  We present a new contribution to the $K_L\rightarrow \gamma \gamma$
amplitude, which is ${\cal{O}}(p^4)$ within the counting rules of chiral
perturbation theory. This direct (non-pole) amplitude, obtained from
short-distance $s \rightarrow d \gamma$ quark diagrams of order $e G_F
\alpha_s/\pi$, and similar $s \rightarrow d \gamma \gamma$ diagrams, can
account for about half of the experimental amplitude. Closely following the
description of the $\pi ^0\rightarrow \gamma \gamma$ and $K_L\rightarrow \gamma
\gamma$ processes in the variants of the same low-energy QCD, we find that both
of these processes are anomalous in the same sense. Then, by the
anomaly-matching principle, we arrive from the chiral-quark to the bosonic
counterparts for both of these processes. In this way we add the
$K_L\rightarrow \gamma \gamma$ decay to the existing list of anomalous
radiative prosesses.
