Neutrino masses and lepton mixing from $A_5\times \mathrm{CP}$

Abstract

We analyse in detail the phenomenological implications for lepton masses and mixing derived by the breaking of the discrete symmetries $A_5\times CP$ into the subgroups $Z_2\times CP$ in the neutrino sector and $Z_5$ in the charged lepton sector. We derive accurate analytic expressions for the sum of the neutrino masses ${\Sigma }_i{m}_i$ as well as for the effective Majorana masses $m_{\beta }$ and $m_{\beta \beta }$ under different hypotheses for the flavon vevs and compare them with the exact numerical results obtained from the diagonalization of the neutrino mass matrix.

40 pages, 9 figures

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• Implications of the Muon g-2 result on the flavour structure of the lepton mass matrix
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• An $A_5$ inverse seesaw model with perturbed golden ratio mixing
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation
• CP-like Symmetry with Discrete and Continuous Groups and CP Violation/Restoration