Quark and Lepton Flavor Triality

TL;DR

This paper introduces the concept of flavor triality, a symmetry hypothesis explaining specific flavor-changing processes in quarks and leptons, inspired by A_4 symmetry and residual Z_3 symmetry in particle physics.

Contribution

It proposes the novel idea of flavor triality, linking A_4 symmetry to flavor processes and predicting favored and disfavored decay modes in leptons and mesons.

Findings

Certain tau decays are predicted to be favored.

Specific B0 meson decays are favored or disfavored.

Flavor triality explains observed symmetry patterns in particle decays.

Abstract

Motivated by the success of A_4 in explaining neutrino tribimaximal mixing, and its approximate residual Z_3 symmetry in the quark and charged-lepton sectors, the notion of "flavor triality" is proposed. Under this hypothesis, certain processes such as tau+ to mu+mu+e- and tau+ to e+e+mu- are favored, but tau+ to mu+e+e- and mu+ to e+e+e- are disfavored. Similarly, B0 to tau+e- is favored, but B0 to tau-e+ is disfavored.