CP and discrete flavour symmetries

Journal of High Energy Physics

Volumn 2013, Issue 4, 2013, Pages

  Holthausen, Martin ^a   Lindner, Manfred ^a   Schmidt, Michael A ^b  

^a MAX PLANCK INSTITUT FÜR KERNPHYSIK   (Germany)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Beyond standard model; CP violation; Discrete and finite symmetries; Neutrino physics

Indexed keywords

EID: 84925385343     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2013)122     Document Type: Article

References (64)

1. DOUBLE-CHOOZ collaboration, Y. Abe et al., Indication for the disappearance of reactor electron antineutrinos in the Double CHOOZ experiment, Phys. Rev. Lett. 108 (2012) 131801[arXiv:1112.6353][INSPIRE].
2. DAYA-BAY collaboration, F. An et al., Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108 (2012) 171803[arXiv:1203.1669][INSPIRE].
3. RENO collaboration, J. Ahn et al., Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment, Phys. Rev. Lett. 108 (2012) 191802[arXiv:1204.0626][INSPIRE].
4. G. Branco, J. Gerard and W. Grimus, GEOMETRICAL T VIOLATION, Phys. Lett. B 136 (1984) 383[INSPIRE].
5. I. de Medeiros Varzielas and D. Emmanuel-Costa, Geometrical CP-violation, Phys. Rev. D 84 (2011) 117901[arXiv:1106.5477][INSPIRE].
6. I. de Medeiros Varzielas, D. Emmanuel-Costa and P. Leser, Geometrical CP-violation from Non-Renormalisable Scalar Potentials, Phys. Lett. B 716 (2012) 193[arXiv:1204.3633][INSPIRE].
7. I. de Medeiros Varzielas, Geometrical CP-violation in multi-Higgs models, JHEP 08 (2012) 055[arXiv:1205.3780][INSPIRE].
8. G. Bhattacharyya, I. de Medeiros Varzielas and P. Leser, A common origin of fermion mixing and geometrical CP-violation and its test through Higgs physics at the LHC, Phys. Rev. Lett. 109 (2012) 241603[arXiv:1210.0545][INSPIRE].
9. P. Ferreira, W. Grimus, L. Lavoura and P. Ludl, Maximal CP-violation in Lepton Mixing from a Model with Delta(27) avour Symmetry, JHEP 09 (2012) 128[arXiv:1206.7072][INSPIRE].
10. M.-C. Chen and K. Mahanthappa, Group Theoretical Origin of CP-violation, Phys. Lett. B 681 (2009) 444[arXiv:0904.1721][INSPIRE].
11. A. Meroni, S. Petcov and M. Spinrath, A SUSY SU(5)xT' Unified Model of Flavour with large θ 13, Phys. Rev. D 86 (2012) 113003[arXiv:1205.5241][INSPIRE].
12. T. Lee, A Theory of Spontaneous T Violation, Phys. Rev. D 8 (1973) 1226[INSPIRE].
13. G.C. Branco, Spontaneous CP-violation in Theories with More Than Four Quarks, Phys. Rev. Lett. 44 (1980) 504[INSPIRE].
14. H.E. Haber and Z. Surujon, A Group-theoretic Condition for Spontaneous CP-violation, Phys. Rev. D 86 (2012) 075007[arXiv:1201.1730][INSPIRE].
15. G. Ecker, W. Grimus and W. Konetschny, Quark mass matrices in left-right symmetric gauge theories, Nucl. Phys. B 191 (1981) 465[INSPIRE].
16. G. Ecker, W. Grimus and H. Neufeld, Spontaneous CP-violation in left-right symmetric gauge theories, Nucl. Phys. B 247 (1984) 70[INSPIRE].
17. H. Neufeld, W. Grimus and G. Ecker, Generalized CP invariance, neutral avor conservation and the structure of the mixing matrix, Int. J. Mod. Phys. A 3 (1988) 603[INSPIRE].
18. W. Grimus and M. Rebelo, Automorphisms in gauge theories and the definition of CP and P, Phys. Rept. 281 (1997) 239 [hep-ph/9506272][INSPIRE].
19. P. Harrison and W. Scott, _ μ-τ reection symmetry in lepton mixing and neutrino oscillations, Phys. Lett. B 547 (2002) 219 [hep-ph/0210197][INSPIRE].
