Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in A4 models

James Barry and Werner Rodejohann
Phys. Rev. D 81, 093002 – Published 10 May 2010; Errata Phys. Rev. D 81, 119902 (2010); Phys. Rev. D 81, 119901 (2010)

Abstract

The addition of an A4 family symmetry and extended Higgs sector to the standard model can generate the tribimaximal mixing pattern for leptons, assuming the correct vacuum expectation value alignment of the Higgs scalars. Deviating this alignment affects the predictions for the neutrino oscillation and neutrino mass observables. An attempt is made to classify the plethora of models in the literature, with respect to the chosen A4 particle assignments. Of these models, two particularly popular examples have been analyzed for deviations from tribimaximal mixing by perturbing the vacuum expectation value alignments. The effect of perturbations on the mixing angle observables is studied. However, it is only investigation of the mass-related observables (the effective mass for neutrinoless double beta decay and the sum of masses from cosmology) that can lead to the exclusion of particular models by constraints from future data, which indicates the importance of neutrino mass in disentangling models. The models have also been tested for fine-tuning of the parameters. Furthermore, a well-known seesaw model is generalized to include additional scalars, which transform as representations of A4 not included in the original model.

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  • Received 22 March 2010
  • Publisher error corrected 28 May 2010

DOI:https://doi.org/10.1103/PhysRevD.81.093002

©2010 American Physical Society

Corrections

28 May 2010

Errata

Authors & Affiliations

James Barry* and Werner Rodejohann

  • Max-Planck-Institut für Kernphysik, Postfach 103980, D-69029 Heidelberg, Germany

  • *james.barry@mpi-hd.mpg.de
  • werner.rodejohann@mpi-hd.mpg.de

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Issue

Vol. 81, Iss. 9 — 1 May 2010

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