On the No-Go Theorem of Supersymmetry Breaking

TL;DR

This paper proves that supersymmetry cannot be broken through perturbative quantum corrections if it is not already broken at the classical level, even after spontaneous gauge symmetry breaking.

Contribution

It establishes a no-go theorem showing the impossibility of perturbative supersymmetry breaking without classical breaking.

Findings

Supersymmetry remains unbroken at all finite perturbative orders if not broken classically.

Spontaneous gauge symmetry breaking does not induce supersymmetry breaking perturbatively.

The result constrains mechanisms for supersymmetry breaking in quantum field theories.

Abstract

It is proved that, even if the gauge symmetry has been broken spontaneously at tree level, supersymmetry would never break through any finite orders of perturbation if it is not broken classically.