Models of neutrino masses: Anarchy versus hierarchy

Journal of High Energy Physics

Volumn 7, Issue 1, 2003, Pages 777-800

  Altarelli, Guido ^a   Feruglio, Ferruccio ^b   Masina, Isabella ^c  

^a CERN   (Switzerland)

^b UNIVERSITY OF PADOVA   (Italy)

^c CEA SACLAY   (France)

Author keywords

Beyond Standard Model; GUT; Neutrino Physics

Indexed keywords

EID: 23144444470     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/01/035     Document Type: Article

References (104)

1. For a review, see: G. Altaxelli and F. Feruglio, Theoretical models of neutrino masses and mixings, hep-ph/0206077.
2. A. Strumia, C. Cattadori, N. Ferrari and F. Vissani, Which solar neutrino data favour the LMA solution?, Phys. Lett. B 541 (2002) 327 [hep-ph/0205261].
3. KAMLAND collaboration, S.A. Dazeley, An update on progress at KamLAND, hep-ex/0205041.
4. e appearance in a V̄μ beam, Phys. Rev. D 64 (2001) 112007 [hep-ex/0104049].
5. KARMEN collaboration, K. Eitel, Latest results of the Karmen2 experiment, Nucl. Phys. 91 (Proc. Suppl.) (2000) 191 [hep-ex/0008002].
6. P. Spentzouris, Short baseline projects, Nucl. Phys. 100 (Proc. Suppl.) (2001) 163.
7. C.H. Albright and S.M. Barr, Fermion masses in SO (10) with a single adjoint Higgs field, Phys. Rev. D 58 (1998) 013002 [hep-ph/9712488];
8. C.H. Albright, K.S. Babu and S.M. Barr, A minimality condition and atmospheric neutrino oscillations, Phys. Rev. Lett. 81 (1998) 1167 [hep-ph/9802314];
9. N. Irges, S. Lavignac and P. Ramond, Predictions from an anomalous U(1) model of Yukawa hierarchies, Phys. Rev. D 58 (1998) 035003 [hep-ph/9802334];
10. G. Altarelli and F. Feruglio, Neutrino mass textures from oscillations with maximal mixing, Phys. Lett. B 439 (1998) 112 [hep-ph/9807353];
11. Models of neutrino masses from oscillations with maximal mixing, J. High Energy Phys. 11 (1998) 021 [hep-ph/9809596];
12. P.H. Frampton and A. Rasin, Nonabelian discrete symmetries, fermion mass textures and large neutrino mixing, Phys. Lett. B 478 (2000) 424 [hep-ph/9910522].
13. A.Y. Smirnov, Seesaw enhancement of lepton mixing, Phys. Rev. D 48 (1993) 3264 [hep-ph/9304205];
14. S.F. King, Atmospheric and solar neutrinos with a heavy singlet, Phys. Lett. B 439 (1998) 350 [hep-ph/9806440];
15. S. Davidson and S. F. King, Bimaximal neutrino mixing in the MSSM with a single right-handed neutrino, Phys. Lett. B 445 (1998) 191 [hep- th/9808296];
16. Q. Shafi and Z. Tavartkiladze, Neutrino mixings and fermion masses in supersymmetric SU(5), Phys. Lett. B 451 (1999) 129 [hep-ph/9901243];
17. G. Altarelli, F. Feruglio and I. Masina, Large neutrino mixing from small quark and lepton mixings, Phys. Lett. B 472 (2000) 382 [hep-ph/9907532];
18. S.F. King, Atmospheric and solar neutrinos from single right-handed neutrino dominance and U(1) family symmetry, Nucl. Phys. B 562 (1999) 57 [hep-ph/9904210];
19. Large mixing angle msw and atmospheric neutrinos from single right-handed neutrino dominance and U(1)family symmetry, Nucl. Phys. B 576 (2000) 85 [hep-ph/9912492];
20. Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance, J. High Energy Phys. 09 (2002) O11 [hep-ph/0204360].
21. The HEIDELBERG-MOSCOW collaboration, H.V. Klapdor- Kleingrothaus et al., Latest results from the Heidelberg-Moscow double-beta-decay experiment, Eur. Phys. J. A12 (2001) 147 [hep-ph/0103062];
22. 16EX collaboration, C.E. Aalseth et al., The IGEX Ge-76 neutrinoless double-beta decay experiment: prospects for next generation experiments, Phys. Rev. D 65 (2002) 092007 [hep-ex/0202026];
23. H.V. Klapdor-Kleingrothaus et al., Mod. Phys. Lett. A 37 (2001) 2409;
