Lepton Mixing Parameters from Discrete and CP Symmetries - INSPIRE

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Lepton Mixing Parameters from Discrete and CP Symmetries

Ferruccio Feruglio
(
- Padua U. and
- INFN, Padua
)
,
Claudia Hagedorn
(
- SISSA, Trieste and
- Padua U.
)
,
Robert Ziegler
(
- TUM-IAS, Munich
)

Nov, 2012

27 pages

Published in:

JHEP 07 (2013) 027

e-Print:

1211.5560 [hep-ph]

DOI:

10.1007/JHEP07(2013)027

Report number:

DFPD-2012-TH-21,
TUM-HEP-868-12

View in:

ADS Abstract Service

reference search264 citations

Citations per year

Abstract: (arXiv)

We consider a scenario with three Majorana neutrinos in which a discrete, finite flavour group G_f is combined with a generalized CP transformation. We derive conditions for consistently defining such a setup. We show that in general lepton mixing angles and CP phases (Dirac as well as Majorana) only depend on one single parameter theta which can take values between 0 and pi, if the residual symmetries are G_e contained in G_f in the charged lepton and G_nu=Z_2 x CP in the neutrino sector. We perform a comprehensive study for G_f=S_4 and find five cases which are phenomenologically interesting. They naturally lead to a non-zero reactor mixing angle and all mixing parameters are strongly correlated. Some of the patterns predict maximal atmospheric mixing and maximal Dirac phase, while others predict trivial Dirac and Majorana phases.

Note:

1+29 pages, 3 figures, 3 tables; v2: comment on non-symmetric CP transformation X added, section 2 improved and shortened, some material shifted to appendices A and B, minor amendments in section 3, section 4 improved, references updated, matches version published in JHEP

neutrino: Majorana
symmetry: discrete
transformation: CP
symmetry: CP
phase: CP
symmetry: S(4)
lepton: mixing
neutrino: mixing
neutrino: atmosphere
numerical calculations

References(83)

Figures(9)

[1]

Discrete Flavor Symmetries and Models of Neutrino Mixing

Guido Altarelli
(
- Rome III U. and
- INFN, Rome3 and
- CERN
)
,
Ferruccio Feruglio
(
- Padua U. and
- INFN, Padua
)

- Rev.Mod.Phys. 82 (2010) 2701-2729
•
e-Print:
- 1002.0211
•
DOI:
- 10.1103/RevModPhys.82.2701

[1]

Non-Abelian Discrete Symmetries in Particle Physics

Hajime Ishimori
(
- Niigata U., Grad. Sch. Sci. Tech.
)
,
Tatsuo Kobayashi
(
- Kyoto U.
)
,
Hiroshi Ohki
(
- Kyoto U.
)
,
Yusuke Shimizu
(
- Niigata U., Grad. Sch. Sci. Tech.
)
,
Hiroshi Okada
(
- British U. in Egypt
)

et al.

- Prog.Theor.Phys.Suppl. 183 (2010) 1-163
•
e-Print:
- 1003.3552
•
DOI:
- 10.1143/PTPS.183.1

[2]

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

[2]

Nearly tri bimaximal neutrino mixing and CP violation

Zhi-zhong Xing
(
- Beijing, Inst. High Energy Phys.
)

- Phys.Lett.B 533 (2002) 85-93
•
e-Print:
- hep-ph/0204049
•
DOI:
- 10.1016/S0370-2693(02)01649-0

[3]

Tri-bimaximal neutrino mixing, A(4) and the modular symmetry

Guido Altarelli
(
- CERN and
- Rome III U. and
- INFN, Rome3
)
,
Ferruccio Feruglio
(
- Padua U. and
- INFN, Padua
)

- Nucl.Phys.B 741 (2006) 215-235
•
e-Print:
- hep-ph/0512103
•
DOI:
- 10.1016/j.nuclphysb.2006.02.015

[3]

Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry

I. de Medeiros Varzielas
(
- Oxford U., Theor. Phys.
)
,
S.F. King
(
- Southampton U.
)
,
G.G. Ross
(
- Oxford U., Theor. Phys.
)

- Phys.Lett.B 644 (2007) 153-157
•
e-Print:
- hep-ph/0512313
•
DOI:
- 10.1016/j.physletb.2006.11.015

[3]

A(4) flavor symmetry breaking scheme for understanding quark and neutrino mixing angles

- JHEP 04 (2006) 039
•
e-Print:
- hep-ph/0601001
•
DOI:
- 10.1088/1126-6708/2006/04/039

[3]

A(4) symmetry and neutrinos with very different masses

Ernest Ma
(
- UC, Riverside and
- Wisconsin U., Madison
)

- Phys.Rev.D 70 (2004) 031901
•
e-Print:
- hep-ph/0404199
•
DOI:
- 10.1103/PhysRevD.70.031901

[4]

Symmetry of Lepton Mixing

C.S. Lam
(
- McGill U. and
- British Columbia U.
)

- Phys.Lett.B 656 (2007) 193-198
•
e-Print:
- 0708.3665
•
DOI:
- 10.1016/j.physletb.2007.09.032

