Families from supergroups and predictions for leptonic CP violation

Barr, S. M.; Chen, Heng-Yu

doi:10.1007/jhep10(2017)128

Title: Families from supergroups and predictions for leptonic CP violation

Journal Article · Thu Oct 19 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2017)128· OSTI ID:1512470

Barr, S. M. ^[1]; Chen, Heng-Yu ^[1]

Univ. of Delaware, Newark, DE (United States)

As was shown in 1984 by Caneschi, Farrar, and Schwimmer, decomposing representations of the supergroup SU(M|N), can give interesting anomaly-free sets of fermion representations of SU(M) × SU(N) × U(1). It is shown here that such groups can be used to construct realistic grand unified models with non-abelian gauged family symmetries. A particularly simple three-family example based on SU(5) × SU(2) × U(1) is studied. The forms of the mass matrices, including that of the right-handed neutrinos, are determined in terms of SU(2) Clebsch coefficients; and the model is able to fit the lepton sector and predict the Dirac CP-violating phase of the neutrinos. Models of this type would have a rich phenomenology if part of the family symmetry is broken near the electroweak scale.

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Research Organization:: Univ. of Delaware, Newark, DE (United States)

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

Grant/Contract Number:: SC0013880

OSTI ID:: 1512470

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 1 work

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References (6)

Cancellation of anomalies in high dimensions Caneschi, L.; Farrar, G. R.; Schwimmer, A. Physics Letters B, Vol. 138, Issue 5-6 https://doi.org/10.1016/0370-2693(84)91923-3	journal	April 1984
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
Irreducible representations of SU( m / n ) Hurni, J. ‐P.; Morel, B. Journal of Mathematical Physics, Vol. 24, Issue 1 https://doi.org/10.1063/1.525573	journal	January 1983
Neutrino Mass and Spontaneous Parity Nonconservation Mohapatra, Rabindra N.; Senjanović, Goran Physical Review Letters, Vol. 44, Issue 14 https://doi.org/10.1103/PhysRevLett.44.912	journal	April 1980
Unity of All Elementary-Particle Forces Georgi, Howard; Glashow, S. L. Physical Review Letters, Vol. 32, Issue 8 https://doi.org/10.1103/PhysRevLett.32.438	journal	February 1974
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 40, Issue 10 https://doi.org/10.1088/1674-1137/40/10/100001	journal	October 2016

Cited By (1)

Ultraviolet to infrared evolution and nonperturbative behavior of $SU (N) \otimes SU (N - 4) \otimes U (1)$ chiral gauge theories Ryttov, Thomas A.; Shrock, Robert Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/physrevd.100.055009	journal	September 2019

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