24. See also: C.E. Aalseth et al., Comment on 'evidence for neutrinoless double beta decay', Mod. Phys. Lett. A 17 (2002) 1475 [hep-ex/0202018];
25. and appendix of F. Feruglio, A. Strumia and F. Vissani, Neutrino oscillations and signals in β and 0v2β experiments, Nucl. Phys. B 637 (2002) 345 [hep- ph/0201291].
26. F. Vissani, A study of the scenario with nearly degenerate majorana neutrinos, hep-ph/9708483;
27. H. Georgi and S.L. Glashow, Neutrinos on earth and in the heavens, Phys. Rev. D 61 (2000) 097301 [hep-ph/9808293].
28. L.J. Hall, H. Murayama and N. Weiner, Neutrino mass anarchy, Phys. Rev. Lett. 84 (2000) 2572 [hep-ph/9911341].
29. CHOOZ collaboration, M. Apollonio et al., Limits on neutrino oscillations from the Chooz experiment, Phys. Lett. B 466 (1999) 415 [hep-ex/9907037];
30. see also PALO VERDE collaboration, F. Boehm et al., Search for neutrino oscillations at the Palo Verde nuclear reactors, Phys. Rev. Lett. 84 (2000) 3764 [hep-ex/9912050].
31. C.D. Froggatt and H.B. Nielsen, Hierarchy of quark masses, cabibbo angles and CP-violation, Nucl. Phys. B 147 (1979) 277.
32. 3, Phys. Lett. B 430 (1998) 127 [hep-ph/9710516];
33. J.K. Elwood, N. Irges and P. Ramond, Family symmetry and neutrino mixing, Phys. Rev. Lett. 81 (1998) 5064 [hep-ph/9807228];
34. Z. Berezhiani and A. Rossi, Grand unified textures for neutrino and quark mixings, J. High Energy Phys. 03 (1999) 002 [hep-ph/9811447];
35. G. Altarelli and F. Feruglio, A simple grand unification view of neutrino mixing and fermion mass matrices, Phys. Lett. B 451 (1999) 388 [hep-ph/9812475];
36. 6 unification, Prog. Theor. Phys. 101 (1999) 1313 [hep-ph/9902204];
37. G. Altarelli, F. Feruglio and I. Masina, From minimal to realistic supersymmetric SU(5) grand unification, J. High Energy Phys. 11 (2000) 040 [hep-ph/0007254];
38. I. Masina, The problem of neutrino masses in extensions of the standard model, Int. J. Mod. Phys. A 16 (2001) 5101 [hep-ph/0107220].
39. See also: J. Bijnens and C. Wetterich, Quark, lepton and neutrino masses in grand unified theories with local generation group, Nucl. Phys. B 292 (1987) 443;
40. M. Leurer, Y. Nir and N. Seiberg, Mass matrix models, Nucl. Phys. B 398 (1993) 319 [hep-ph/9212278];
41. Mass matrix models: the sequel, Nucl. Phys. B 420 (1994) 468 [hep- ph/9310320];
42. L.E. Ibáñez and G.G. Ross, Fermion masses and mixing angles from gauge symmetries, Phys. Lett. B 332 (1994) 100 [hep-ph/9403338];
43. P. Binetruy and P. Ramond, Yukawa textures and anomalies, Phys. Lett. B 350 (1995) 49 [hep-ph/9412385];
44. E. Dudas, S. Pokorski and C.A. Savoy, Yukawa matrices from a spontaneously broken abelian symmetry, Phys. Lett. B 356 (1995) 45 [hep-ph/9504292];
45. K. Hagiwara and N. Okamura, Quark and lepton flavor mixings in the SU(5) grand unification theory, Nucl. Phys. B 548 (1999) 60 [hep-ph/9811495];
46. G.K. Leontaris and J. Rizos, New fermion mass textures from anomalous U(1) symmetries with baryon and lepton number conservation, Nucl. Phys. B 567 (2000) 32 [hep-ph/9909206];
47. H gauge model of flavor, Phys. Rev. D 62 (2000) 016002 [hep-ph/9911212];
48. P. Binetruy, S. Lavignac and P. Ramond, Yukawa textures with an anomalous horizontal abelian symmetry, Nucl. Phys. B 477 (1996) 353 [hep-ph/9601243];
49. P. Binetruy, S. Lavignac, S.T. Petcov and P. Ramond, Quasi-degenerate neutrinos from an abelian family symmetry, Nucl. Phys. B 496 (1997) 3 [hep-ph/9610481];
50. Z. Berezhiani and Z. Tavartkiladze, Anomalous U(1) symmetry and missing doublet SU(5) model, Phys. Lett. B 396 (1997) 150 [hep-ph/9611277];
51. M. Jezabek and Y. Sumino, Neutrino mixing and seesaw mechanism, Phys. Lett. B 440 (1998) 327 [hep-ph/9807310];