[4]

Determining Horizontal Symmetry from Neutrino Mixing

C.S. Lam
(
- McGill U. and
- British Columbia U.
)

- Phys.Rev.Lett. 101 (2008) 121602
•
e-Print:
- 0804.2622
•
DOI:
- 10.1103/PhysRevLett.101.121602

[4]

The Unique Horizontal Symmetry of Leptons

C.S. Lam
(
- McGill U. and
- British Columbia U.
)

- Phys.Rev.D 78 (2008) 073015
•
e-Print:
- 0809.1185
•
DOI:
- 10.1103/PhysRevD.78.073015

[4]

Neutrino mass matrix from S(4) symmetry

Ernest Ma
(
- UC, Riverside and
- Durham U., IPPP
)

- Phys.Lett.B 632 (2006) 352-356
•
e-Print:
- hep-ph/0508231
•
DOI:
- 10.1016/j.physletb.2005.10.019

[5]

Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam

T2K

Collaboration

•

K. Abe
(
- Tokyo U., ICRR
)

et al.

- Phys.Rev.Lett. 107 (2011) 041801
•
e-Print:
- 1106.2822
•
DOI:
- 10.1103/PhysRevLett.107.041801

[5]

Improved search for muon-neutrino to electron-neutrino oscillations in MINOS

MINOS

Collaboration

•

P. Adamson
(
- Fermilab
)

et al.

- Phys.Rev.Lett. 107 (2011) 181802
•
e-Print:
- 1108.0015
•
DOI:
- 10.1103/PhysRevLett.107.181802

[5]

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

[5]

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

[5]

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

[5]

Improved Measurement of Electron Antineutrino Disappearance at Daya Bay

Daya Bay

Collaboration

•

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

et al.

- Chin.Phys.C 37 (2013) 011001
•
e-Print:
- 1210.6327
•
DOI:
- 10.1088/1674-1137/37/1/011001

[5]

Improved Measurement of Electron Antineutrino Disappearance at Daya Bay

Daya Bay

Collaboration

•

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

et al.

- Chin.Phys.C 37 (2013) 011001
•
e-Print:
- 1210.6327
•
DOI:
- 10.1088/1674-1137/37/1/011001

[6]

Global fit to three neutrino mixing: critical look at present precision

M.C. Gonzalez-Garcia
(
- Barcelona U., ECM and
- ICREA, Barcelona and
- YITP, Stony Brook and
- ICC, Barcelona U.
)
,
Michele Maltoni
(
- Madrid, IFT
)
,
Jordi Salvado
(
- ICC, Barcelona U. and
- Barcelona U., ECM
)
,
Thomas Schwetz
(
- Heidelberg, Max Planck Inst.
)

- JHEP 12 (2012) 123
•
e-Print:
- 1209.3023
•
DOI:
- 10.1007/JHEP12(2012)123

[7]

Discrete Flavour Symmetries in Light of T2K

Reinier de Adelhart Toorop
(
- NIKHEF, Amsterdam
)
,
Ferruccio Feruglio
(
- Padua U. and
- INFN, Padua
)
,
Claudia Hagedorn
(
- Padua U. and
- INFN, Padua
)

- Phys.Lett.B 703 (2011) 447-451
•
e-Print:
- 1107.3486
•
DOI:
- 10.1016/j.physletb.2011.08.013

[7]

Finite Modular Groups and Lepton Mixing

Reinier de Adelhart Toorop
(
- NIKHEF, Amsterdam
)
,
Ferruccio Feruglio
(
- INFN, Padua and
- Padua U.
)
,
Claudia Hagedorn
(
- INFN, Padua and
- Padua U.
)

- Nucl.Phys.B 858 (2012) 437-467
•
e-Print:
- 1112.1340
•
DOI:
- 10.1016/j.nuclphysb.2012.01.017

[8]

$\mathbb{Z}_2$ Symmetry Prediction for the Leptonic Dirac CP Phase

Shao-Feng Ge
(
- Tsinghua U., Beijing
)
,
Duane A. Dicus
(
- Texas U.
)
,
Wayne W. Repko
(
- Michigan State U.
)

- Phys.Lett.B 702 (2011) 220-223
•
e-Print:
- 1104.0602
•
DOI:
- 10.1016/j.physletb.2011.06.096

[8]

Residual Symmetries for Neutrino Mixing with a Large $\theta_{13}$ and Nearly Maximal $\delta_D$

Shao-Feng Ge
(
- Tsinghua U., Beijing
)
,
Duane A. Dicus
(
- Texas U.
)
,
Wayne W. Repko
(
- Michigan State U.
)

- Phys.Rev.Lett. 108 (2012) 041801
•
e-Print:
- 1108.0964
•
DOI:
- 10.1103/PhysRevLett.108.041801

[8]

Lepton mixing and discrete symmetries

D. Hernandez
(
- ICTP, Trieste
)
,
A.Yu. Smirnov
(
- ICTP, Trieste
)

- Phys.Rev.D 86 (2012) 053014
•
e-Print:
- 1204.0445
•
DOI:
- 10.1103/PhysRevD.86.053014

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