Anarchy and neutrino physics

作者:Fortin Jean Francois*; Giasson Nicolas; Marleau Luc
来源:The Journal of High Energy Physics, 2017, 2017(4): 131.
DOI:10.1007/JHEP04(2017)131

摘要

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 x 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.

  • 出版日期2017-4-21