Eclectic flavor groups

Simple Finite Non-Abelian Flavor Groups

The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with twoand three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the Icosahedral group A5, a subgroup of SO(3), and PSL2(7), a subgroup of SU(3). ∗E-mail: [email protected] †E-m...

ECLECTIC DISTRIBUTIONAL ETHICS By

Utilitarians, egalitarians, prioritarians, and sufficientarians each provide examples of situations demonstrating, often compellingly, that a sensible ethical observer must adopt their view and reject the others. We argue, to the contrary, that an attractive ethic is eclectic, in the sense of coinciding with these apparently different views in different regions of the space of social states. 1 ...

Minimal extended flavor groups , matter fields chiral representations , and the flavor question

We show the specific unusual features on chiral gauge anomalies cancellation in the minimal, necessarily 3-3-1, and the largest 3-4-1 weak isospin chiral gauge semisimple group leptoquark–bilepton extensions of the 3-2-1 conventional standard model of nuclear and electromagnetic interactions. In such models a natural explanation for the fundamental question of fermion generation replication ari...

The Eclectic Model of Censorship

Simple Non-Abelian Finite Flavor Groups and Fermion Masses

The use of nonabelian discrete groups G as family symmetries is discussed in detail. Out of all such groups up to order g = 31, the most appealing candidates are two subgroups of SU(2): the dicyclic [double dihedral] group G = Q6 = D3 ( g = 12 ) and the double tetrahedral group (d)T = Q4×̃Z3 ( g = 24 ). Both can allow a hierarchy t > b, τ > c > s, μ > u, d, e. The top quark is uniquely allowed t...