Manifestation of heavy 3/2-spin lepton in large-angle $e^+e^-\rightarrow \gamma\gamma $ reaction at high energies

Abstract

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.