Finite modular groups and lepton mixing

被引：263

作者：

Toorop, Reinier de Adelhart ^{[2
]}

Feruglio, Ferruccio ^{[1
]}

Hagedorn, Claudia ^{[1
]}

机构：

[1] Univ Padua, Ist Nazl Fis Nucl, Sez Padova, Dipartimento Fis & Astron G Galilei, I-35131 Padua, Italy

[2] Nikhef Theory Grp, NL-1098 XG Amsterdam, Netherlands

来源：

NUCLEAR PHYSICS B | 2012年 / 858卷 / 03期

关键词：

DISCRETE FLAVOR SYMMETRIES; NEUTRINO; SUBGROUPS; MASSES;

D O I：

10.1016/j.nuclphysb.2012.01.017

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study lepton mixing patterns which are derived from finite modular groups Gamma(N), requiring subgroups G(v) and G(e) to be preserved in the neutrino and charged lepton sectors. respectively. We show that only six groups Gamma(N) with N = 3, 4, 5, 7, 8, 16 are relevant. A comprehensive analysis is presented for G(e) arbitrary and G(v) = Z(2) x Z(2), as demanded if neutrinos are Majorana particles. We discuss interesting patterns arising from both groups G(e) and G(v) being arbitrary. Several of the most promising patterns are specific deviations from tri-bimaximal mixing, all predicting theta(13) non-zero as favoured by the latest experimental data. We also comment on prospects to extend this idea to the quark sector. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：437 / 467

页数：31

共 60 条

[1] Indication of Electron Neutrino Appearance from an Accelerator-Produced Off-Axis Muon Neutrino Beam [J].

Abe, K. ;

Abgrall, N. ;

Ajima, Y. ;

Aihara, H. ;

Albert, J. B. ;

Andreopoulos, C. ;

Andrieu, B. ;

Aoki, S. ;

Araoka, O. ;

Argyriades, J. ;

Ariga, A. ;

Ariga, T. ;

Assylbekov, S. ;

Autiero, D. ;

Badertscher, A. ;

Barbi, M. ;

Barker, G. J. ;

Barr, G. ;

Bass, M. ;

Bay, F. ;

Bentham, S. ;

Berardi, V. ;

Berger, B. E. ;

Bertram, I. ;

Besnier, M. ;

Beucher, J. ;

Beznosko, D. ;

Bhadra, S. ;

Blaszczyk, F. D. M. M. ;

Blondel, A. ;

Bojechko, C. ;

Bouchez, J. ;

Boyd, S. B. ;

Bravar, A. ;

Bronner, C. ;

Brook-Roberge, D. G. ;

Buchanan, N. ;

Budd, H. ;

Calvet, D. ;

Cartwright, S. L. ;

Carver, A. ;

Castillo, R. ;

Catanesi, M. G. ;

Cazes, A. ;

Cervera, A. ;

Chavez, C. ;

Choi, S. ;

Christodoulou, G. ;

Coleman, J. ;

Coleman, W. .

PHYSICAL REVIEW LETTERS, 2011, 107 (04)

[2] Improved Search for Muon-Neutrino to Electron-Neutrino Oscillations in MINOS [J].

Adamson, P. ;

Auty, D. J. ;

Ayres, D. S. ;

Backhouse, C. ;

Barr, G. ;

Betancourt, M. ;

Bishai, M. ;

Blake, A. ;

Bock, G. J. ;

Boehnlein, D. J. ;

Bogert, D. ;

Cao, S. V. ;

Cavanaugh, S. ;

Cherdack, D. ;

Childress, S. ;

Coelho, J. A. B. ;

Corwin, L. ;

Cronin-Hennessy, D. ;

Danko, I. Z. ;

de Jong, J. K. ;

Devenish, N. E. ;

Diwan, M. V. ;

Dorman, M. ;

Escobar, C. O. ;

Evans, J. ;

Falk, E. ;

Feldman, G. J. ;

Frohne, M. V. ;

Gallagher, H. R. ;

Gomes, R. A. ;

Goodman, M. C. ;

Gouffon, P. ;

Graf, N. ;

Gran, R. ;

Grzelak, K. ;

Habig, A. ;

Hartnell, J. ;

Hatcher, R. ;

Himmel, A. ;

Holin, A. ;

Huang, X. ;

Hylen, J. ;

Irwin, G. M. ;

Isvan, Z. ;

Jaffe, D. E. ;

James, C. ;

Jensen, D. ;

Kafka, T. ;

Kasahara, S. M. S. ;

Koizumi, G. .

PHYSICAL REVIEW LETTERS, 2011, 107 (18)

[3] Comparing trimaximal mixing and its variants with deviations from tri-bimaximal mixing [J].

Albright, Carl H. ;

Rodejohann, Werner .

EUROPEAN PHYSICAL JOURNAL C, 2009, 62 (03) :599-608

[4] Tri-bimaximal neutrino mixing, A4 and the modular symmetry [J].

Altarelli, G ;

Feruglio, F .

NUCLEAR PHYSICS B, 2006, 741 (1-2) :215-235

[5]

Altarelli G, 1998, J HIGH ENERGY PHYS

[6] Discrete flavor symmetries and models of neutrino mixing [J].

Altarelli, Guido ;

Feruglio, Ferruccio .

REVIEWS OF MODERN PHYSICS, 2010, 82 (03) :2701-2729

[7] Revisiting bimaximal neutrino mixing in a model with S4 discrete symmetry [J].

Altarelli, Guido ;

Feruglio, Ferruccio ;

Merlo, Luca .

JOURNAL OF HIGH ENERGY PHYSICS, 2009, (05)

[8]

[Anonymous], 1972, ERGEBNISSE MATH IHRE

[9] Bi-maximal mixing of three neutrinos [J].

Barger, V ;

Pakvasa, S ;

Weiler, TJ ;

Whisnant, K .

PHYSICS LETTERS B, 1998, 437 (1-2) :107-116

[10] S4 as a natural flavor symmetry for lepton mixing [J].

Bazzocchi, Federica ;

Morisi, Stefano .

PHYSICAL REVIEW D, 2009, 80 (09)

← 1 2 3 4 5 6 →