Resurrecting the minimal renormalizable supersymmetric SU(5) model

TL;DR

This paper revisits the minimal renormalizable supersymmetric SU(5) model, demonstrating its viability with high superpartner masses and specific boundary conditions, despite previous exclusions at TeV scales.

Contribution

It shows that relaxing superpartner mass constraints and applying SU(5) boundary conditions allows the model to remain viable with superpartners at much higher masses.

Findings

Superpartner masses can be between 100 and 10,000 TeV.

Viable tan beta values are between 2 and 5.

Electroweak vacuum is metastable.

Abstract

It is a well-known fact that the minimal renormalizable supersymmetric SU(5) model is ruled out assuming superpartner masses of the order of a few TeV. Giving up this constraint and assuming only SU(5) boundary conditions for the soft terms, we find that the model is still alive. The viable region of the parameter space typically features superpartner masses of order $10^2$ to $10^4$ TeV, with tan beta values between 2 and 5, but lighter spectra with single states around 10 TeV are also possible. The main constraints come from proton decay, the Higgs mass, the requirement of the SU(5) spectrum being reasonably below the Planck scale, and the lifetime of the universe. A generic feature of the model is metastability of the electroweak vacuum. In the absence of a suitable dark matter particle in the neutralino sector, a light (order GeV or smaller) gravitino is a natural candidate.