Renormalization group evolution of neutrino mixing parameters near {theta}{sub 13}=0 and models with vanishing {theta}{sub 13} at the high scale
- Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005 (India)
- Physical Research Laboratory, Navrangpura, Ahmedabad 380009 (India)
Renormalization group (RG) evolution of the neutrino mass matrix may take the value of the mixing angle {theta}{sub 13} very close to zero, or make it vanish. On the other hand, starting from {theta}{sub 13}=0 at the high scale it may be possible to generate a nonzero {theta}{sub 13}, radiatively. In the most general scenario with nonvanishing CP violating Dirac and Majorana phases, we explore the evolution in the vicinity of {theta}{sub 13}=0, in terms of its structure in the complex U{sub e3} plane. This allows us to explain the apparent singularity in the evolution of the Dirac CP phase {delta} at {theta}{sub 13}=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 {theta}{sub 13} during evolution. For the class of neutrino mass models with {theta}{sub 13}=0 at the high scale, we calculate the extent to which RG evolution can generate a nonzero {theta}{sub 13}, when the low energy effective theory is the standard model or its minimal supersymmetric extension. We find correlated constraints on {theta}{sub 13}, the lightest neutrino mass m{sub 0}, the effective Majorana mass m{sub ee} measured in the neutrinoless double beta decay, and the supersymmetric parameter tan{beta}.
- OSTI ID:
- 21308222
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 79, Issue 7; Other Information: DOI: 10.1103/PhysRevD.79.076006; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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