Neutrino masses, the $\mu$-term and $\mathcal{ PSL}_2(7)$ - INSPIRE

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Neutrino masses, the $\mu$ -term and $\mathcal{ PSL}_2(7)$

Dec 18, 2014

14 pages

Published in:

Phys.Rev.D 92 (2015) 7, 076006

Published: Oct 19, 2015

e-Print:

1412.6107 [hep-ph]

DOI:

10.1103/PhysRevD.92.076006

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Abstract: (APS)

Using an SO(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 PSL2(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 PSL2(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.

Note:

26 pages, no figures

11.30.Hv
12.15.Ff
14.60.Pq
14.80.Da
neutrino: mass
neutrino: mixing
quark: mass
neutrino: Dirac
hierarchy
symmetry: family

References(34)

Figures(0)

[1]

Unification and fermion mass structure

- Phys.Lett.B 664 (2008) 97-102
•
e-Print:
- 0704.1248
•
DOI:
- 10.1016/j.physletb.2008.05.014

[2]

$\mu \to e\gamma$ at a Rate of One Out of $10^{9}$ Muon Decays?

Peter Minkowski
(
- Bern U.
)

- Phys.Lett.B 67 (1977) 421-428
•
DOI:
- 10.1016/0370-2693(77)90435-X

[2]

The Family Group in Grand Unified Theories

Pierre Ramond
(
- Caltech
)

•
e-Print:
- hep-ph/9809459

[2]

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

[2]

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]

SOME COMMENTS ON MASSIVE NEUTRINOS

Edward Witten
(
- Harvard U.
)

- Durham NH Workshop 1980:0275

[3]

Neutrino Masses in the Minimal O(10) Theory

Edward Witten
(
- Harvard U.
)

- Phys.Lett.B 91 (1980) 81-84
•
DOI:
- 10.1016/0370-2693(80)90666-8

[4]

A Supersymmetry primer

Stephen P. Martin
(
- Northern Illinois U. and
- Fermilab
)

- ,
- Adv.Ser.Direct.High Energy Phys. 21 (2010) 1-153,
- Adv.Ser.Direct.High Energy Phys. 18 (1998) 1-98
•
e-Print:
- hep-ph/9709356
•
DOI:
- 10.1142/9789812839657_0001

[5]

Majorana Physics Through the Cabibbo Haze

- JHEP 02 (2014) 036,
- JHEP 11 (2014) 158 (erratum)
•
e-Print:
- 1311.4553
•
DOI:
- 10.1007/JHEP02(2014)036

[6]

Tri-bimaximal mixing and the neutrino oscillation data

P.F. Harrison
(
- Queen Mary, U. of London
)
,
D.H. Perkins
(
- Oxford U.
)
,
W.G. Scott
(
- Rutherford
)

- Phys.Lett.B 530 (2002) 167
•
e-Print:
- hep-ph/0202074
•
DOI:
- 10.1016/S0370-2693(02)01336-9

[6]

Symmetries and generalizations of tri - bimaximal neutrino mixing

P.F. Harrison
(
- Queen Mary, U. of London
)
,
W.G. Scott
(
- Rutherford
)

- Phys.Lett.B 535 (2002) 163-169
•
e-Print:
- hep-ph/0203209
•
DOI:
- 10.1016/S0370-2693(02)01753-7

[7]

Weak Selfmasses, Cabibbo Angle, and Broken SU(2) x SU(2)

- Phys.Lett.B 28 (1968) 128-130
•
DOI:
- 10.1016/0370-2693(68)90150-0

[8]

Observation of electron-antineutrino disappearance at Daya Bay

Daya Bay

Collaboration

•

F.P. An
(
- Beijing, Inst. High Energy Phys.
)

et al.

- Phys.Rev.Lett. 108 (2012) 171803
•
e-Print:
- 1203.1669
•
DOI:
- 10.1103/PhysRevLett.108.171803

[9]

Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment

RENO

Collaboration

•

J.K. Ahn
(
- Pusan Natl. U.
)

et al.

