Induced On-shell Supersymmetry in Eikonal Scattering

TL;DR

This paper demonstrates that in the eikonal limit, neutral scalar bosons and chiral fermions exhibit an induced on-shell N=1 supersymmetry, with charged particles showing a modified version, affecting scattering amplitudes.

Contribution

It reveals the emergence of on-shell supersymmetry in the eikonal limit for coupled scalars and fermions, including charged cases with modified supersymmetry.

Findings

Neutral scalars and fermions exhibit on-shell supersymmetry in the eikonal limit.

Charged scalars and spinors are described by a reduced interacting theory with modified supersymmetry.

Implications for nontrivial scattering amplitudes are discussed.

Abstract

Generically coupled neutral scalar bosons and chiral fermions are shown, in the eikonal kinematical limit, to be described by a reduced (free field) theory with N=1 {\it on-shell} supersymmetry. {\it Charged} scalars and spinors turn out to be described in the eikonal limit by a reduced interacting theory with a modified and restricted on-shell N=1 supersymmetry. Consequences of such a symmetry for the nontrivial scattering amplitudes in this latter case are discussed.