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 × 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.
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ArXiv ePrint: 1702.07273
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Fortin, JF., Giasson, N. & Marleau, L. Anarchy and neutrino physics. J. High Energ. Phys. 2017, 131 (2017). https://doi.org/10.1007/JHEP04(2017)131
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DOI: https://doi.org/10.1007/JHEP04(2017)131