K1→γγdecay rate and vector-meson-exchange contributions

Using the most recent data on radiative decays $V\to \pi \gamma$ of vector mesons, the overall effect of $\omega$, $\rho$, $\phi$, and $J$ exchange contributions to $K_1\to \gamma \gamma$ is determined more stringently. For cutoff masses of $\Lambda =25\mathrm{}\mu$ and $\Lambda =100\mathrm{}\mu$, where $\mu$ is the pion mass, the corrections to the rate estimated, using the unitarity relation with $2\pi$ dominant state, are 1.9% and 16% respectively.