20. P. Harrison and W. Scott, Symmetries and generalizations of tri - bimaximal neutrino mixing, Phys. Lett. B 535 (2002) 163[hep-ph/0203209][INSPIRE].
21. P. Harrison and W. Scott, The Simplest neutrino mass matrix, Phys. Lett. B 594 (2004) 324[hep-ph/0403278][INSPIRE].
22. W. Grimus and L. Lavoura, A Nonstandard CP transformation leading to maximal atmospheric neutrino mixing, Phys. Lett. B 579 (2004) 113[hep-ph/0305309][INSPIRE].
23. Y. Farzan and A.Y. Smirnov, Leptonic CP-violation: Zero, maximal or between the two extremes, JHEP 01 (2007) 059[hep-ph/0610337][INSPIRE].
24. A.S. Joshipura, B.P. Kodrani and K.M. Patel, Fermion Masses and Mixings in a mu-tau symmetric SO(10), Phys. Rev. D 79 (2009) 115017[arXiv:0903.2161][INSPIRE].
25. W. Grimus and L. Lavoura, mu-tau Interchange symmetry and lepton mixing, arXiv:1207.1678[INSPIRE].
26. R. Mohapatra and C. Nishi, S4 Flavored CP Symmetry for Neutrinos, Phys. Rev. D 86 (2012) 073007[arXiv:1208.2875][INSPIRE].
27. R. Krishnan, P. Harrison and W. Scott, Simplest Neutrino Mixing from S4 Symmetry, arXiv:1211.2000[INSPIRE].
28. F. Feruglio, C. Hagedorn and R. Ziegler, Lepton Mixing Parameters from Discrete and CP Symmetries, arXiv:1211.5560[INSPIRE].
29. 29][ K.S. Babu and J. Kubo, Dihedral families of quarks, leptons and Higgses, Phys. Rev. D 71 (2005) 056006[hep-ph/0411226][INSPIRE].
30. K. Babu, K. Kawashima and J. Kubo, Variations on the Supersymmetric Q6 Model of Flavor, Phys. Rev. D 83 (2011) 095008[arXiv:1103.1664][INSPIRE].
31. GAP, GAP-Groups, Algorithms, and Programming, Version 4.5.5, The GAP Group (2012), http://www.gap-system.org.
32. H. U. Besche, B. Eick, and E. O'Brien, SmallGroups - library of all 'small' groups, GAP package, Version included in GAP 4.5.5, The GAP Group (2002), http://www.gap-system.org/Packages/sgl.html.
33. W. Fairbairn and T. Fulton, Some comments on finite subgroups of SU(3), J. Math. Phys. 23 (1982) 1747[INSPIRE].
34. W. Grimus and P.O. Ludl, Finite avour groups of fermions, J. Phys. A 45 (2012) 233001[arXiv:1110.6376][INSPIRE].
35. H. Ishimori et al., An introduction to non-Abelian discrete symmetries for particle physicists, Lect. Notes Phys. 858 (2012) 1.
36. G. Branco et al., Theory and phenomenology of two-Higgs-doublet models, Phys. Rept. 516 (2012) 1[arXiv:1106.0034][INSPIRE].
37. G. Ecker, W. Grimus and H. Neufeld, A standard form for generalized CP transformations, J. Phys. A 20 (1987) L807[INSPIRE].
38. M. Gronau, A. K_r and R. Loewy, Basis independent tests of CP-violation in fermion mass matrices, Phys. Rev. Lett. 56 (1986) 1538[INSPIRE].
39. J. Bernabeu, G. Branco and M. Gronau, CP restrictions on quark mass matrices, Phys. Lett. B 169 (1986) 243[INSPIRE].
40. G. Branco, L. Lavoura and M. Rebelo, Majorana neutrinos and CP-violation in the leptonic sector, Phys. Lett. B 180 (1986) 264[INSPIRE].
41. E. Ma and G. Rajasekaran, Softly broken A4 symmetry for nearly degenerate neutrino masses, Phys. Rev. D 64 (2001) 113012[hep-ph/0106291][INSPIRE].
42. R. de Adelhart Toorop, F. Bazzocchi, L. Merlo and A. Paris, Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential, JHEP 03 (2011) 035 [Erratum 1301 (2013) 098][arXiv:1012.1791][INSPIRE].
43. P. Ferreira and L. Lavoura, Seesaw Neutrino Masses from an A4 Model with Two Equal Vacuum expectation values, arXiv:1111.5859[INSPIRE].