52. Y. Grossman, Y. Nir and Y. Shadmi, Large mixing and large hierarchy between neutrinos with abelian flavor symmetries, J. High Energy Phys. 10 (1998) 007 [hep- ph/9808355];
53. W. Buchmuller and T. Yanagida, Quark lepton mass hierarchies and the baryon asymmetry, Phys. Lett. B 445 (1999) 399 [hep-ph/9810308];
54. 2 model, Phys. Lett. B 446 (1999) 256 [hep-ph/9811265];
55. K. Choi, K. Hwang and E.J. Chun, Atmospheric and solar neutrino masses from horizontal U(1) symmetry, Phys. Rev. D 60 (1999) 031301 [hep-ph/9811363];
56. S. Lola and G.G. Ross, Neutrino masses from U(1) symmetries and the super-Kamiokande data, Nucl. Phys. B 553 (1999) 81 [hep-ph/9902283];
57. Y. Nir and Y. Shadmi, Testing abelian flavor symmetries with neutrino parameters, J. High Energy Phys. 05 (1999) 023 [hep-ph/9902293];
58. B. Stech, A predictive minimal model for neutrino masses and mixings, Phys. Rev. D 62 (2000) 093019 [hep-ph/0006076];
59. S.F. King and M. Oliveira, Neutrino masses and mixing angles in a realistic string-inspired model, Phys. Rev. D 63 (2001) 095004 [hep-ph/0009287];
60. M. Tanimoto, Large mixing angle MSW solution in U(1) flavor symmetry, Phys. Lett. B 501 (2001) 231 [hep-ph/0010088];
61. 6 unification with bi-large neutrino mixing, Prog. Theor. Phys. 106 (2001) 1255 [hep-ph/0109018];
62. H.B. Nielsen and Y. Takanishi, A neutrino mass matrix model with many quantum charges and no SUSY, Phys. Scripta T93 (2001) 44 [hep-ph/0101181];
63. W. Grimus and L. Lavoura, Softly broken lepton numbers and maximal neutrino mixing, J. High Energy Phys. 07 (2001) 045 [hep-ph/0105212];
64. Soft lepton-flavor violation in a multi-higgs-doublet seesaw model, Phys. Rev. D 66 (2002) 014016 [hep- ph/0204070].
65. For related works, see: N. Haba and H. Murayama, Anarchy and hierarchy, Phys. Rev. D 63 (2001) 053010 [hep-ph/0009174];
66. M. Hirsch, Comment on: neutrino mass anarchy, hep-ph/0102102;
67. M. Hirsch and S.F. King, Discriminating neutrino mass models, Phys. Lett. B 516 (2001) 103 [hep-ph/0102103];
68. F. Vissani, Expected properties of massive neutrinos for mass matrices with a dominant block and random coefficients order unity, Phys. Lett. B 508 (2001) 79 [hep- ph/0102236];
69. R. Rosenfeld and J.L. Rosner, Hierarchy and anarchy in quark mass matrices, or can hierarchy tolerate anarchy?, Phys. Lett. B 516 (2001) 408 [hep- ph/0106335];
70. F. Vissani, A statistical approach to leptonic mixings and neutrino masses, hep-ph/0111373;
71. V. Antonelli, F. Caravaglios, R. Ferrari and M. Picariello, Neutrino masses and non abelian horizontal symmetries, Phys. Lett. B 549 (2002) 325 [hep-ph/0207347].
72. R. Barbieri, L.J. Hall, D.R. Smith, A. Strumia and N. Weiner, Oscillations of solar and atmospheric neutrinos, J. High Energy Phys. 12 (1998) 017 [hep- ph/9807235];
73. R. Barbieri, L.J. Hall and A. Strumia, Textures for atmospheric and solar neutrino oscillations, Phys. Lett. B 445 (1999) 407 [hep-ph/9808333];
74. See also Ya. B. Zeldovich, Dok. Akad. Nauk. CCCP 86 (1952) 505;
75. E.J. Konopinsky and H. Mahmound, The universal Fermi interaction, Phys. Rev. 92 (1953) 1045;
76. A. Zee, A theory of lepton number violation, neutrino Majorana mass and oscillation, Phys. Lett. B 93 (1980) 389;
77. S. Petcov, On pseudodirac neutrinos, neutrino oscillations and neutrinoless double beta decay, Phys. Lett. B 110 (1982) 245;
78. A.S. Joshipura and S.D. Rindani, Vacuum solutions of neutrino anomalies through a softly broken U(1) symmetry, Eur. Phys. J. C 14 (2000) 85 [hep-ph/9811252];
