Anarchy and Leptogenesis

Details Anarchy and Leptogenesis Anarchy and Leptogenesis

2012-04-24

arxiv.org/abs/1204.5453v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

26 pages, 4 figures

Scientific paper

We study if leptogenesis works successfully in consistent with the neutrino mass anarchy. We find that, while the distributions of the neutrino mixing angles as well as Dirac and Majorana CP violation phases are determined by the invariant Haar measure of U(3), the neutrino mass spectrum is generically affected by leptogenesis. In the case of thermal leptogenesis, the light neutrino mass distribution agrees well with the observations if the reheating temperature is O(10^{9-10}) GeV. The mass spectrum of the right-handed neutrinos and the neutrino Yukawa matrix exhibit a certain pattern, as a result of the competition between random matrices with elements of order unity and the wash-out effect. Non-thermal leptogenesis is consistent with observation only if the inflaton mass is larger than or comparable to the typical right-handed neutrino mass scale. Cosmological implications are discussed in connection with the 125 GeV Higgs boson mass.

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