  Manifestation of the heavy 3/2-spin lepton $(h^\pm)$, as possible virtual
intermediate state in Feynmann diagrams, have been searched in the $e^+\,e^-\to
\gamma\,\gamma$ reaction at high energies and large photon angles. The
spin-vector field $\Psi_\alpha$ of the 3/2-lepton is described by the
Rarita-Schwinger one and phenomenological Lagrangian of $h^\pm\, e^\pm \,
\gamma$-interaction is chosen similarly to interaction of $\Delta$ isobar with
nucleon and $\gamma$ quant. It is described by two constants with dimension
$[M^{-1}]$ and $[M^{-2}].$ The differential cross section and polarization
asymmetries have been calculated for the case when both beams are polarized
longitudinally along their directions, as well transversally, in the reaction
plane, and normally, perpendicularly to it. Numerical estimations are performed
in wide diapason of the collision energy and parameters entering
phenomenological Lagrangian.
