A natural scenario for heavy colored and light uncolored superpartners

TL;DR

This paper proposes a supersymmetric model where heavy colored superpartners and light uncolored superpartners coexist, driven by gauge mediation with specific messenger fields and maintaining gauge unification at the string scale.

Contribution

It introduces a novel scenario with heavy squarks and gluinos and light sleptons and gauginos, based on a unique combination of gauge mediation and unification principles.

Findings

Colored superpartners are around 10 TeV, uncolored are 100-500 GeV.

Gauge unification is achieved at the two-loop level with incomplete SU(5) multiplets.

The model aligns with current experimental constraints from the LHC.

Abstract

Influenced by the current trend of experimental data, especially from the LHC, we construct a supersymmetric scenario where a natural dynamics makes the squarks and gluino super-heavy (order 10 TeV) while keeping the sleptons and the weak gauginos light (100-500 GeV). The dynamics relies on the interfusion of two underlying ideas: ($i$) gauge mediation of supersymmetry breaking with two messenger multiplets, one transforming as a triplet of weak SU(2) and the other as an octet of color SU(3); ($ii$) perturbative gauge coupling unification at the string scale even with these incomplete SU(5) multiplets. Interestingly, the relative magnitude of the triplet and octet messenger scales that ensures gauge unification at the two-loop level also helps to naturally keep the uncolored superpartners light while making the colored ones heavy.