The supersymmetric spectrum in SO(10) GUTs with gauge-mediated supersymmetry breaking

TL;DR

This paper explores supersymmetric SO(10) GUT models with gauge-mediated supersymmetry breaking, revealing that strict theoretical constraints lead to a small set of models with similar, testable sparticle mass spectra.

Contribution

It introduces a broad class of SO(10) GUT models with gauge mediation, identifying the limited consistent models and their unique mass spectra under perturbativity and unification constraints.

Findings

Limited consistent models with similar mass spectra

Gauge coupling unification constrains messenger sectors

Testable predictions for sparticle masses

Abstract

We investigate a large class of supersymmetric SO(10) grand unified theories within the framework of gauge-mediated supersymmetry breaking. We start with the most general messenger sector and imbedd the standard model gauge group into either SU(2)_L X SU(2)_R X U(1)_{B-L} or SU(2)_L X U(1)_{I_{3R}} X U(1)_{B-L}. We find that the conditions of the perturbativity of the gauge couplings and unification at the GUT scale severely restrict the messenger sector and lead to testable phenomenological predictions for the sparticle masses. One of the most notable features of the class of supersymmetric SO(10) grand unified theories introduced here is that among the many possible cases there are only a few consistent models, all of which share an essentially unique mass spectrum.