Distinguishable RGE running effects between Dirac neutrinos and Majorana neutrinos with vanishing Majorana CP-violating phases

Abstract

In a novel parametrization of neutrino mixing and in the approximation of $\tau$-lepton dominance, we show that the one-loop renormalization-group equations (RGEs) of Dirac neutrinos are different from those of Majorana neutrinos even if two Majorana CP-violating phases vanish. As the latter can keep vanishing from the electroweak scale to the typical seesaw scale, it makes sense to distinguish between the RGE running effects of neutrino mixing parameters in Dirac and Majorana cases. The differences are found to be quite large in the minimal supersymmetric standard model with sizable $\tan \beta$, provided the masses of three neutrinos are nearly degenerate or have an inverted hierarchy.

12 pages, 5 figures

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• Impacts of the observed theta_{13} on the running behaviors of Dirac and Majorana neutrino mixing angles and CP-violating phases
• The $\mu -\tau$ reflection symmetry of Dirac neutrinos and its breaking effect via quantum corrections
• Renormalization group evolution of neutrino masses and mixing in seesaw models: A review
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• Theoretical Overview on the Flavor Issues of Massive Neutrinos
• Warped Alternatives to Froggatt-Nielsen Models
• Neutrino Masses and Lepton-flavor-violating $\tau$ Decays in the Supersymmetric Left-right Model
• Can Gravity Distinguish between Dirac and Majorana Neutrinos?
• Testing the RG Running of the Leptonic Dirac CP Phase with Reactor Neutrinos