Explicit breaking of supersymmetry by non-perturbative effects

TL;DR

This paper demonstrates that non-perturbative instanton effects in certain N=1 supersymmetric Higgs models explicitly break supersymmetry, with potential implications for inducing the Electro-Weak scale.

Contribution

It provides evidence that instanton effects can explicitly break supersymmetry in massive Higgs models with specific gauge groups.

Findings

Correlation functions depend on coordinates despite supersymmetry constraints

Non-perturbative effects explicitly break supersymmetry in the one instanton sector

Condensates may be used to induce the Electro-Weak scale

Abstract

Instanton effects in a family of completely massive Higgs models with N=1 supersymmetry are investigated. The models have $N_c=2$ and $N_f\ge 2$. In each model, we show that a certain gauge invariant correlation function depends in a non-trivial way on its coordinates, in spite of the fact that supersymmetry requires its constancy. This means that non-perturbative effects break supersymmetry explicitly in the one instanton sector. We also show that condensates arising in the point-like limit of the above correlation functions can in principle be used to induce the Electro-Weak scale.