TL;DR
This paper explores a minimal supersymmetric SU(5) grand unified theory that naturally generates fermion masses, predicts a massless neutrino, and supports leptogenesis, with detailed analysis of proton decay and neutralino properties.
Contribution
It presents the supersymmetric extension of a minimal renormalizable SU(5) GUT with neutrino masses, leptogenesis, and minimal field content, enhancing theoretical simplicity.
Findings
Predicts one massless neutrino
Supports leptogenesis mechanism
Analyzes proton decay and neutralino properties
Abstract
Recently we have proposed a renormalizable grand unified theory, based on the SU(5) gauge symmetry, where the neutrino masses are generated through the type I and type III seesaw mechanisms. In this letter we study the supersymmetric version of this theory. As in the non-susy version it is possible to generate all fermion masses with the minimal number of Higgses, the theory predicts one massless neutrino and the leptogenesis mechanism can be realized. All contributions to the decay of the proton and the properties of neutralinos are discussed. This theory can be considered as the simplest renormalizable supersymmetric grand unified theory based on the SU(5) gauge symmetry since it has the minimal number of superfields and free parameters.
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