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Neutrino properties from E 6 × SO(3) × Z(2)
Author(s) -
Stech B.
Publication year - 2010
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201000034
Subject(s) - physics , yukawa potential , particle physics , neutrino , quark , cp violation , so(10) , scalar (mathematics) , fermion , grand unified theory , lepton , neutrino oscillation , coupling (piping) , antisymmetric relation , mathematical physics , nuclear physics , electron , mathematics , mechanical engineering , geometry , engineering
The group E 6 for grand unification is combined with the generation symmetry group SO(3) g × Z(2). The coupling matrices in the Yukawa interaction are identified with the vacuum expectation values of scalar flavons. The symmetric part of this 3 × 3 coupling matrix can be identified with the known up ‐quark hierarchy. The antisymmetric part is responsible for fermion mixings and CP violation. Numerical fits with only few parameters reproduce quantitatively all known fermion properties. The model predicts an inverted neutrino hierarchy, CP violation properties as well as the 0 ν 2 β decay parameter. It also predicts that the masses of the two lightest of six ‘right handed’ neutrinos lie in the low TeV region.