Lepton and Quark Mixing Patterns from Finite
Flavor Symmetries

This page contains some additional material for the paper "Lepton and Quark Mixing Patterns from Finite Flavor Symmetries",Phys.Rev. D92 (2015) 9, 096010, arXiv: 1505.03798. In this work, firstly we provide a systematical and analytical study of the lepton and quark mixing patterns which can be derived from the subgroups of SU(3). Moreover, an exhaustive scan over all finite discrete groups up to order 2000 has been performed with the help of the computer algebra system GAP. Here we present the possible remnant symmetry, the predicted PMNS and CKM matrices, the mixing parameters and the values of $\chi^2$ for each group. In this approach, the PMNS matrix is determined up to permutations of rows and columns and the multiplication with phase matrices from the left and the right side. In the following, we present the configuration for which the mixing angles are as close as possible to their experimental best fit values. The full list of the residual symmetry groups can be found by clicking on the link of representative residual symmetry.

Lepton Mixing Patterns

Group ID
Group Options
Dirac All
Majorana All
Dirac 3-sigma
Majorana 3-Sigma
Neutrino Nature
Dirac neutrino
Majorana neutrino
Hierarchy Options
Normal Ordering
Inverted Ordering
Global Fitting
#

PMNS Matrix

$|U_{\text{PMNS}}|$

Mixing Angles

$\sin^2\theta_{13},\sin^2\theta_{12},\sin^2\theta_{23}$

 $\delta_{\text{CP}}$ $\chi^2$

Remnant Symmetry

$( G_l|G_{\nu})$

Quark mixing patterns for triplet assignment

Group ID
#

CKM Matrix

$|V_{\text{CKM}}|$

$\theta_q$

Remnant Symmetry

$( G_u(G_d)|G_d(G_u))$

Group Information

Group ID
Group ID
Structure
Multiplication Rules
3-Dimensional Representation

Abelian Subgroups (order>2)

Subgroup Generators

Quark mixing patterns for doublet plus singlet assignment

Group ID
#

CKM Matrix

$|V_{\text{CKM}}|$

$\theta_q$

Remnant Symmetry

$( G_u(G_d)|G_d(G_u))$

Group Information

Group ID
Group ID
Structure
Multiplication Rules
2-Dimensional Representation

Abelian Subgroups (order>1)

Subgroup Generators

Figures

Correlations of groups
Correlations of groups