Discrete symmetries, roots of unity, and lepton mixing

Journal of Physics G: Nuclear and Particle Physics

Volumn 40, Issue 7, 2013, Pages

  Grimus, W ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84879929357     PISSN: 09543899     EISSN: 13616471     Source Type: Journal    
DOI: 10.1088/0954-3899/40/7/075008     Document Type: Article

References (52)

1. Abe Y et al Double Chooz Collaboration 2012 Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment Phys. Rev. Lett. 108 131801 (arXiv:1112.6353 [hep-ex])
2. An F P et al Daya Bay Collaboration 2012 Observation of electron-antineutrino disappearance at Daya Bay Phys. Rev. Lett. 108 171803 (arXiv:1203.1669 [hep-ex])
3. Ahn J K et al RENO Collaboration 2012 Observation of reactor electron antineutrino disappearance in the RENO experiment Phys. Rev. Lett. 108 191802 (arXiv:1204.0626 [hep-ex])
4. Forero D V, Tórtola M and Valle J W F 2012 Global status of neutrino oscillation parameters after recent reactor measurements Phys. Rev. D 86 073012 (arXiv:1205.4018 [hep-ph])
5. Fogli G L, Lisi E, Marrone A, Montanino D, Palazzo A and Rotunno A M 2012 Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches Phys. Rev. D 86 013012 (arXiv:1205.5254 [hep-ph])
6. Gonzalez-Garcia M C, Maltoni M, Salvado J and Schwetz T 2012 Global fit to three neutrino mixing: critical look at present precision J. High Energy Phys. JHEP 12(2012)123 (arXiv:1209.3023 [hep-ph])
7. Harrison P F, Perkins D H and Scott W G 2002 Tri-bimaximal mixing and the neutrino oscillation data Phys. Lett. B 530 167 (arXiv:hep-ph/0202074)
8. Altarelli G and Feruglio F 2010 Discrete flavor symmetries and models of neutrino mixing Rev. Mod. Phys. 82 2701 (arXiv:1002.0211 [hep-ph])
9. Smirnov A Y 2011 Discrete symmetries and models of flavor mixing J. Phys.: Conf. Ser. 335 012006 (arXiv:1103.3461 [hep-ph])
10. 13 and lepton flavour violation J. High Energy Phys. JHEP08(2012)021 (arXiv:1205.4670 [hep-ph])
11. Altarelli G, Feruglio F and Merlo L 2012 Tri-bimaximal neutrino mixing and discrete flavour symmetries Fortschr. Phys. 61 507 (arXiv:1205.5133 [hep-ph]) (review written for the special issue on 'Flavor Symmetries and Neutrino Oscillations.')
12. Albright C H and Rodejohann W 2009 Comparing trimaximal mixing and its variants with deviations from tri-bimaximal mixing Eur. Phys. J. C 62 599 (arXiv:0812.0436 [hep-ph])
13. Albright C H, Dueck A and Rodejohann W 2010 Possible alternatives to tri-bimaximal mixing Eur. Phys. J. C 70 1099 (arXiv:1004.2798 [hep-ph])
14. 13 from a new type of constrained sequential dominance Nucl. Phys. B 856 328 (arXiv:1108.4278 [hep-ph])
15. Rodejohann W and Zhang H 2012 Simple two parameter description of lepton mixing Phys. Rev. D 86 093008 (arXiv:1207.1225 [hep-ph])
16. Ernest Ma 2012 Self-organizing neutrino mixing matrix Phys. Rev. D 86 117301 (arXiv:1209.3374 [hep-ph])
17. 1 lepton mixing arXiv:1212.3247 [hep-ph]
18. Lam C S 2008 Determining horizontal symmetry from neutrino mixing Phys. Rev. Lett. 101 121602 (arXiv:0804.2622 [hep-ph])
19. Lam C S 2008 The unique horizontal symmetry of leptons Phys. Rev. D 78 073015 (arXiv:0809.1185 [hep-ph])
20. Lam C S 2009 A bottom-up analysis of horizontal symmetry arXiv:0907.2206 [hep-ph]
21. 2 symmetry prediction for the leptonic Dirac CP phase Phys. Lett. B 702 220 (arXiv:1104.0602 [hep-ph])
22. D Phys. Rev. Lett. 108 041801 (arXiv:1108.0964 [hep-ph])
23. He H-J and Yin F-R 2011 Common origin of μ - τ and CP breaking in neutrino seesaw, baryon asymmetry, and hidden flavor symmetry Phys. Rev. D 84 033009 (arXiv:1104.2654 [hep-ph])
24. 13 and CP violation Phys. Rev. D 86 111301 (arXiv:1203.2908)
25. de A Toorop R, Feruglio F and Hagedorn C 2011 Discrete flavour symmetries in light of T2K Phys. Lett. B 703 447 (arXiv:1107.3486 [hep-ph])
