Supersymmetry breaking induced by radiative corrections

TL;DR

This paper demonstrates a mechanism where radiative corrections induce simultaneous gauge and supersymmetry breaking, leading to viable MSSM phenomenology and an increased GUT scale, avoiding common issues in gauge mediation.

Contribution

It introduces a novel supersymmetry breaking mechanism via radiative corrections with a single field, avoiding tachyonic masses and enhancing the GUT scale in an SU(5) model.

Findings

Supersymmetry breaking is induced by radiative corrections in a gauge non-singlet field.

Gaugino masses are not suppressed, unlike in direct gauge mediation.

The GUT scale is increased, improving proton decay constraints.

Abstract

We show that simultaneous gauge and supersymmetry breaking can be induced by radiative corrections, a la Coleman-Weinberg. When a certain correlation among the superpotential parameters is present, a local supersymmetry-breaking minimum is found in the effective potential of a gauge non-singlet field, in a region where the tree-level potential is almost flat. Supersymmetry breaking is then transmitted to the MSSM through gauge and chiral messenger loops, thus avoiding the suppression of gaugino masses characteristic of direct gauge mediation models. The use of a single field ensures that no dangerous tachyonic scalar masses are generated at the one-loop level. We illustrate this mechanism with an explicit example based on an SU(5) model with a single adjoint. An interesting feature of the scenario is that the GUT scale is increased with respect to standard unification, thus allowing for a larger colour Higgs triplet mass, as preferred by the experimental lower bound on the proton lifetime.