Distinguishable RGE Running Effects Between Dirac Neutrinos and Majorana Neutrinos with Vanishing Majorana CP -Violating Phases

2006/01/13 by Zhi-zhong Xing, Xing Zhi-Zhong, He Zhang
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Electroweak scale #MAJORANA #Majorana equation #Mathematical physics #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Renormalization group #Seesaw molecular geometry #Sterile neutrino #hep-ph

paper · pdf · doi:10.1088/0253-6102/48/3/027

published as Commun.Theor.Phys.48:525,2007 · 12 pages, 5 figures

arxiv created 2006/01/13 · openalex publication_date 2007/09/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In a novel parametrization of neutrino mixing and in the approximation of τ-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 β, provided the masses of three neutrinos are nearly degenerate or have an inverted hierarchy.

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