Active-sterile neutrino mixing in the ISS(p,q) inverse seesaw models

TL;DR

This paper explores the inverse seesaw models with arbitrary sterile neutrino counts, analyzing their potential for dark matter candidates and how mixing depends on heavy neutrino masses rather than dark matter mass.

Contribution

It generalizes inverse seesaw models to arbitrary numbers of sterile neutrinos and examines their dark matter implications using matrix inversion techniques.

Findings

Mixing depends on heavy sterile neutrino masses, not dark matter mass.

Models with sterile neutrinos as warm dark matter are identified.

The inversion technique clarifies neutrino mixing structure.

Abstract

A class of models with inverse seesaw mechanism is considered for arbitrary numbers p and q of new neutral fermions for each generation of leptons. The models containing a candidate particle for the role of warm dark matter are sorted using the inversion technique of an arbitrary block matrix in terms of Schur complement. Unlike the seesaw type I and II models with keV sterile dark matter neutrinos, in the inverse seesaw models mixing does not depend on the mass of dark matter particle, but depends only on the mass of heavy sterile pseudo-Dirac neutrinos.