Semidileptonic decays of the light vector mesons in the light-front quark model

Abstract

We study the transition form factors of the light vector to pseudoscalar mesons as functions of the momentum transfer $q^2$ within the light-front quark model. With these form factors, we calculate the decay branching ratios of all possible modes for $V\to P\ell^+\ell^-$ ($V=\omega$ and $\phi$, $P=\pi^0$, $\eta$ and $\eta^{\prime}$ and $\ell=e$ and $\mu$). We find that our numerical results fit with the data, such as those of $\omega \to \pi^0 \ell^+\ell^-$ and $\phi\to \pi^0 e^+e^-$ by NA60 and $\phi \to\eta e^+e^-$ by SND. We also predict that the branching ratios of $\phi \to \pi^0 \mu^+\mu^-$, $\omega\to \eta e^+e^-$, $\omega\to \eta \mu^+\mu^-$, $\phi\to \eta \mu^+\mu^-$ and $\phi\to \eta^{\prime} e^+e^-$ to be aroud $3.48\times 10^{-6}$, $3.22\times 10^{-6}$, $1.81\times 10^{-9}$, $6.86\times 10^{-6}$ $2.97\times 10^{-7}$, respectively.