Gauge mediated supersymmetry breaking without exotics in orbifold compactification

TL;DR

This paper proposes a gauge mediated supersymmetry breaking model within orbifold compactification that avoids exotic particles, using a specific hidden sector SU(5)$'$ and a $ ext{Z}_{12-I}$ construction, addressing the SUSY flavor problem.

Contribution

It introduces a novel orbifold compactification model with a hidden SU(5)$'$ sector that eliminates low-energy exotics and explores light vectorlike pairs affecting vacuum stability.

Findings

Achieves no exotics at low energy in the model.

Identifies light vectorlike pairs influencing SUSY breaking.

Suggests varying compactification radii to tune coupling strengths.

Abstract

We suggest SU(5)$'$ in the hidden sector toward a possible gauge mediated supersymmetry breaking scenario for removing the SUSY flavor problem, with an example constructed in $\Z_{12-I}$ with three families. The example we present has the Pati-Salam type classification of particles in the observable sector and has no exotics at low energy. We point out that six or seven very light pairs of ${\bf 5}'$ and $\bar{\bf 5}'$ out of ten vectorlike $\five'$ and $\fiveb'$ pairs of SU(5)$'$ is achievable, leading to a possibility of an unstable supersymmetry breaking vacuum. The possibility of different compactification radii of three two tori toward achieving the needed coupling strength is also suggested.