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

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arxiv 2307.10014 v1 pith:ECHHEQX7 submitted 2023-07-19 hep-ph hep-th

classification hep-phhep-th
keywords timesmathcaltheorymathbfnmssmsplitactingahler
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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    One-loop gauge coupling running gives intermediate scales from 10^10 to 10^13 GeV and GUT scales from 10^15 to 2x10^16 GeV for four SO(10) breaking chains of the conformal-gravity unification, with two high-scale scen...

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