Seesaw parametrization for n right-handed neutrinos

TL;DR

This paper develops explicit parametrizations for mixing matrices involving n right-handed neutrinos, discusses bounds on mixing angles, and explores implications for neutrino mass ratios and the neutrino anarchy framework.

Contribution

It provides a general parametrization framework for arbitrary n right-handed neutrinos and extends the neutrino anarchy model beyond the standard three-neutrino case.

Findings

Explicit parametrizations for mixing matrices for any n

Bounds on mixing angles from perturbativity and flavor violation

Preference for small n in neutrino mass ratios under anarchy

Abstract

Introducing n right-handed neutrinos to the Standard Model yields, in general, massive active neutrinos. We give explicit parametrizations for the involved mixing and coupling matrices in terms of physical parameters for both the top-down and the bottom-up approach for arbitrary n. Bounds on the complex mixing angles in the bottom-up approach from perturbativity of the Yukawa couplings to charged lepton flavor violation are discussed. As a novel illustration of possible effects from n != 3, we extend the neutrino anarchy framework to arbitrary n; we show that while the anarchic mixing angles are insensitive to the number of singlets, the observed ratios of neutrino masses prefer small n for the simplest linear measure.