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arXiv · 0710.1585

Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario

W. Grimus·H. Kuhbock
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Abstract

We consider renormalizable SO(10) Yukawa interactions and put the three fermionic 16-plets into the 3-dimensional irreducible A_4 representation. Scanning the possible A_4 representation assignments to the scalars, we find a unique case which allows to accommodate the down-quark and charged-lepton masses. Assuming type II seesaw dominance, we obtain a viable scenario with the Zee-Wolfenstein neutrino mass matrix, i.e., the Majorana mass matrix with a vanishing diagonal. Contributions from the charged-lepton mass matrix resolve the well-known problems with lepton mixing arising from the vanishing diagonal. In our scenario, fermion masses and mixings are well reproduced for both normal and inverted neutrino mass spectra, and b-tau Yukawa unification and definite predictions for the effective mass in neutrinoless double-beta decay are obtained.

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W. Grimus, H. Kuhbock. 2008-02-16. Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario. https://doi.org/10.1103/physrevd.77.055008

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