44. A. Machado, J. Montero and V. Pleitez, Three-Higgs-doublet model with A4 symmetry, Phys. Lett. B 697 (2011) 318[arXiv:1011.5855][INSPIRE].
45. R. de Adelhart Toorop, F. Bazzocchi, L. Merlo and A. Paris, Constraining Flavour Symmetries At The EW Scale I: The A4 Higgs Potential, JHEP 03 (2011) 035 [Erratum 1301 (2013) 098][arXiv:1012.1791][INSPIRE].
46. G. Altarelli and F. Feruglio, Tri-bimaximal neutrino mixing, A4 and the modular symmetry, Nucl. Phys. B 741 (2006) 215[hep-ph/0512103][INSPIRE].
47. R. de Adelhart Toorop, A Flavour of family symmetries in a family of avour models, PhD. thesis, Nikhef (2012).
48. I. Ivanov and E. Vdovin, Classi_cation of _nite reparametrization symmetry groups in the three-Higgs-doublet model, Eur. Phys. J. C 73 (2013) 2309[arXiv:1210.6553][INSPIRE].
49. A. Degee, I.P. Ivanov and V. Keus, Geometric minimization of highly symmetric potentials, JHEP 02 (2013) 125[arXiv:1211.4989][INSPIRE].
50. P. Frampton and T. Kephart, Simple nonAbelian _nite avor groups and fermion masses, Int. J. Mod. Phys. A 10 (1995) 4689[hep-ph/9409330][INSPIRE].
51. F. Feruglio, C. Hagedorn, Y. Lin and L. Merlo, Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry, Nucl. Phys. B 775 (2007) 120 [Erratum 836 (2010) 127-128][hep-ph/0702194][INSPIRE].
52. S. Antusch, S.F. King, C. Luhn and M. Spinrath, Right Unitarity Triangles and Tri-Bimaximal Mixing from Discrete Symmetries and Unification, Nucl. Phys. B 850 (2011) 477[arXiv:1103.5930][INSPIRE].
53. I. de Medeiros Varzielas, S. King and G. Ross, Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry, Phys. Lett. B 648 (2007) 201[hep-ph/0607045][INSPIRE].
54. K.M. Parattu and A. Wingerter, Tribimaximal Mixing From Small Groups, Phys. Rev. D 84 (2011) 013011[arXiv:1012.2842][INSPIRE].
55. M. Holthausen and M.A. Schmidt, Natural Vacuum Alignment from Group Theory: The Minimal Case, JHEP 01 (2012) 126[arXiv:1111.1730][INSPIRE].
56. M. Holthausen, M. Lindner and M.A. Schmidt, Lepton avor at the electroweak scale: A complete A4 model, Phys. Rev. D 87 (2013) 033006[arXiv:1211.5143][INSPIRE].
57. S. Pakvasa and H. Sugawara, Discrete Symmetry and Cabibbo Angle, Phys. Lett. B 73 (1978) 61[INSPIRE].
58. S. Pakvasa and H. Sugawara, Mass of the t Quark in SU(2) x U(1), Phys. Lett. B 82 (1979) 105[INSPIRE].
59. 59][ S.L. Adler, Model for particle masses, avor mixing and CP-violation, based on spontaneously broken discrete chiral symmetry as the origin of families, Phys. Rev. D 59 (1999) 015012 [Erratum D 59 (1999) 099902][hep-ph/9806518][INSPIRE].
60. C. Luhn, S. Nasri and P. Ramond, Tri-bimaximal neutrino mixing and the family symmetry semidirect product of Z(7) and Z(3), Phys. Lett. B 652 (2007) 27[arXiv:0706.2341][INSPIRE].
61. C. Hagedorn, M.A. Schmidt and A.Y. Smirnov, Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T(7) and Sigma(81), Phys. Rev. D 79 (2009) 036002[arXiv:0811.2955][INSPIRE].
62. I. de Medeiros Varzielas, S. King and G. Ross, Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry, Phys. Lett. B 644 (2007) 153[hep-ph/0512313][INSPIRE].
63. C. Luhn, S. Nasri and P. Ramond, The Flavor group ∆ (3n2), J. Math. Phys. 48 (2007) 073501[hep-th/0701188][INSPIRE].
64. J. Escobar and C. Luhn, The Flavor Group ∆ (6n2), J. Math. Phys. 50 (2009) 013524 [arXiv:0809.0639][INSPIRE].