79. R.N. Mohapatra, A. Perez-Lorenzana and C.A. de Sousa Pires, Type II seesaw and a gauge model for the bimaximal mixing explanation of neutrino puzzles, Phys. Lett. B 474 (2000) 355 [hep-ph/9911395];
80. Q. Shafi and Z. Tavartkiladze, Anomalous flavor U(l) : predictive texture for bi-maximal neutrino mixing, Phys. Lett. B 482 (2000) 145 [hep-ph/0002150];
81. Bi- maximal neutrino mixing and anomalous flavor U(1), hep-ph/0101350;
82. A. Ghosal, A two parameter texture of nearly bi-maximal neutrino mixing, Phys. Rev. D 62 (2000) 092001 [hep-ph/0004171];
83. L. Lavoura, New model for the neutrino mass matrix, Phys. Rev. D 62 (2000) 093011 [hep-ph/0005321];
84. e - Lμ- Lτ, J. High Energy Phys. 09 (2000) 007 [hep-ph/0008020];
85. W. Grimus and L. Lavoura, A neutrino mass matrix with seesaw mechanism and two-loop mass splitting, Phys. Rev. D 62 (2000) 093012 [hep-ph/0007011];
86. S.F. King and N.N. Singh, Inverted hierarchy models of neutrino masses, Nucl. Phys. B 596 (2001) 81 [hep-ph/0007243];
87. J.F. Oliver and A. Santamaria, Neutrino masses from operator mixing, Phys. Rev. D 65 (2002) 033003 [hep-ph/0108020];
88. K.S. Babu and R.N. Mohapatra, Predictive schemes for bimaximal neutrino mixings, Phys. Lett. B 532 (2002) 77 [hep-ph/0201176].
89. T. Yanagida, in Proc. of the Workshop on unified theory and baryon number in the universe, KEK, March 1979;
90. M. Gell-Mann, P. Ramond and R. Slansky, in Supergravity, Stony Brook, Sept 1979;
91. R. Mohapatra and G. Senjanovic, Neutrino mass and spontaneous parity violation, Phys. Rev. Lett. 44 (1980) 912.
92. G.L. Fogli, E. Lisi, D. Montanino and A. Palazzo, Model-dependent and independent implications of the first sudbury neutrino observatory results, Phys. Rev. D 64 (2001) 093007 [hep-ph/0106247];
93. J.N. Bahcall, M.C. Gonzalez-Garcia and C. Peña-Garay, Global analysis of solar neutrino oscillations including SNO CC measurement, J. High Energy Phys. 08 (2001) 014 [hep-ph/0106258];
94. Robust signatures of solar neutrino oscillation solutions, J. High Energy Phys. 04 (2002) 007 [hep-ph/0111150];
95. V. Barger, D. Marfatia, K. Whisnant and B.P. Wood, Imprint of SNO neutral current data on the solar neutrino problem, Phys. Lett. B 537 (2002) 179 [hep- ph/0204253];
96. A. Bandyopadhyay, S. Choubey, S. Goswami and O.P. Roy, Implications of the first neutral current data from SNO for solar neutrino oscillation, Phys. Lett. B 540 (2002) 14 [hep-ph/0204286];
97. J.N. Bahcall, M.C. Gonzalez-Garcia and C. Pena-Garay, Before and after: how has the SNO neutral current measurement changed things?, J. High Energy Phys. 07 (2002) 054 [hep-ph/0204314];
98. P. Aliani, V. Antonelli, R. Ferrari, M. Picariello and E. Torrente-Lujan, Determination of neutrino mixing parameters after SNO oscillation evidence, hep- ph/0205053;
99. G.L. Fogli, E. Lisi and A. Marrone, Super-Kamiokande atmospheric neutrinos: status of subdominant oscillations, Phys. Rev. D 64 (2001) 093005 [hep-ph/0105139];
100. M.C. Gonzalez-Garcia, M. Maltoni and C. Pena-Garay, Update on solar and atmospheric four-neutrino oscillations, hep-ph/0108073;
101. M.C. Gonzalez-Garcia and Y. Nir, Developments in neutrino physics, hep- ph/0202058;
102. G. Fogli and E. Lisi in Neutrino mass, Springer Tracts in Modern Physics, G. Altarelli and K. Winter eds.;
103. G.L. Fogli, G. Lettera, E. Lisi, A. Marrone, A. Palazzo and A. Rotunno, Three-flavor solar neutrino oscillations with terrestrial neutrino constraints, Phys. Rev. D 66 (2002) 093008 [hep-ph/0208026].
104. S. Lavignac, I. Masina and C.A. Savoy, Large solar angle and seesaw mechanism: a bottom-up perspective, Nucl. Phys. B 633 (2002) 139 [hep-ph/0202086].