The Problem of Large Leptonic Mixing

Abstract

Unlike in the quark sector where simple $S_3$ permutation symmetries can generate the general features of quark masses and mixings, we find it impossible (under conditions of hierarchy for the charged leptons and without considering the see-saw mechanism or a more elaborate extension of the SM) to guarantee large leptonic mixing angles with any general symmetry or transformation of only known particles. If such symmetries exist, they must be realized in more extended scenarios.

RevTeX, 4 pages, no figures

References in corpus (5)

• Neutrino oscillations and signals in beta and 0nu2beta experiments
• Large Solar Angle and Seesaw Mechanism: a Bottom-up Perspective
• Structure of neutrino mass matrix and CP violation
• Lepton Flavor Violating Process in Bi-maximal texture of Neutrino Mixings
• Almost Pure Phase Mass Matrices from Six Dimensions

Cited by in corpus (4)

• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• The Unique Horizontal Symmetry of Leptons
• An A4 model for lepton masses and mixings
• Neutrinos in Warped Extra Dimensions