SIMPLE NON-ABELIAN FINITE FLAVOR GROUPS AND FERMION MASSES
نویسندگان
چکیده
منابع مشابه
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...
متن کاملSimple 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...
متن کاملFinite $p$-groups and centralizers of non-cyclic abelian subgroups
A $p$-group $G$ is called a $mathcal{CAC}$-$p$-group if $C_G(H)/H$ is cyclic for every non-cyclic abelian subgroup $H$ in $G$ with $Hnleq Z(G)$. In this paper, we give a complete classification of finite $mathcal{CAC}$-$p$-groups.
متن کاملOn non-normal non-abelian subgroups of finite groups
In this paper we prove that a finite group $G$ having at most three conjugacy classes of non-normal non-abelian proper subgroups is always solvable except for $Gcong{rm{A_5}}$, which extends Theorem 3.3 in [Some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable, Acta Math. Sinica (English Series) 27 (2011) 891--896.]. Moreover, we s...
متن کاملLepton Flavor Violation and Fermion Masses
Lepton flavor violation may be a signature of “GUT scale” physics, if the messenger scale for SUSY breaking is above the “GUT scale.” We elaborate on the details of this simple statement in the following talk.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1995
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x95002187