Parametrization of PMNS matrix based on dodeca-symmetry

Abstract

The dodeca symmetry is designed to obtain the Cabibbo angle ${\theta }_C^{\mathrm{CKM}}$ approximately $15^{\mathrm{o}}$ and the (11) element of $\Vp$ as $\cos 30^{\mathrm{o}}$, leading to ${\theta }_1^{\mathrm{PMNS}}+{\theta }_C^{\mathrm{CKM}}\simeq 45^{\mathrm{o}}$. This leading order dodeca symmetric $\Vp$ is corrected by small parameters, especially as an expansion in terms of a small parameter $\beta$. Neglecting two Majorana phases, the expression of $\Vp$ contains four parameters: a small $\beta$, and three $\Od(1)$ parameters $A,B,$ and $\delta$. From the neutrino oscillation data, we present two parametrizations and estimate their $\beta$'s.

7 pages

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Cited by in corpus (5)

• Quasidegeneracy of Majorana Neutrinos and the Origin of Large Leptonic Mixing
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• Study on perturbation schemes for achieving the real PMNS matrix from various symmetric textures
• Leptonic CP violation in flipped SU(5) GUT from $Z_{12-I}$ Orbifold Compactification
• The CKM matrix from anti-SU(7) unification of GUT families