Renormalization group evolution of neutrino mixing parameters near θ13=0 and models with vanishing θ13 at the high scale

Dighe, Amol ; Goswami, Srubabati ; Ray, Shamayita (2009) Renormalization group evolution of neutrino mixing parameters near θ13=0 and models with vanishing θ13 at the high scale Physical Review D, 79 (7). Article ID 076006. ISSN 1550-7998

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Official URL: http://journals.aps.org/prd/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevD.79.076006

Abstract

Renormalization group (RG) evolution of the neutrino mass matrix may take the value of the mixing angle θ13 very close to zero, or make it vanish. On the other hand, starting from θ13=0 at the high scale it may be possible to generate a nonzero θ13, radiatively. In the most general scenario with nonvanishing CP violating Dirac and Majorana phases, we explore the evolution in the vicinity of θ13=0, in terms of its structure in the complex Uε3 plane. This allows us to explain the apparent singularity in the evolution of the Dirac CP phase δ at θ13=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 θ13 during evolution. For the class of neutrino mass models with θ13=0 at the high scale, we calculate the extent to which RG evolution can generate a nonzero θ13, when the low energy effective theory is the standard model or its minimal supersymmetric extension. We find correlated constraints on θ13, the lightest neutrino mass m0, the effective Majorana mass mεε measured in the neutrinoless double beta decay, and the supersymmetric parameter tanβ.

Item Type:Article
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ID Code:101430
Deposited On:09 Mar 2018 10:24
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