Nearly tri-bimaximal mixing in the S_3 flavour symmetry

Abstract

We present an analysis of the theoretical neutrino mixing matrix, V_{PMNS}^{th}, previously derived in the framework of the minimal S_3-invariant extension of the Standard Model. All entries in the neutrino mixing matrix, V_{PMNS}^{th}, the mixing angles and the Majorana phases are given as exact, explicit analytical functions of the mass ratios of the charged leptons and neutrinos, and one Dirac phase, in excellent agreement with the the latest experimental data. Here, it will be shown that all entries in V_{PMNS}^{th} are numerically very close to the tri-bimaximal form of the neutrino mixing matrix, so that V_{PMNS}^{th} may be written as V^{tri}+ΔV_{PMNS}^{tri}. The small correction ΔV_{PMNS}^{tri} is expressed as a sum of two terms: first, a small correction term proportional to m_{e}/m_μ depending only on the charged lepton mass ratios and, second, a Cabbibo-like, small term, δt_{12}, which is a function of both the charged lepton and the neutrino mass ratios.

arXiv comment6 pages, Talk given at XI Mexican Workshop on Particles and Fields, Tuxtla Gutierrez, Chiapas, Mexico, 7-12 Nov 2007. To be published in AIP conference proceedings

References in corpus (6)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• The Flavor Symmetry
• Lepton masses, mixings and FCNC in a minimal S_3-invariant extension of the Standard Model
• S_3-flavour symmetry as realized in lepton flavour violating processes
• Neutrino Physics
• Neutrino masses and mixings in a Minimal S_3-invariant Extension of the Standard Model

Cited by in corpus (16)

• Flavor structures of charged fermions and massive neutrinos
• S4 as a natural flavor symmetry for lepton mixing
• S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT
• The S_3 flavor symmetry in 3-3-1 models
• Quark sector of S3 models: classification and comparison with experimental data
• An A4 model for lepton masses and mixings
• The $S_3$ flavour symmetry: Neutrino masses and mixings
• Lepton Flavor Model from Delta(54) Symmetry
• The T7 flavor symmetry in 3-3-1 model with neutral leptons
• Neutrino mixing with broken $S_3$ symmetry
• B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry
• Delta(54) Flavor Model for Leptons and Sleptons
• An S4 model for quarks and leptons with maximal atmospheric angle
• Perturbing exactly tri-bimaximal neutrino mixings with charged lepton mass matrices
• Lepton Flavor Violation in Complex SUSY Seesaw Models with Nearly Tribimaximal Mixing
• Scalar and gauge sectors in the 3-Higgs Doublet Model under the S3-symmetry