Neutrino Anarchy and Renormalization Group Evolution

Abstract

The observed pattern of neutrino mixing angles is in good agreement with the hypothesis of neutrino anarchy, which posits that Nature has chosen the entries of the leptonic mixing matrix at random. In this paper we investigate how stable this conclusion is under renormalization group effects. Working in the simplest type-I seesaw model and two variants of the inverse seesaw model we study how the statistical distributions of the neutrino mixing parameters evolve between the Grand Unification scale and the electroweak scale. Especially in the inverse seesaw case we find significant distortions: mixing angles tend to be smaller after RG running, and the Dirac CP phase tends to be closer to zero. The p-value describing the compatibility between the observed mixing angles and the anarchy hypothesis increases by 10-20%. This illustrates that RG effects are highly relevant for quantitative studies of the anarchy scenario.

23 pages, 12 figures. v2: References added, matches version to be published in PRD

References in corpus (6)

• Updated fit to three neutrino mixing: status of leptonic CP violation
• Dark Matter in the minimal Inverse Seesaw mechanism
• The Physical Range of Majorana Neutrino Mixing Parameters
• A Bayesian comparison of U(1) lepton flavour models
• Neutrino Mass Anarchy and the Universe
• Sterile Neutrino Anarchy

Cited by in corpus (8)

• Sterile Neutrinos
• Type-I Seesaw as the Common Origin of Neutrino Mass, Baryon Asymmetry, and the Electroweak Scale
• Sterile Neutrinos and Flavor Ratios in IceCube
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Perspectives for tests of neutrino mass generation at the GeV scale: Experimental reach versus theoretical predictions
• Anarchy with Hierarchy: A Probabilistic Appraisal
• Linear seesaw leptogenesis before/after electroweak symmetry breaking
• Aspects of Leptonic Flavour Mixing