Symmetry of Lepton Mixing

Abstract

Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups capable of reproducing the mixng without adjustment of parameters. This list, labeled by an integer $n\ge 3$, is explicitly calculated for $n=3$. In the top-down approach, we start from any finite group possessing a three-dimensional irreducible representation and an order-2 element, give a recipe to determine what mixing pattern it contains, and how to construct a dynamical model to reveal a particular mixing. Finally, we point out that if quark mixing is controlled by symmetry in this way, then there is an exciting possibility to determine most of the CKM mixing parameters by symmetry alone.

Publication version (Phys. Letts). One footnote and two references added

References in corpus (2)

• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• SU(3) Family Gauge Symmetry and the Axion

Cited by in corpus (9)

• The Unique Horizontal Symmetry of Leptons
• The Horizontal Symmetry for Neutrino Mixing
• Fermion Masses and Mixings from Dihedral Flavor Symmetries with Preserved Subgroups
• Simple Finite Non-Abelian Flavor Groups
• Fermion Mass Hierarchies and Flavour Mixing from a Minimal Discrete Symmetry
• Unified parametrization of quark and lepton mixing matrices in tri-bimaximal pattern
• Theory of the Neutrino Mass
• Horizontal Symmetry
• New Prediction For Leptonic Theta_13