Tri-bimaximal neutrino mixing from discrete symmetry in extra dimensions
By Guido Altarelli, F. Feruglio. 2005
523 citations recorded by the source corpus.
We discuss a particularly symmetric model of neutrino mixings where, with good accuracy, the atmospheric mixing angle �23 is maximal, �13 = 0 and the solar angle satisfies sin 2 �12 = 1 (Harrison-Perkins-Scott (HPS) matrix). The discrete symmetry A4 is a suitable symmetry group for the realization of this type of model. We construct a model where the HPS matrix is exactly obtained in a first approximation without imposing ad hoc relations among parameters. The crucial issue of the required VEV alignment in the scalar sector is discussed and we present a natural solution of this problem based on a formulation with extra dimensions. We study the corrections from higher dimensionality operators allowed by the symmetries of the model and discuss the conditions on the cut-off scales and the VEVs in order for these corrections to be completely under control. Finally, the observed hierarchy of charged lepton masses is obtained by assuming a larger flavour symmetry. We also show that, under general conditions, a maximal �23 can never arise from an exact flavour symmetry.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c565341917a2947d55c01fd32e1c9b4a3d7f8a6c
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In Nuclear and High Energy Physics
Citations in the corpus
- Neutrino mass and mixing with discrete symmetry (2013, methodology): “3, the AltarelliFeruglio A4 model [30, 103] provides an example of a semi-direct model.”
- Flavor structures of charged fermions and massive neutrinos (2019, methodology): “[420, 422, 423, 769, 771] to illustrate how to obtain the constant tribimaximal neutrino mixing pattern in Eq.”
- A(4) family symmetry and quark-lepton unification (2006, unknown): “…sfk@hep.phys.soton.ac.uk Michal Malinský School of Physics and Astronomy, University of Southampton, SO16 1BJ Southampton, United Kingdom E-mail: malinsky@phys.soton.ac.uk Abstract:We present a model of quark and lepton masses and mixings based on A4 family symmetry, a discrete subgroup of an…”