Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models
Journal Article
·
· Physical Review D
- Northern Illinois Univ., DeKalb, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Univ. Wurzburg, Wurzburg (Germany)
- Vanderbilt Univ., Nashville, TN (United States)
In this study, to explain quark and lepton masses and mixing angles, one has to extend the standard model, and the usual practice is to put the quarks and leptons into irreducible representations of discrete groups. We argue that discrete flavor symmetries (and their concomitant problems) can be avoided if we extend the gauge group. In the framework of SU(12) we give explicit examples of models having varying degrees of predictability obtained by scanning over groups and representations and identifying cases with operators contributing to mass and mixing matrices that need little fine- tuning of prefactors. Fitting with quark and lepton masses run to the GUT scale and known mixing angles allows us to make predictions for the neutrino masses and hierarchy, the octant of the atmospheric mixing angle, leptonic CP violation, Majorana phases, and the effective mass observed in neutrinoless double beta decay.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
- Grant/Contract Number:
- AC02-07CH11359; FG05-85ER40226
- OSTI ID:
- 1251201
- Alternate ID(s):
- OSTI ID: 1249730
- Report Number(s):
- FERMILAB-PUB--16-014-T; arXiv:1601.07523; 1417122
- Journal Information:
- Physical Review D, Journal Name: Physical Review D Journal Issue: 7 Vol. 93; ISSN PRVDAQ; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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