Cosmologically Viable Low-energy Supersymmetry Breaking
Anson Hook (1), Robert McGehee (2, 3), Hitoshi Murayama (2,3,4), ((1) Maryland Center for Fundamental Physics, Department of Physics,, University of Maryland, (2) Department of Physics, University of California,, Berkeley, (3) Theoretical Physics Group

TL;DR
This paper proposes a minimal vector-mediated supersymmetry breaking model compatible with cosmological bounds, neutrino mass generation, leptogenesis, and the observed Higgs mass, featuring a very light gravitino.
Contribution
It introduces a novel minimal vector-mediated model that addresses multiple issues including neutrino masses, leptogenesis, the $5$ problem, and light gravitino compatibility with cosmological constraints.
Findings
Achieves a gravitino mass of 1-2 eV consistent with cosmological bounds.
Provides a model that explains the observed Higgs mass.
Supports thermal leptogenesis within the proposed framework.
Abstract
A recent cosmological bound on the gravitino mass, eV, together with LHC results on the Higgs mass and direct searches, excludes minimal gauge mediation with high reheating temperatures. We discuss a minimal, vector-mediated model which incorporates the seesaw mechanism for neutrino masses, allows for thermal leptogenesis, ameliorates the problem, and achieves the observed Higgs mass and a gravitino as light as - eV.
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