Mass Hierarchies and the Seesaw Neutrino Mixing

TL;DR

This paper analyzes neutrino mixing within the seesaw mechanism, establishing relations between neutrino parameters and Majorana masses, and explores how these depend on mixing angles and solar neutrino solutions.

Contribution

It provides a general framework linking neutrino mixing parameters to Majorana mass hierarchies in the seesaw model, assuming similarity between Dirac and u-quark mass matrices.

Findings

Majorana mass hierarchies depend strongly on neutrino mixing angles.

Explicit calculations for different solar neutrino solutions.

Relations between neutrino parameters and Majorana masses derived.

Abstract

We give a general analysis of neutrino mixing in the seesaw mechanism with three flavors. Assuming that the Dirac and u-quark mass matrices are similar, we establish simple relations between the neutrino parameters and individual Majorana masses. They are shown to depend rather strongly on the physical neutrino mixing angles. We calculate explicitly the implied Majorana mass hierarchies for parameter sets corresponding to different solutions to the solar neutrino problem.