Journal of High Energy Physics

, 2016:23 | Cite as

Littlest Seesaw model from S 4 × U(1)

  • Stephen F. King
  • Christoph Luhn
Open Access
Regular Article - Theoretical Physics


We show how a minimal (littlest) seesaw model involving two right-handed neutrinos and a very constrained Dirac mass matrix, with one texture zero and two independent Dirac masses, may arise from S 4 ×U(1) symmetry in a semi-direct supersymmetric model. The resulting CSD3 form of neutrino mass matrix only depends on two real mass parameters plus one undetermined phase. We show how the phase may be fixed to be one of the cube roots of unity by extending the S 4 × U(1) symmetry to include a product of Z 3 factors together with a CP symmetry, which is spontaneously broken leaving a single residual Z 3 in the charged lepton sector and a residual Z 2 in the neutrino sector, with suppressed higher order corrections. With the phase chosen from the cube roots of unity to be −2π/3, the model predicts a normal neutrino mass hierarchy with m 1 = 0, reactor angle θ 13 = 8.7°, solar angle θ 12 = 34°, atmospheric angle θ 23 = 44°, and CP violating oscillation phase δ CP = −93°, depending on the fit of the model to the neutrino masses.


Discrete Symmetries Neutrino Physics Solar and Atmospheric Neutrinos 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.School of Physics and AstronomyUniversity of SouthamptonSouthamptonUnited Kingdom
  2. 2.Theoretische Physik 1, Naturwissenschaftlich-Technische FakultätUniversität SiegenSiegenGermany

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