Split NMSSM from dimensional reduction of a $10D$, $\mathcal{N}=1$ $E_8$ over $SU(3)/U(1)\times U(1)\times Z_3$

TL;DR

This paper derives a Split NMSSM model from a 10D $E_8$ gauge theory via dimensional reduction on a nearly-K"ahler manifold, predicting particle masses consistent with experiments.

Contribution

It presents a novel derivation of the Split NMSSM from higher-dimensional $E_8$ theory using geometric and flux breaking methods.

Findings

Third generation quark and light Higgs masses within experimental limits

Neutralino LSP mass predicted to be less than 800 GeV

Effective 4D theory matches observed particle physics data

Abstract

We examine an extension of the Standard Model which results from a $10D$, $\mathcal{N}=1$, $E_8$ gauge theory. The theory is dimensionally reduced 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 $B_0$ that triggers a Wilson flux breaking, leading to an $\mathcal{N}=1$, $SU(3)^3\times U(1)^2$ effective theory in $4D$. At lower energies we are left with the Split NMSSM. Its 2-loop analysis yields third generation quark and light Higgs masses within the experimental limits and predicts a neutralino LSP mass $<800$ GeV.