$N=1$ trinification from dimensional reduction of $N=1$, $10D$ $E_8$ over $SU(3)/U(1)\times U(1)\times Z_3$ and its phenomenological consequences

TL;DR

This paper derives a four-dimensional extension of the Standard Model from a higher-dimensional $E_8$ theory via dimensional reduction on a specific nearly-K"ahler manifold, leading to a phenomenologically viable two Higgs doublet model with testable predictions.

Contribution

It presents a novel dimensional reduction of $E_8$ over a nearly-K"ahler manifold resulting in a realistic supersymmetric two Higgs doublet model with specific phenomenological features.

Findings

Predicts the light Higgs mass within experimental limits.

Estimates the LSP mass around 1500 GeV.

Provides a new geometric origin for Standard Model extensions.

Abstract

We present an extension of the Standard Model that results from the dimensional reduction of the $\mathcal{N}=1$, $10D$ $E_8$ group over a $M_4 \times B_0/ \mathbf{Z}_3 $ space, where $B_0$ is the nearly-K\"ahler manifold $SU(3)/U(1) \times U(1)$ and $\mathbf{Z}_3$ is a freely acting discrete group on $B_0$. Using the Wilson flux breaking mechanism we are left in four dimensions with an $\mathcal{N}=1$ $SU(3)^3$ gauge theory. Below the unification scale we have a two Higgs doublet model in a split-like supersymmetric version of the Standard Model, which yields third generation quark and light Higgs masses within the experimental limits and predicts the LSP $\sim $ 1500 $GeV$.