The Inverse Seesaw Mechanism in Noncommutative Geometry

TL;DR

This paper integrates the inverse Seesaw mechanism into a noncommutative geometric framework, extending the Standard Model with chiral AC fermions and a U(1) gauge extension, resulting in a viable neutrino mass generation model.

Contribution

It introduces a novel noncommutative geometric implementation of the inverse Seesaw mechanism with chiral AC fermions and a U(1) extension of the Standard Model.

Findings

Achieves a working inverse Seesaw mechanism within the noncommutative framework.

Predicts gauge invariant masses around 10^17 GeV for right-handed neutrinos.

Generates small Dirac neutrino masses dynamically, between 1 GeV and 10^6 GeV.

Abstract

In this publication we will implement the inverse Seesaw mechanism into the noncommutative framework on the basis of the AC-extension of the Standard Model. The main difference to the classical AC model is the chiral nature of the AC fermions with respect to a U(1) extension of the Standard Model gauge group. It is this extension which allows us to couple the right-handed neutrinos via a gauge invariant mass term to left-handed A-particles. The natural scale of these gauge invariant masses is of the order of 10^17 GeV while the Dirac masses of the neutrino and the AC-particles are generated dynamically and are therefore much smaller (ca. 1 GeV to 10^6 GeV). From this configuration a working inverse Seesaw mechanism for the neutrinos is obtained.