Neutrino Masses, Anomalous U(1) Gauge Symmetry and Doublet-Triplet Splitting
Author(s) -
Nobuhiro Maekawa
Publication year - 2001
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.106.401
Subject(s) - physics , grand unified theory , particle physics , yukawa potential , proton decay , neutrino , lepton , gauge symmetry , quark , standard model (mathematical formulation) , superstring theory , hidden sector , symmetry (geometry) , fermion , gauge theory , supersymmetry , gauge (firearms) , nuclear physics , electron , geometry , mathematics , archaeology , history
We propose an attractive scenario of grand unified theories in whichdoublet-triplet splitting is beautifully realized in SO(10) unification usingDimopoulos-Wilczek mechanism. The anomalous U(1)_A gauge symmetry playsessential roles in the doublet-triplet splitting mechanism. It is interestingthat the anomalous U(1)_A charges determine the unification scale and massspectrum of additional particles as well as the order of Yukawa couplings ofquarks and leptons. For the neutrino sector, bi-maximal mixing angles arenaturally obtained and proton decay via dimension 5 operators is suppressed. Itis suggestive that the anomalous U(1)_A gauge symmetry motivated by superstringtheory excellently solves the two biggest problems in grand unified theories,fermion mass hierarchy problem and doublet-triplet splitting problem.Comment: 20 pages, typos are corrected, refs are adde
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