leptonic dirac cp violation predictions from residual discrete symmetries

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ID: 250346
2016
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Abstract
Assuming that the observed pattern of 3-neutrino mixing is related to the existence of a (lepton) flavour symmetry, corresponding to a non-Abelian discrete symmetry group Gf, and that Gf is broken to specific residual symmetries Ge and Gν of the charged lepton and neutrino mass terms, we derive sum rules for the cosine of the Dirac phase δ of the neutrino mixing matrix U. The residual symmetries considered are: i) Ge=Z2 and Gν=Zn, n>2 or Zn×Zm, n,m≥2; ii) Ge=Zn, n>2 or Zn×Zm, n,m≥2 and Gν=Z2; iii) Ge=Z2 and Gν=Z2; iv) Ge is fully broken and Gν=Zn, n>2 or Zn×Zm, n,m≥2; and v) Ge=Zn, n>2 or Zn×Zm, n,m≥2 and Gν is fully broken. For given Ge and Gν, the sum rules for cos⁡δ thus derived are exact, within the approach employed, and are valid, in particular, for any Gf containing Ge and Gν as subgroups. We identify the cases when the value of cos⁡δ cannot be determined, or cannot be uniquely determined, without making additional assumptions on unconstrained parameters. In a large class of cases considered the value of cos⁡δ can be unambiguously predicted once the flavour symmetry Gf is fixed. We present predictions for cos⁡δ in these cases for the flavour symmetry groups Gf=S4, A4, T′ and A5, requiring that the measured values of the 3-neutrino mixing parameters sin2⁡θ12, sin2⁡θ13 and sin2⁡θ23, taking into account their respective 3σ uncertainties, are successfully reproduced.
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girardi2016nuclearleptonic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;I. Girardi;S.T. Petcov;Alexander J. Stuart;A.V. Titov
Journal biology and fertility of soils
Year 2016
DOI
10.1016/j.nuclphysb.2015.10.020
URL
http://www.sciencedirect.com/science/article/pii/S0550321315003727
Keywords
radioactivity atomic energy nuclear and particle physics

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