2007/10/31 by Walter Grimus, W. Grimus, H. Kuhbock +1 · 3 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1103/physrevd.77.055008
published as Phys.Rev.D77:055008,2008 · 19 pages, 3 figures, v2: final version for Phys. Rev. D
arxiv created 2008/02/16 · openalex publication_date 2008/03/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider renormalizable SO(10) Yukawa interactions and put the three fermionic 16-plets into the 3-dimensional irreducible A4 representation. Scanning the possible A4 representation assignments to the scalars, we find a unique case which allows one 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\ensuremath-\ensuremathτ Yukawa unification and definite predictions for the effective mass in neutrinoless double-\ensuremathβ decay are obtained.