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Renormalisation group corrections to neutrino mixing sum rules
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Renormalisation group corrections to neutrino mixing sum rules

J. Gehrlein, S.T. Petcov, M. SpinrathA.V. Titov
Journal of High Energy Physics, 卷.2016(11), 146
11/2016

摘要

CP violation Discrete Symmetries Neutrino Physics Renormalization Group Nuclear and High Energy Physics
Neutrino mixing sum rules are common to a large class of models based on the (discrete) symmetry approach to lepton flavour. In this approach the neutrino mixing matrix U is assumed to have an underlying approximate symmetry form Ũν, which is dictated by, or associated with, the employed (discrete) symmetry. In such a setup the cosine of the Dirac CP-violating phase δ can be related to the three neutrino mixing angles in terms of a sum rule which depends on the symmetry form of Ũν. We consider five extensively discussed possible symmetry forms of Ũν: i) bimaximal (BM) and ii) tri-bimaximal (TBM) forms, the forms corresponding to iii) golden ratio type A (GRA) mixing, iv) golden ratio type B (GRB) mixing, and v) hexagonal (HG) mixing. For each of these forms we investigate the renormalisation group corrections to the sum rule predictions for δ in the cases of neutrino Majorana mass term generated by the Weinberg (dimension 5) operator added to i) the Standard Model, and ii) the minimal SUSY extension of the Standard Model.

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https://doi.org/10.1007/JHEP11(2016)146檢視
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