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.

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

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• Unitarity of the Leptonic Mixing Matrix
• Correlation between the Charged Current Interactions of Light and Heavy Majorana Neutrinos
• Seesaw Neutrinos from the Heterotic String
• The Physical Range of Majorana Neutrino Mixing Parameters
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Cited by in corpus (9)

• A Probability Density Function for Neutrino Masses and Mixings
• Sterile Neutrino Anarchy
• A Mellin Transform Approach to 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 ${\delta }_{\mathrm{CP}}$
• R symmetries and a heterotic MSSM
• General Approach to Neutrino Mass Mechanisms with Sterile Neutrinos