Minimal E_6 Supersymmetric Standard Model

TL;DR

This paper introduces a minimal supersymmetric model based on E_6 symmetry that unifies at the Planck scale, solves the μ problem, and predicts a new Z' boson with detailed phenomenological implications.

Contribution

It presents the ME_6SSM, a novel supersymmetric model with gauge unification, a solution to the μ problem, and a new Z' gauge boson, extending previous models with specific gauge group structures.

Findings

Unifies gauge interactions at the Planck scale.

Predicts a new Z' gauge boson at TeV scale.

Provides a framework for phenomenological studies of Z' boson.

Abstract

We propose a Minimal E_6 Supersymmetric Standard Model (ME$_6$SSM) which allows Planck scale unification, provides a solution to the $\mu$ problem and predicts a new Z'. Above the conventional GUT scale $M_{GUT}\sim 10^{16}$ GeV the gauge group corresponds to a left-right symmetric Supersymmetric Pati-Salam model, together with an additional $U(1)_{\psi}$ gauge group arising from an E_6 gauge group broken near the Planck scale. Below $M_{GUT}$ the ME$_6$SSM contains three reducible $\mathbf{27}$ representations of the Standard Model gauge group together with an additional U(1)_X gauge group, consisting of a novel and non-trivial linear combination of $U(1)_{\psi}$ and two Pati-Salam generators, which is broken at the TeV scale by the same singlet which also generates the effective $\mu$ term, resulting in a new low energy Z' gauge boson. We discuss the phenomenology of the new Z' gauge boson in some detail.