  We work out predictions of the Linear Sigma Model for the $\gamma \gamma
\to\pi^0 \pi^0$ cross section. We consider the sigma width, which is introduced
in a consistent way with chiral Ward identities. The results of Chiral
Perturbation Theory are recovered in the $m_\sigma \to \infty$ limit. A fit to
existing experimental results is consistent with a light and broad $\sigma$
meson.