26. de Adelhart Toorop R, Feruglio F and Hagedorn C 2012 Finite modular groups and lepton mixing Nucl. Phys. B 858 437 (arXiv:1112.1340 [hep-ph])
27. Hernandez D and Smirnov A Y 2012 Lepton mixing and discrete symmetries Phys. Rev. D 86 053014 (arXiv:1204.0445 [hep-ph])
28. Hernandez D and Smirnov A Y 2013 Discrete symmetries and model-independent patterns of lepton mixing Phys. Rev. D 87 053005 (arXiv:1212.2149 [hep-ph])
29. Bo H 2013 Neutrino mixing and discrete symmetries Phys. Rev. D 87 033002 (arXiv:1212.2819 [hep-ph])
30. Lam C S 2013 Finite symmetry of leptonic mass matrices Phys. Rev. D 87 013001 (arXiv:1208.5527 [hep-ph])
31. Holthausen M, Lim K S and Lindner M 2013 Lepton mixing patterns from a scan of finite discrete groups Phys. Lett. B 721 61 (arXiv:1212.2411 [hep-ph])
32. 4 the horizontal symmetry of tri-bimaximal lepton mixing? J. Phys. G: Nucl. Part. Phys. 36 115007 (arXiv:0906.2689 [hep-ph])
33. 9 muon decays? Phys. Lett. B 67 421
34. Yanagida T 1979 Horizontal gauge symmetry and masses of neutrinos Proc. Workshop on Unified Theories and Baryon Number in the Universe (Tsukuba, Japan,) ed O Sawada and A Sugamoto KEK Report KEK-79-18 (Tsukuba: KEK)
35. Glashow S L 1980 The future of elementary particle physics Quarks and Leptons: Proc. Advanced Study Institute (Cargèse, Corsica, 1979) ed M Lévy (New York: Plenum)
36. Gell-Mann M, Ramond P and Slansky R 1979 Complex spinors and unified theories Supergravity ed D Z Freedman and F van Nieuwenhuizen (Amsterdam: North-Holland)
37. Mohapatra R N and Senjanović G 1980 Neutrino mass and spontaneous parity violation Phys. Rev. Lett. 44 912
38. Magg M and Wetterich C 1980 Neutrino mass problem and gauge hierarchy Phys. Lett. B 94 61
39. Lazarides G, Shafi Q and Wetterich C 1981 Proton lifetime and fermion masses in an SO(10) model Nucl. Phys. B 181 287
40. Mohapatra R N and Senjanović G 1981 Neutrino masses and mixings in gauge models with spontaneous parity violation Phys. Rev. D 23 165
41. Mohapatra R N and Pal P 1991 Massive Neutrinos in Physics and Astrophysics (Singapore: World Scientific) p 127
42. Ma E and Sarkar U 1998 Neutrino masses and leptogenesis with heavy Higgs triplets Phys. Rev. Lett. 80 5716 (arXiv:hep-ph/9802445)
43. 4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles J. High Energy Phys. JHEP04(2006)039 (arXiv:hep-ph/0601001)
44. Feruglio F, Hagedorn C, Lin Y and Merlo L 2007 Tri-bimaximal neutrino mixing and quark masses from a discrete flavour symmetry Nucl. Phys. B 775 120 (arXiv:hep-ph/0702194)
45. Blum A, Hagedorn C and Lindner M 2008 Fermion masses and mixings from dihedral flavor symmetries with preserved subgroups Phys. Rev. D 77 076004 (arXiv:0709.3450 [hep-ph])
46. Miller G A, Blichfeldt H F and Dickson L E 1916 Theory and Applications of Finite Groups (New York: Wiley) p 240
47. Conway J H and Jones A J 1976 Trigonometric diophantine equations (On vanishing sums of roots of unity) Acta Arithmetica 30 229
48. Grimus W and Ludl P O 2012 Finite flavour groups of fermions J. Phys. A: Math. Theor. 45 233001 (arXiv:1110:6376 [hep-ph])
49. Ernest M 2006 Neutrino mass matrix from Δ(27) symmetry Mod. Phys. Lett. A 21 1917 (arXiv:hep-ph/0607056) (Pubitemid 44284806)
50. Ernest Ma 2008 Near tribimaximal neutrino mixing with Δ(27) symmetry Phys. Lett. B 660 505 (arXiv:0709.0507 [hep-ph])
51. Ferreira P M, Grimus W, Lavoura L and Ludl P O 2012 Maximal CP violation in lepton mixing from a model with Delta(27) flavour symmetry J. High Energy Phys JHEP09(2012)128 (arXiv:1206.7072 [hep-ph])
52. Ahn Y H, Baek S and Gondolo P 2012 Simple renormalizable flavor symmetry for neutrino oscillations Phys. Rev. D 86 053004 (arXiv:1207.1229 [hep-ph])