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

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 $D\to (a_2,K_2^{\ast })$, $D_s \to (K^2,f’{2})$,$\eta_c(1S) \to (D^2,D^*{s2})$,$ B_c \to (B^_2,B^{s2})$transitionsand$b\to (q,s,c)$induced$B \to (a_2,K^_2,D^2)$,$B_s \to (K^_2,f’_2,D^{s2})$,$B_c \to (D^_2,D^{s2},\chi_{c2}(1P))$,$\eta_b(1S) \to (B^_2,B^_{s2})$ transitions. Finally, in order to test the obtained form factors, the semileptonic $B\to \bar{D}2^*(2460)\ell^+\nu\ell$($\ell=e,\mu$)and$\bar{D}2^*(2460)\tau^+\nu{\tau}$ 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.