Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models

Albright, Carl H.; Feger, Robert P.; Kephart, Thomas W.

doi:10.1103/PhysRevD.93.075032

Title: Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models

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Abstract

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.

Authors:

Albright, Carl H. ^[1]; Feger, Robert P. ^[2]; Kephart, Thomas W. ^[3]

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)

Publication Date:: Mon Apr 25 00:00:00 EDT 2016

Research Org.:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1251201

Alternate Identifier(s):: OSTI ID: 1249730

Report Number(s):: FERMILAB-PUB-16-014-T; arXiv:1601.07523
Journal ID: ISSN 2470-0010; PRVDAQ; 1417122

Grant/Contract Number:: AC02-07CH11359; FG05-85ER40226

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 93; Journal Issue: 7; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Albright, Carl H., Feger, Robert P., and Kephart, Thomas W. Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevD.93.075032.

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                    Albright, Carl H., Feger, Robert P., & Kephart, Thomas W. Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models.  United States.  https://doi.org/10.1103/PhysRevD.93.075032

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                    Albright, Carl H., Feger, Robert P., and Kephart, Thomas W. Mon .  
"Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models".  United States.  https://doi.org/10.1103/PhysRevD.93.075032.  https://www.osti.gov/servlets/purl/1251201.

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@article{osti_1251201,

  title        = {Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models},

  author       = {Albright, Carl H. and Feger, Robert P. and Kephart, Thomas W.},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevD.93.075032},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 93,

  place        = {United States},

  year         = {Mon Apr 25 00:00:00 EDT 2016},

  month        = {Mon Apr 25 00:00:00 EDT 2016}

}

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