Natural Heavy Supersymmetry

TL;DR

This paper proposes a minimal relaxation mechanism driven by QCD instanton effects that naturally generates a hierarchy between the weak scale and supersymmetric particle masses, leading to a split supersymmetry scenario.

Contribution

It introduces a simple model where a single field controls supersymmetry breaking via QCD instantons, resulting in a split supersymmetry spectrum without naturalness issues.

Findings

Gauginos are lighter than other superpartners by a one-loop factor.

The model naturally explains the hierarchy between weak scale and supersymmetric particles.

The setup avoids the naturalness problem associated with supersymmetry.

Abstract

We study how, as a result of the scanning of supersymmetry breaking during the cosmological evolution, a relaxation mechanism can naturally determine a hierarchy between the weak scale and the masses of supersymmetric particles. Supersymmetry breaking is determined by QCD instanton effects, in an extremely minimal setup in which a single field drives the relaxation and breaks supersymmetry. Since gauginos are lighter than the other supersymmetric particles by a one-loop factor, the theory is a realisation of Split Supersymmetry free from the naturalness problem.