of Mass Spectra and Decay Constants for Ground State Pseudoscalar and Vector Mesons in Light-Front Quark Model
• $B_c$ to P-Wave Charmonia Transitions in Covariant Light-Front Approach
• Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy meson
• B to Light Tensor Meson Form Factors Derived from Light-Cone Sum Rules
• Branching ratios, forward-backward asymmetries and angular distributions of $B\to K_2^{\ast }{l}^{+}{l}^{-}$ in the standard model and new physics scenarios
• Revisiting the form factors of $P\to V$ transition within the light-front quark models
• Form factors of $V^{\prime }\to V^{\prime \prime }$ transition within the light-front quark models
• Radiative and Semileptonic B Decays Involving the Tensor Meson K_2^*(1430) in the Standard Model and Beyond
• Form factors of heavy-to-light B decays at large recoil
• The $B_c\to D^{(\ast )}T$ decays in perturbative QCD approach
• A Covariant Light-Front Model of Heavy Mesons within HQET
• Nonleptonic two-body charmless B decays involving a tensor meson in the Perturbative QCD Approach
• Affleck-Dine Baryogenesis with Observable Neutron-Anti-Neutron Oscillation
• The $B(B_s)\to D_{(s)}({\bar{D}}_{(s)})T$ and $D_{(s)}^{\ast }({\bar{D}}_{(s)}^{\ast })T$ decays in perturbative QCD approach
• Study of Quasi-two-body $B_{(s)}\to \varphi (f_0(980)/f_2(1270)\to )\pi \pi$ Decays in Perturbative QCD Approach
• Tensor form factors of $P\to P,S,V$ and $A$ transitions within the standard and the covariant light-front approaches
• No-boundary Wave Function, Wheeler-DeWitt Equation and Path Integral Analysis of the Bouncing `Quantum' Cosmology
• Hybridized/Coupled Multiple Resonances in Nacre
• Analysis of the heavy tensor meson's strong decay with QCD sum rules
• Analysis of the $B\to K_2^{\ast }(1430),a_2(1320),f_2(1270)$ form-factors with light-cone QCD sum rules
• Split Supersymmetry Under GUT and Current Dark Matter Constraints
• (B -> K_2 l^+ l^-) decay beyond the Standard Model
• Investigation of the semileptonic transition of the $B$ into the orbitally excited charmed tensor meson
• The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons
• Complementarity of Semileptonic $B$ to $K_2^{\ast }(1430)$ and $K^{\ast }(892)$ Decays in the Standard Model with Fourth Generation

Cited by in corpus (10)

• Covariant Light-Front Approach for $B_c$ Decays into Charmonium: Implications on Form Factors and Branching Ratios
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Weak decays of triply heavy baryons in light front approach
• Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• $B_{(s)}\to D_{(s)}^{\ast \ast }$ form factors in HQEFT and model independent analysis of relevant semileptonic decays with NP effects
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays