Generalized Seesaw Mechanism of Neutrino and Bose-Einstein Condensation in the Modified O'Raifeartaigh Model

TL;DR

This paper explores the modified O'Raifeartaigh model to understand neutrino masses via a generalized seesaw mechanism, incorporating Bose-Einstein condensates and superspace formalism to analyze stability and mass spectra.

Contribution

It introduces a comprehensive analysis combining component and superspace formalisms to study the generalized seesaw mechanism within the modified O'Raifeartaigh model, including Bose-Einstein condensates.

Findings

Mass eigenvalues consistent with the generalized seesaw mechanism

Stability conditions near the classical vacuum identified

Comparison between formalisms shows consistent results

Abstract

The modified O'Raifeartaigh model from the context of the generalized seesaw mechanism of neutrino mass is investigated. In our evaluation of effective potentials of the theory, both the component field and the superspace formalisms to approach the problem are presented. In the component field formalism, we take into account the Bose-Einstein condensates in the scalar sector by the method of many-boson theory, i.e. we consider both the condensates and the Hartree-Fock-Bogoliubov-type self-energies of quantum fluctuations. The diagonalization of the mass matrix of the fermion sector gives the same functional forms of the mass eigenvalues in the generalized seesaw mechanism. The stability condition in the vicinity of the classical vacuum which shows the generalized seesaw situation is obtained by the examination of the mass eigenvalues of the scalar sector of the model. The superspace formalism will be devoted to a comparison between its result with that of the component field formalism.