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#### Origin of Symmetric PMNS and CKM Matrices

##### MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons30951

Rodejohann,  Werner
Werner Rodejohann - ERC Starting Grant, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

Xu,  Xun-Jie
Werner Rodejohann - ERC Starting Grant, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

1501.02991.pdf
(Preprint), 2MB

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##### Zitation

Rodejohann, W., & Xu, X.-J. (2015). Origin of Symmetric PMNS and CKM Matrices. Physical Review D, 91(5): 056004. doi:10.1103/PhysRevD.91.056004.

The PMNS and CKM matrices are phenomenologically close to symmetric, and a symmetric form could be used as zeroth-order approximation for both matrices. We study the possible theoretical origin of this feature in flavor symmetry models. We identify necessary geometric properties of discrete flavor symmetry groups that can lead to symmetric mixing matrices. Those properties are actually very common in discrete groups such as $A_{4}$, $S_{4}$ or $\Delta(96)$. As an application of our theorem, we generate a symmetric lepton mixing scheme with $\theta_{12}=\theta_{23}=36.21^{\circ};\theta_{13}=12.20^{\circ}$ and $\delta=0$, realized with the group $\Delta(96)$.