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arXiv · 1106.6117

Parametrization of PMNS matrix based on dodeca-symmetry

Jihn E. Kim·Min-Seok Seo
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Abstract

The dodeca symmetry is designed to obtain the Cabibbo angle $θ_C^{\rm CKM}$ approximately $15^{\rm o}$ and the (11) element of $\Vp$ as $\cos 30^{\rm o}$, leading to $θ_1^{\rm PMNS}+θ_C^{\rm CKM}\simeq 45^{\rm o}$. This leading order dodeca symmetric $\Vp$ is corrected by small parameters, especially as an expansion in terms of a small parameter $β$. Neglecting two Majorana phases, the expression of $\Vp$ contains four parameters: a small $β$, and three $\Od(1)$ parameters $A,B,$ and $δ$. From the neutrino oscillation data, we present two parametrizations and estimate their $β$'s.

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Jihn E. Kim, Min-Seok Seo. 2011-06-30. Parametrization of PMNS matrix based on dodeca-symmetry. https://doi.org/10.1142/s0217751x12500170

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