  It has been known for many years that there is a CP-conserving component for
the decay mode K_L -> pi0 e+e- and that its magnitude can be obtained from a
measurement of the amplitudes in the K_L -> pi0 gamma gamma decay mode. We
point out that the usual description of the latter in terms of a single
parameter, a_V, is not sufficient to extract the former in a model independent
manner. We further show that there exist known physics contributions to K_L ->
pi0 gamma gamma that cannot be described in terms of the single parameter a_V.
We conclude that a model independent analysis requires the experimental
extraction of three parameters.
