Theoretical and phenomenological consequences of active and sterile neutrino within Beyond Standard Model framework

TL;DR

This thesis explores the theoretical and phenomenological implications of active and sterile neutrinos within extended seesaw models, including dark matter candidates, baryogenesis, and neutrino mass generation, across multiple chapters.

Contribution

It provides a comprehensive analysis of sterile neutrino phenomenology, dark matter candidates, and baryogenesis mechanisms within minimal extended seesaw frameworks, extending previous models with new scalar and fermionic sectors.

Findings

Sterile neutrinos can serve as viable dark matter candidates in keV mass range.

Active-sterile mixing impacts neutrino phenomenology and baryogenesis.

Extended seesaw models accommodate sterile neutrino masses up to keV scale.

Abstract

This thesis address theoretical and phenomenological aspects of active and sterile mixing pattern within minimal extended seesaw frameworks. It consists of six chapters, where chapters one and six are dedicated to introduction and conclusion chapters, respectively. In chapter two, we study active-sterile phenomenology with a single generation of sterile neutrino ($m_S\sim \mathcal{O}$(eV)) along with the three active neutrinos. Three independent cases for sterile mass matrices are studied in both normal and inverted hierarchy mass ordering. Chapter three is an extension of the previous chapter. The neutrino mass generation and baryogenesis {\it via} thermal leptogenesis are studied in the fermionic sector. On the other hand, an extended multi Higgs doublet model is studied in the scalar sector. Among the three Higgs doublet, one of them does not acquire any vacuum expectation value (VEV); hence, it behaves as an inert Higgs. The lightest component of this behaves as a viable dark matter candidate. Within MES, sterile mass can be stressed up to the $keV$ scale. In the fourth chapter, we studied various phenomenologies considering sterile neutrino mass in the $keV$ range. This $keV$ scaled sterile neutrino also plays the role of dark matter candidate in our study. The fifth chapter is dedicated to the texture-zero neutrino dark matter model. We study active-sterile mixing, baryogenesis $via$ resonant leptogenesis and $0\nu\beta\beta$ in the fermion sector. While, in the scalar sector, the complex scalar flavon that gives rise to sterile mass takes part in dark matter study. The imaginary component of that scalar flavon is behaving as a viable dark matter candidate.