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We calculate the radiative decay widths of the $a_0(980)$ and $f_0(980)$scalar mesons into $\rho\gamma$ and $\omega\gamma$ considering the dynamicallygenerated nature of these scalar resonances within the realm of the ChiralUnitary Approach. The main ingredient in the evaluation of the radiative widthof the scalar mesons are the loops coming from the decay into their constituentpseudoscalar-pseudoscalar components and the subsequent radiation of thephoton. The dominant diagrams with only pseudoscalar mesons in the loops arefound to be convergent while the divergence of those with a vector meson in theloop are written in terms of the two meson loop function easily regularizable.We provide results for all the possible charge channels and obtain results,with uncertainties, which differ significantly from quark loops models and someversion of vector meson dominance.

Meson loops in the $f_0(980)$ and $a_0(980)$ radiative decays into $\rho$, $\omega$