Fermi-Bose cubic couplings in light-cone field theories

TL;DR

This paper derives light-cone cubic interaction vertices for fermions and bosons of arbitrary spin, revealing their factorization properties and providing insights into three-point scattering amplitudes in light-cone field theories.

Contribution

It introduces a method to derive cubic interaction vertices involving arbitrary spin fermions and bosons by enforcing Poincaré algebra closure, highlighting their factorization properties.

Findings

Derived explicit light-cone cubic vertices for arbitrary spin fermions and bosons.

Found that the three-point scattering amplitudes exhibit factorization similar to bosonic cases.

Demonstrated the consistency of these vertices with Poincaré symmetry.

Abstract

We derive light-cone cubic interaction vertices involving fermions and bosons of arbitrary spin by demanding closure of the Poincar\'e algebra. We derive the three-point scattering amplitude corresponding to these interaction vertices and find that they possess interesting factorization properties, identical to the case of three boson scattering.