Seesaw parametrization for n right-handed neutrinos

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.

arXiv comment12 pages, 4 figures. Added references and details about the sampling algorithm

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• Anarchy and Neutrino Physics
• Sterile Neutrino Anarchy
• A Mellin Transform Approach to Rephasing Invariants
• Probability Density Functions for CP-Violating Rephasing Invariants
• ALP Anarchy
• Generalised Casas-Ibarra Parametrisation for Majorana Neutrino Masses
• Revisiting the connection of baryon number, lepton number, and operator dimension
• Degenerate spectrum in the neutrino mass anarchy with Wishart matrices and implications for $0\nu \beta \beta$ and ${\delta }_{\mathrm{CP}}$
• General Approach to Neutrino Mass Mechanisms with Sterile Neutrinos
• R symmetries and a heterotic MSSM