Families from Supergroups and Predictions for Leptonic CP Violation

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

doi:10.1007/JHEP10(2017)128

Families from Supergroups and Predictions for Leptonic CP Violation

S.M. Barr
(
- Delaware U. and
- Delaware U., Bartol Inst.
)
,
Heng-Yu Chen
(
- Delaware U. and
- Delaware U., Bartol Inst.
)

Sep 2, 2016

9 pages

Published in:

JHEP 10 (2017) 128

Published: Oct 19, 2017

e-Print:

1609.00706 [hep-ph]

DOI:

10.1007/JHEP10(2017)128

View in:

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Abstract: (Springer)

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.

Note:

11 pages, no figures. Title changed. Section 3 expanded to include realistic solution for lepton sector

Beyond Standard Model
GUT
symmetry: family
scale: electroweak interaction
supersymmetry
family: 3
fermion: representation
neutrino: right-handed
SU(5) x SU(2) x U(1)
grand unified theory

References(7)

Figures(0)

[1]

CANCELLATION OF ANOMALIES IN HIGH DIMENSIONS

L. Caneschi
(
- Pisa U.
)
,
G.R. Farrar
(
- Rutgers U., Piscataway
)
,
A. Schwimmer
(
- Weizmann Inst.
)

- Phys.Lett.B 138 (1984) 386-388
•
DOI:
- 10.1016/0370-2693(84)91923-3

[2]

Irreducible Representations of SU( $M/N$ )

J.P. Hurni
(
- Geneva U.
)
,
B. Morel
(
- Geneva U.
)

- J.Math.Phys. 24 (1983) 157,
- J.Math.Phys. 24 (1983) 2250 (erratum)
•
DOI:
- 10.1063/1.525573

[3]

Complex Spinors and Unified Theories

- Conf.Proc.C 790927 (1979) 315-321,
- Stony Brook Wkshp.1979:0315,
- Republished in Murray Gell-Mann: Selected Papers pp.266-267
•
e-Print:
- 1306.4669

[3]

Horizontal gauge symmetry and masses of neutrinos

Tsutomu Yanagida
(
- Tohoku U.
)

- Conf.Proc.C 7902131 (1979) 95-99,
- Included in: Sixty Years of Double Beta Decay, Edited by H.V. Klapdor-Kleingrothaus (169-172)

[3]

Neutrino Mass and Spontaneous Parity Nonconservation

- Phys.Rev.Lett. 44 (1980) 912,
•
DOI:
- 10.1103/PhysRevLett.44.912

[3]

The Future of Elementary Particle Physics

S.L. Glashow
(
- Harvard U.
)

- NATO Sci.Ser.B 61 (1980) 687,
- Cargese Summer Inst.1979:0687
•
DOI:
- 10.1007/978-1-4684-7197-7_15

[4]

Unity of All Elementary Particle Forces

H. Georgi
(
- Harvard U.
)
,
S.L. Glashow
(
- Harvard U.
)

- Phys.Rev.Lett. 32 (1974) 438-441,
- Also in *Lichtenberg, D.B. (ed.), Rosen, S.P. (ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 492-495, and in *Froggatt, C.D., Nielsen, H.B.: Origin of symmetries* 330-333
•
DOI:
- 10.1103/PhysRevLett.32.438

Families from Supergroups and Predictions for Leptonic CP Violation

Citations per year

CANCELLATION OF ANOMALIES IN HIGH DIMENSIONS

Irreducible Representations of SU(M/NM/NM/N)

Complex Spinors and Unified Theories

Horizontal gauge symmetry and masses of neutrinos

Neutrino Mass and Spontaneous Parity Nonconservation

The Future of Elementary Particle Physics

Unity of All Elementary Particle Forces

Irreducible Representations of SU( $M/N$ )