- Phys.Rev.Lett. 108 (2012) 191802
•
e-Print:
- 1204.0626
•
DOI:
- 10.1103/PhysRevLett.108.191802

[10]

Indication of Reactor $\bar{\nu}_e$ Disappearance in the Double Chooz Experiment

Double Chooz

Collaboration

•

Y. Abe
(
- Tokyo Inst. Tech.
)

et al.

- Phys.Rev.Lett. 108 (2012) 131801
•
e-Print:
- 1112.6353
•
DOI:
- 10.1103/PhysRevLett.108.131801

[11]

Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches

G.L. Fogli
(
- Bari U. and
- INFN, Bari
)
,
E. Lisi
(
- INFN, Bari
)
,
A. Marrone
(
- Bari U. and
- INFN, Bari
)
,
D. Montanino
(
- INFN, Lecce and
- Lecce U., Sci. Mat.
)
,
A. Palazzo
(
- Munich, Tech. U., Universe
)

et al.

- Phys.Rev.D 86 (2012) 013012
•
e-Print:
- 1205.5254
•
DOI:
- 10.1103/PhysRevD.86.013012

[12]

Planck 2013 results. XVI. Cosmological parameters

Planck

Collaboration

•

P.A.R. Ade
(
- Cardiff U.
)

et al.

- Astron.Astrophys. 571 (2014) A16
•
e-Print:
- 1303.5076
•
DOI:
- 10.1051/0004-6361/201321591

[13]

Supersymmetry and the Scale of Unification

S. Dimopoulos
(
- Stanford U., ITP and
- Santa Barbara, KITP and
- Michigan U.
)
,
S. Raby
(
- Stanford U., ITP and
- SLAC
)
,
Frank Wilczek
(
- Santa Barbara, KITP
)

- Phys.Rev.D 24 (1981) 1681-1683,
- In *Ferrara, S. (ed.): Supersymmetry, Vol. 1*, 730-732
•
DOI:
- 10.1103/PhysRevD.24.1681

[13]

Low-Energy Predictions in Supersymmetric Grand Unified Theories

Luis E. Ibanez
(
- Oxford U.
)
,
Graham G. Ross
(
- Oxford U.
)

- Phys.Lett.B 105 (1981) 439-442
•
DOI:
- 10.1016/0370-2693(81)91200-4

[14]

Simple Finite Non-Abelian Flavor Groups

Christoph Luhn
(
- Florida U., Inst. Fund. Theor. and
- Florida U.
)
,
Salah Nasri
(
)
,
Pierre Ramond
(
- Florida U., Inst. Fund. Theor. and
- Florida U.
)

- J.Math.Phys. 48 (2007) 123519
•
e-Print:
- 0709.1447
•
DOI:
- 10.1063/1.2823978

[15]

Atlas of Finite Groups, Oxford University Press

J.H. Conway

[16]

op. cit

M. Gell-Mann
,
P. Ramond
,
R. Slansky

[17]

Tri-bimaximal neutrino mixing and the family symmetry semidirect product of Z(7) and Z(3)

Christoph Luhn
(
- Florida U., Inst. Fund. Theor. and
- Florida U.
)
,
Salah Nasri
(
- Florida U., Inst. Fund. Theor. and
- Florida U.
)
,
Pierre Ramond
(
- Florida U., Inst. Fund. Theor. and
- Florida U.
)

- Phys.Lett.B 652 (2007) 27-33
•
e-Print:
- 0706.2341
•
DOI:
- 10.1016/j.physletb.2007.06.059

[18]

The Octet model and its Clebsch-Gordan coefficients

J.J. de Swart
(
- CERN
)

- Rev.Mod.Phys. 35 (1963) 916-939,
- Rev.Mod.Phys. 37 (1965) 2, 326-326 (erratum)
•
DOI:
- 10.1103/RevModPhys.35.916

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