Chiral perturbation theory vs. vector meson dominance in the decays $\varphi \to \rho \gamma \gamma$ and $\varphi \to \omega \gamma \gamma$

Abstract

It is pointed out that the radiative decays of a $\varphi$ meson, $\text{phirho}$ and $\text{phiom}$, receive dominant contributions from the pseudoscalar ($P=\eta ,{\eta }^{{}^{\prime }}$) exchanges. Using the vector meson dominance model, we find that $B(\text{phirho})\approx 1.3\times 10^{-4}$ and $B(\text{phiom})\approx 1.5\times 10^{-5}$, which are mainly from the ${\eta }^{{}^{\prime }}$ pole. Thus, these decays are well within the reach of the $\varphi$ factory. Our estimates are a few orders of magnitude larger than the chiral loop contributions in the heavy vector meson chiral lagrangian, which is about ( a few ) $\times 10^{-9}$.

Comments: 10 pages, 2 Encapsuled-Postscript figures, uses epsfig.sty