Neutrino masses, the μ -term, and PS L 2(7 )
Abstract
Using an S O (10 )-inspired form for the Dirac neutrino mass, we map the neutrino data to the right-handed neutrino Majorana mass matrix, M , and investigate a special form with seesaw tribimaximal mixing; it predicts a normal hierarchy, and the values of the light neutrino masses. It may be generated by mapping he top quark hierarchy onto the vacuum values of familon fields transforming under the family group PS L 2(7 ) . Next, we investigate the hypothesis that these familons play a dual role, generating a hierarchy in the supersymmetric μ -mass matrix of Higgs bosons carrying family quantum numbers. A special PS L 2(7 ) invariant coupling produces a μ matrix with a hierarchy of thirteen orders of magnitude. Only one Higgs field (per hypercharge sector) is light enough (with a μ mass ∼10 - 100 GeV ) to be destabilized by supersymmetry soft breaking at the TeV scale, and upon spontaneous symmetry breaking, gives tree-level masses for the heaviest family.
- Publication:
-
Physical Review D
- Pub Date:
- October 2015
- DOI:
- 10.1103/PhysRevD.92.076006
- arXiv:
- arXiv:1412.6107
- Bibcode:
- 2015PhRvD..92g6006C
- Keywords:
-
- 11.30.Hv;
- 12.15.Ff;
- 14.60.Pq;
- 14.80.Da;
- Flavor symmetries;
- Quark and lepton masses and mixing;
- Neutrino mass and mixing;
- High Energy Physics - Phenomenology
- E-Print:
- 26 pages, no figures