Lepton mixing predictions including Majorana phases from Δ(6n2) flavour symmetry and generalised CP

被引：59

作者：

King, Stephen F. ^{[1
]}

Neder, Thomas ^{[1
]}

机构：

[1] Sch Phys & Astron, Southampton SO17 1BJ, Hants, England

来源：

PHYSICS LETTERS B | 2014年 / 736卷

关键词：

D O I：

10.1016/j.physletb.2014.07.043

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Generalised CP transformations are the only known framework which allows to predict Majorana phases in a flavour model purely from symmetry. For the first time generalised CP transformations are investigated for an infinite series of finite groups, Delta(6n(2)) = (Zn x Zn) (sic) S-3. In direct models the mixing angles and Dirac CP phase are solely predicted from symmetry. The Delta(6n(2)) flavour symmetry provides many examples of viable predictions for mixing angles. For all groups the mixing matrix has a trimaximal middle column and the Dirac CP phase is 0 or pi. The Majorana phases are predicted from residual flavour and CP symmetries where alpha(21) can take several discrete values for each n and the Majorana phase alpha(31) is a multiple of pi. We discuss constraints on the groups and CP transformations from measurements of the neutrino mixing angles and from neutrinoless double-beta decay and find that predictions for mixing angles and all phases are accessible to experiments in the near future. (C) 2014 The Authors. Published by Elsevier B.V.

引用

页码：308 / 316

页数：9

共 34 条

[1] Planck 2013 results. XVI. Cosmological parameters [J].

Ade, P. A. R. ;

Aghanim, N. ;

Armitage-Caplan, C. ;

Arnaud, M. ;

Ashdown, M. ;

Atrio-Barandela, F. ;

Aumont, J. ;

Baccigalupi, C. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartlett, J. G. ;

Battaner, E. ;

Benabed, K. ;

Benoit, A. ;

Benoit-Levy, A. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bobin, J. ;

Bock, J. J. ;

Bonaldi, A. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Bridges, M. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cappellini, B. ;

Cardoso, J. -F. ;

Catalano, A. ;

Challinor, A. ;

Chamballu, A. ;

Chary, R. -R. ;

Chen, X. ;

Chiang, H. C. ;

Chiang, L. -Y ;

Christensen, P. R. ;

Church, S. ;

Clements, D. L. ;

Colombi, S. ;

Colombo, L. P. L. ;

Couchot, F. ;

Coulais, A. ;

Crill, B. P. ;

Curto, A. ;

Cuttaia, F. ;

Danese, L. ;

Davies, R. D. .

ASTRONOMY & ASTROPHYSICS, 2014, 571

[2]

[Anonymous], J HIGH ENERGY PHYS

[3]

[Anonymous], ARXIV13122878HEPPH

[4] Search for Neutrinoless Double-Beta Decay in 136Xe with EXO-200 [J].

Auger, M. ;

Auty, D. J. ;

Barbeau, P. S. ;

Beauchamp, E. ;

Belov, V. ;

Benitez-Medina, C. ;

Breidenbach, M. ;

Brunner, T. ;

Burenkov, A. ;

Cleveland, B. ;

Cook, S. ;

Daniels, T. ;

Danilov, M. ;

Davis, C. G. ;

Delaquis, S. ;

deVoe, R. ;

Dobi, A. ;

Dolinski, M. J. ;

Dolgolenko, A. ;

Dunford, M. ;

Fairbank, W., Jr. ;

Farine, J. ;

Feldmeier, W. ;

Fierlinger, P. ;

Franco, D. ;

Giroux, G. ;

Gornea, R. ;

Graham, K. ;

Gratta, G. ;

Hall, C. ;

Hall, K. ;

Hargrove, C. ;

Herrin, S. ;

Hughes, M. ;

Johnson, A. ;

Johnson, T. N. ;

Karelin, A. ;

Kaufman, L. J. ;

Kuchenkov, A. ;

Kumar, K. S. ;

Leonard, D. S. ;

Leonard, F. ;

Mackay, D. ;

MacLellan, R. ;

Marino, M. ;

Mong, B. ;

Diez, M. Montero ;

Mueller, A. R. ;

Neilson, R. ;

Nelson, R. .

PHYSICAL REVIEW LETTERS, 2012, 109 (03)

[5] Predictive discrete dark matter model and neutrino oscillations [J].

Boucenna, M. S. ;

Morisi, S. ;

Peinado, E. ;

Valle, J. W. F. ;

Shimizu, Yusuke .

PHYSICAL REVIEW D, 2012, 86 (07)

[6]

Chen M.-C., ARXIV14020507HEPPH

[7]

de Medeiros Varzielas I., 2012, J HIGH ENERGY PHYS, V1212

[8]

Ding G.-J., ARXIV13125222HEPPH

[9] Generalised CP and A4 family symmetry [J].

Ding, Gui-Jun ;

King, Stephen F. ;

Stuart, Alexander J. .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (12)

[10] Spontaneous CP violation from vacuum alignment in S4 models of leptons [J].

Ding, Gui-Jun ;

King, Stephen F. ;

Luhn, Christoph ;

Stuart, Alexander J. .

JOURNAL OF HIGH ENERGY PHYSICS, 2013, (05)

← 1 2 3 4 →