A simple 5D SO(10) GUT and sparticle masses

TL;DR

This paper proposes a five-dimensional supersymmetric SO(10) GUT model with orbifold compactification, analyzing its sparticle mass spectrum and demonstrating the viability of a neutralino LSP dark matter candidate consistent with gauge coupling unification.

Contribution

It introduces a novel 5D SO(10) GUT framework with orbifold compactification and gaugino mediation, providing new insights into sparticle masses and dark matter candidates.

Findings

Neutralino LSP can be realized as dark matter

Gauge coupling unification is maintained with threshold corrections

Sparticle mass spectrum consistent with the model

Abstract

Simple supersymmetric SO(10) GUT in five dimensions is proposed, in which the fifth dimension is compactified on the $S^1/(Z_2\times Z_2^\prime)$ orbifold with two inequivalent branes at the orbifold fixed points. In this model, all matter and Higgs multiplets reside on one brane (PS brane) where the Pati-Salam (PS) symmetry is manifest, while only the SO(10) gauge multiplet resides on the bulk. The supersymmetry breaking on the other brane (SO(10) brane) is transmitted to the PS brane through the gaugino mediation with the bulk gauge multiplet. We examine sparticle mass spectrum in this setup and show that the neutralino LSP as the dark matter candidate can be realized when the compactification scale of the fifth dimension is higher than the PS symmetry breaking scale, keeping the successful gauge coupling unification after incorporating threshold corrections of Kaluza-Klein modes of the bulk gauge multiplets.