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Maximal CP violation in lepton mixing from a model with Δ(27) flavour symmetry

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Abstract

We propose a simple mechanism which enforces \(\left| {{U_{\mu j}}} \right| = \left| {{U_{\tau j}}} \right|\forall j = 1,2,3\) in the lepton mixing matrix U. This implies maximal atmospheric neutrino mixing and a maximal CP-violating phase but does not constrain the reactor mixing angle θ 13. We implement the proposed mechanism in two renormalizable seesaw models which have features strongly resembling those of models based on a flavour symmetry group Δ(27). Among the predictions of the models, there is a determination, although ambiguous, of the absolute neutrino mass scale, and a stringent correlation between the absolute neutrino mass scale and the effective Majorana mass in neutrinoless double-beta decay.

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Authors and Affiliations

  1. Department of Physics, Instituto Superior de Engenharia de Lisboa, 1959-007, Lisbon, Portugal

    P. M. Ferreira

  2. Centre for Theoretical and Computational Physics, University of Lisbon, 1649-003, Lisbon, Portugal

    P. M. Ferreira

  3. Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria

    W. Grimus & P. O. Ludl

  4. CFTP, Instituto Superior Técnico, Technical University of Lisbon, 1049-001, Lisbon, Portugal

    L. Lavoura

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  1. P. M. Ferreira
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  2. W. Grimus
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  3. L. Lavoura
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  4. P. O. Ludl
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Correspondence to W. Grimus.

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Ferreira, P.M., Grimus, W., Lavoura, L. et al. Maximal CP violation in lepton mixing from a model with Δ(27) flavour symmetry. J. High Energ. Phys. 2012, 128 (2012). https://doi.org/10.1007/JHEP09(2012)128

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  • DOI: https://doi.org/10.1007/JHEP09(2012)128

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