Renormalization group evolution of neutrino mixing parameters nearθ13=0and models with vanishingθ13at the high scale

2008/10/31 by Amol Dighe, Srubabati Goswami, Sreetama Goswami +1
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Computer science #Mixing (physics) #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #hep-ph

paper · pdf · doi:10.1103/physrevd.79.076006

published as Phys.Rev.D79:076006,2009 · 24 pages, 6 figures, revtex4

arxiv created 2008/10/31 · openalex publication_date 2009/04/16 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Renormalization group (RG) evolution of the neutrino mass matrix may take the value of the mixing angle \ensuremathθ₁₃ very close to zero, or make it vanish. On the other hand, starting from \ensuremathθ₁₃=0 at the high scale it may be possible to generate a nonzero \ensuremathθ₁₃, radiatively. In the most general scenario with nonvanishing CP violating Dirac and Majorana phases, we explore the evolution in the vicinity of \ensuremathθ₁₃=0, in terms of its structure in the complex U_e3 plane. This allows us to explain the apparent singularity in the evolution of the Dirac CP phase \ensuremathδ at \ensuremathθ₁₃=0. We also introduce a formalism for calculating the RG evolution of neutrino parameters that uses the Jarlskog invariant and naturally avoids this singular behavior. We find that the parameters need to be extremely fine-tuned in order to get exactly vanishing \ensuremathθ₁₃ during evolution. For the class of neutrino mass models with \ensuremathθ₁₃=0 at the high scale, we calculate the extent to which RG evolution can generate a nonzero \ensuremathθ₁₃, when the low energy effective theory is the standard model or its minimal supersymmetric extension. We find correlated constraints on \ensuremathθ₁₃, the lightest neutrino mass m₀, the effective Majorana mass m_ee measured in the neutrinoless double beta decay, and the supersymmetric parameter tan\ensuremathβ.

Citations

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