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Theory Seminar (High Energy/Cosmology)
Hunting for Hierarchies in PSL2(7)
Date: Friday, January 30th
Time: 3:00 pm
Place: 5280 Chamberlin Hall
Speaker: Michael Jay Perez, University of Florida
Abstract: I will give a review of recent work done in collaboration with G. Chen and P. Ramond (arXiv 1412.6107). Attention is drawn to a finely tuned Seesaw Majorana matrix linked to the charge 2/3 quarks hierarchy. With a diagonal Dirac neutrino matrix, it gives tribimaximal mixing, and a normal hierarchy for the light neutrinos. We present a model with the family group PSL2(7) where this Majorana matrix is natural, and the top quark hierarchy, determined by the vacuum values of familon fields, is transferred to Higgs fields with family quantum numbers. PSL2(7)-invariant couplings then produce a μ-term at a scale commensurate with neutrino and quark masses, and a hierarchy of thirteen orders of magnitude. This results in only one Higgs field (per hypercharge sector) with a μ-mass ∼10−100 GeV. With SUSY soft breaking, its vacuum value is automatically aligned to give masses to the top and bottom quarks.
Host: Lisa Everett
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