Abstract
A recent cosmological bound on the gravitino mass, $m_{3/2}<4.7$ 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 $\mu$ problem, and achieves the observed Higgs mass and a gravitino as light as $1$-$2$ eV.
Highlights
Supersymmetry (SUSY) is a well motivated theory beyond the standard model
Models with SUSY breaking at low energies are especially interesting because they imply light gravitinos which can be produced at colliders, enabling experimental tests of the SUSY-breaking mechanism [2]
We introduce a new Uð1Þ charge assignment where the right-handed neutrino is neutral to allow the seesaw mechanism for neutrino masses and thermal leptogenesis [25]
Summary
Supersymmetry (SUSY) is a well motivated theory beyond the standard model. It offers a solution to the hierarchy problem and allows for gauge unification (see, e.g., [1]). We introduce a new Uð1Þ charge assignment where the right-handed neutrino is neutral to allow the seesaw mechanism for neutrino masses and thermal leptogenesis [25] This model produces a split spectrum usually found in gravity-mediated models [26]. The problem is the tree-level identity STrðM2Þ 1⁄4 0 which usually implies SUSY breaking cannot occur at the tree level This is because anomaly cancellation requires both positive and negative Uð1Þ charges which gives some scalars negative soft masses at tree level from a Uð1Þ D term. Vector mediation allows tree-level scalar masses and a lower SUSY-breaking scale. This gives a lighter gravitino while getting the Higgs mass correct and avoiding current bounds on MSSM particles. The lower scale ameliorates the so-called μ problem
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