Anarchy and Neutrino Physics

Abstract

The neutrino sector of a seesaw-extended Standard Model is investigated under the anarchy hypothesis. The previously derived probability density functions for neutrino masses and mixings, which characterize the type I-III seesaw ensemble of $N\times N$ complex random matrices, are used to extract information on the relevant physical parameters. For $N=2$ and $N=3$, the distributions of the light neutrino masses, as well as the mixing angles and phases, are obtained using numerical integration methods. A systematic comparison with the much simpler type II seesaw ensemble is also performed to point out the fundamental differences between the two ensembles. It is found that the type I-III seesaw ensemble is better suited to accommodate experimental data. Moreover, the results indicate a strong preference for the mass splitting associated to normal hierarchy. However, since all permutations of the singular values are found to be equally probable for a particular mass splitting, predictions regarding the hierarchy of the mass spectrum remains out of reach in the framework of anarchy.

1+22 pages, 8 figures, typos fixed, added reference

References in corpus (7)

• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Seesaw parametrization for n right-handed neutrinos
• Neutrino Mass Anarchy and the Universe
• Anarchy with Hierarchy: A Probabilistic Appraisal
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Cited by in corpus (5)

• Neutrino Mass Priors for Cosmology from Random Matrices
• A Probability Density Function for Neutrino Masses and Mixings
• A Mellin Transform Approach to Rephasing Invariants
• ALP Anarchy
• Probability Density Functions for CP-Violating Rephasing Invariants