  We propose a simple parameterization of the two-point correlator of hadronic
electromagnetic currents for the evaluation of the hadronic contributions to
the muon anomalous magnetic moment. The parameterization is explicitly done in
the Euclidean domain. The model function contains a phenomenological parameter
which provides an infrared cutoff to guarantee the smooth behavior of the
correlator at the origin in accordance with experimental data in e+ e-
annihilation. After fixing a numerical value for this parameter from the
leading order hadronic contribution to the muon anomalous magnetic moment the
next-to-leading order results related to the vacuum polarization function are
accurately reproduced. The properties of the four-point correlator of hadronic
electromagnetic currents as for instance the so-called light-by-light
scattering amplitude relevant for the calculation of the muon anomalous
magnetic moment are briefly discussed.
