2008/02/29 by Berthold Stech, Zurab Tavartkiladze · 1 citation
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.77.076009
published as Phys.Rev.D77:076009,2008 · RevTex, typos corrected, refs. added. To appear in Phys Rev D
arxiv created 2008/04/08 · openalex publication_date 2008/04/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The group E6 for grand unification is combined with the generation symmetry group SO(3)g. The coupling matrices in the Yukawa interaction are identified with the vacuum expectation values of scalar fields which are representations of the generation symmetry. These values determine the hierarchy of the fermions as well as their mixings and CP violation. This generation mixing appears in conjunction with the mixing of the standard model fermions with the heavy fermions present in the lowest representation of E6. A close connection between charged and neutral fermions is observed relating for instance the Cabibbo-Kobayashi-Maskawa (CKM) mixings with the mass splittings of the light neutrinos. Numerical fits with only a few parameters reproduce quantitatively all known fermion properties. The model predicts an inverted neutrino hierarchy and gives rather strict values for the light and heavy neutrino masses as well as for the 0\ensuremathν2\ensuremathβ decay parameter. It also predicts that the masses of the two lightest of six ``right handed'' neutrinos lie in the low TeV region.