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High Energy Physics - Phenomenology

arXiv:1305.4846 (hep-ph)
[Submitted on 21 May 2013]

Title:Minimal see-saw model predicting best fit lepton mixing angles

Authors:S. F. King
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Abstract:We discuss a minimal predictive see-saw model in which the right-handed neutrino mainly responsible for the atmospheric neutrino mass has couplings to (nu_e, nu_mu, nu_tau) proportional to (0,1,1) and the right-handed neutrino mainly responsible for the solar neutrino mass has couplings to (nu_e, nu_mu, nu_tau) proportional to (1,4,2), with a relative phase eta = -2pi/5. We show how these patterns of couplings could arise from an A_4 family symmetry model of leptons, together with Z_3 and Z_5 symmetries which fix eta = -2pi/5 up to a discrete phase choice. The PMNS matrix is then completely determined by one remaining parameter which is used to fix the neutrino mass ratio m_2/m_3. The model predicts the lepton mixing angles theta12=34 degrees, theta23=41 degrees, theta13=9.5 degrees, which exactly coincide with the current best fit values for a normal neutrino mass hierarchy, together with the distinctive prediction for the CP violating oscillation phase delta =106 degrees.
Comments: 15 pages. arXiv admin note: substantial text overlap with arXiv:1304.6264
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1305.4846 [hep-ph]
  (or arXiv:1305.4846v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1305.4846
Related DOI: https://doi.org/10.1016/j.physletb.2013.06.013

Submission history

From: Stephen King [view email]
[v1] Tue, 21 May 2013 15:07:35 UTC (17 KB)
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