The Minimal GUT with Inflaton and Dark Matter Unification

Abstract

Giving up the solutions to the fine-tuning problems, we propose the non-supersymmetric flipped $SU(5)\times U(1{)}_X$ model based on the minimal particle content principle, which can be constructed from the four-dimensional $SO(10)$ models, five-dimensional orbifold $SO(10)$ models, and local F-theory $SO(10)$ models. To achieve gauge coupling unification, we introduce one pair of vector-like fermions, which form complete $SU(5)\times U(1{)}_X$ representation. Proton lifetime is around $5\times 10^{35}$ years, neutrino masses and mixing can be explained via seesaw mechanism, baryon asymmetry can be generated via leptogenesis, and vacuum stability problem can be solved as well. In particular, we propose that inflaton and dark matter particle can be unified to a real scalar field with $Z_2$ symmetry, which is not an axion and does not have the non-minimal coupling to gravity. Such kind of scenarios can be applied to the generic scalar dark matter models. Also, we find that the vector-like particle corrections to the $B_s^0$ masses can be about 6.6%, while their corrections to the $K^0$ and $B_d^0$ masses are negligible.

5 pages, 4 figures;V2: published version

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• SMART U(1)${}_X$ $-$ Standard Model with Axion, Right handed neutrinos, Two Higgs doublets and U(1)${}_X$ gauge symmetry
• The Final Model Building for the Supersymmetric Pati-Salam Models from Intersecting D6-Branes
• Natural Higgs Inflation, Gauge Coupling Unification, and Neutrino Masses
• The hidden sector variations in the $\mathcal{N}=1$ supersymmetric three-family Pati-Salam models from intersecting D6-branes
• Three-family supersymmetric Pati-Salam models with symplectic groups from intersecting D6-branes
• String-scale Gauge Coupling Relations in the Supersymmetric Pati-Salam Models from Intersecting D6-branes
• XENON1T Takes a Razor to a Dark $E_6$-Inspired Model
• Alternative Renormalizable Minimal SO(10) GUTs and Data Fitting
• Witten's loop in the minimal flipped $SU(5)$ unification revisited
• Neutrino Mass, Vacuum Stability and Higgs Inflation with Vector-Like Quarks and a Single Right-Handed Neutrino