F-SU(5)

TL;DR

This paper constructs flipped SU(5) models from F-theory and free fermionic string theory, addressing key issues like unification, proton decay, and neutrino masses, with testable predictions at the LHC and Hyper-Kamiokande.

Contribution

It presents new flipped SU(5) models from F-theory and free fermionic string theory that solve several fundamental problems and make experimentally testable predictions.

Findings

Proton decay within reach of Hyper-Kamiokande.

Models achieve gauge coupling unification and decouple at TeV scale.

Neutrino masses explained via double seesaw or seesaw mechanisms.

Abstract

We construct three flipped SU(5) X U(1)_X models from F-theory, and consider two such models from free fermionic string model building. To achieve the decoupling scenario in F-theory models and the string-scale gauge coupling unification in free fermionic models, we introduce vector-like particles at the TeV scale that can be observed at the Large Hadron Collider. We study gauge coupling unification, and find that proton decay is within the reach of the future Hyper-Kamiokande experiment. In these models, the doublet-triplet splitting problem and monopole problem can be solved, the neutrino masses and mixings can be explained via the double seesaw or seesaw mechanism, the observed baryon asymmetry can be obtained through leptogenesis, the hybrid inflation can be realized, and the correct cosmic primodial density fluctuations can be generated.