What does μ-τ symmetry imply about neutrino mixings?

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 73, Issue 5, 2006, Pages

  Fuki, Kenichi ^a   Yasuè, Masaki ^b  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b TOKAI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645220044     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.73.055014     Document Type: Article

References (105)

1. Y. Fukuda (Super-Kamiokande Collaboration), Phys. Rev. Lett. 81, 1562 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.1562
2. Y. Fukuda (Super-Kamiokande Collaboration) Phys. Rev. Lett. 82, 2430 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.82.2430
3. T. Kajita for the collaboration, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 77, 123 (1999). 10.1016/S0920-5632(99)00407-7
4. See also, T. Kajita and Y. Totsuka, Rev. Mod. Phys. 73, 85 (2001). RMPHAT 0034-6861 10.1103/RevModPhys.73.85
5. Y. Suzuki, "
6. A. Poon,
7. J.N. Bahcall, W.A. Fowler, I. Iben, and R.L. Sears, Astrophys. J. ASJOAB 0004-637X 137, 344 (1963); 10.1086/147513
8. J. Bahcall, Phys. Rev. Lett. 12, 300 (1964); PRLTAO 0031-9007 10.1103/PhysRevLett.12.300
9. R. Davis, Jr., Phys. Rev. Lett. 12, 303 (1964); PRLTAO 0031-9007 10.1103/PhysRevLett.12.303
10. R. Davis, Jr., D.S. Harmer, and K.C. Hoffman, Phys. Rev. Lett. 20, 1205 (1968); PRLTAO 0031-9007 10.1103/PhysRevLett.20.1205
11. J.N. Bahcall, N.A. Bahcall, and G. Shaviv, Phys. Rev. Lett. 20, 1209 (1968); PRLTAO 0031-9007 10.1103/PhysRevLett.20.1209
12. J.N. Bahcall and R. Davis, Jr., Science 191, 264 (1976). SCIEAS 0036-8075
13. Y. Fukuda (Super-Kamiokande Collaboration), Phys. Rev. Lett. 81, 1158 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.1158
14. Y. Fukuda (Super-Kamiokande Collaboration) Phys. Rev. Lett. 81, 4279(E) (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.4279
15. B.T. Clevel, Astrophys. J. ASJOAB 0004-637X 496, 505 (1998); 10.1086/305343
16. W. Hampel (GNO Collaboration), Phys. Lett. B 447, 127 (1999); PYLBAJ 0370-2693 10.1016/S0370-2693(98)01579-2
17. Q.A. Ahmed (SNO Collaboration), Phys. Rev. Lett. 87, 071301 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87.071301
18. Q.A. Ahmed. Phys. Rev. Lett. 89, 011301 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.011301
19. S.H. Ahn, (K2K Collaboration), Phys. Lett. B 511, 178 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)00647-5
20. S.H. Ahn Phys. Rev. Lett. 90, 041801 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.041801
21. M. Apollonio, (CHOOZ Collaboration), Eur. Phys. J. C EPCFFB 1434-6044 27, 331 (2003); 10.1140/epjc/s2002-01127-9
22. K. Eguchi, (KamLAND Collaboration), Phys. Rev. Lett. 90, 021802 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.021802
23. K. Inoue (KamLAND Collaboration), New J. Phys. NJOPFM 1367-2630 6, 147 (2004); 10.1088/1367-2630/6/1/147
24. G.L. Fogli, E. Lisi, A. Marrone, and A. Palazzo, hep-ph/0506083;
25. See also, R.N. Mohapatra, hep-ph/0412099;
26. S. Goswami, A. Bandyopadhyay, and S. Choubey, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 143, 121 (2005); 10.1016/j.nuclphysbps.2005.01.096
27. G. Altarelli, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 143, 470 (2005); 10.1016/j.nuclphysbps.2005.01.146
28. A. Bandyopadhyay, Phys. Lett. B 608, 115 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2004.12.079
29. O. Mena and S. Parke, Phys. Rev. D 69, 117301 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.117301
30. G. 't Hooft, in Recent Development in Gauge Theories: Proceedings of the Cargese Summer Institute, edited by, G. 't Hooft,,, NATO Advanced Study Institutes Series: Series B, Physics Vol. 59 (Plenum Press, New York, 1980), p. 135.
31. See, for example, A.Yu. Smirnov, hep-ph/0512303.
32. S.T. Petcov, Phys. Lett. B 110, 245 (1982); PYLBAJ 0370-2693 10.1016/0370-2693(82)91246-1
33. C.N. Leung and S.T. Petcov, Phys. Lett. B 125, 461 (1983); PYLBAJ 0370-2693 10.1016/0370-2693(83)91326-6
34. A. Zee, Phys. Lett. B 161, 141 (1985). PYLBAJ 0370-2693 10.1016/0370-2693(85)90625-2
35. R. Barbieri, L.J. Hall, D. Smith, N.J. Weiner, and A. Strumia, J. High Energy Phys. JHEPFG 1029-8479 12 (1998) 017. 10.1088/1126-6708/1998/12/017
36. T. Fukuyama and H. Nishiura, in Proceedings of International Workshop on Masses and Mixings of Quarks and Leptons, edited by, Y. Koide, (World Scientific, Singapore, 1997), p. 252;
37. T. Fukuyama H. Nishiura hep-ph /9702253;
38. Y. Koide, H. Nishiura, K. Matsuda, T. Kikuchi, and T. Fukuyama, Phys. Rev. D 66, 093006 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.093006
39. Y. Koide, Phys. Rev. D 69, 093001 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.69.093001
40. K. Matsuda and H. Nishiura, Phys. Rev. D 69, 117302 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.69.117302
41. K. Matsuda H. Nishiura Phys. Rev. D 71, 073001 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.073001
42. K. Matsuda H. Nishiura Phys. Rev. D 72, 033011 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.033011
43. K. Matsuda H. Nishiura Phys. Rev. D 73, 013008 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.013008
44. R.N. Mohapatra and S. Nussinov, Phys. Rev. D 60, 013002 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.60.013002
45. C.S. Lam, Phys. Lett. B 507, 214 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)00465-8
46. C.S. Lam Phys. Rev. D 71, 093001 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.093001
47. E. Ma and M. Raidal, Phys. Rev. Lett. 87, 011802 (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87.011802
48. E. Ma M. Raidal Phys. Rev. Lett. 87, 159901(E) (2001); PRLTAO 0031-9007 10.1103/PhysRevLett.87.159901
49. A. Datta and P.J. O'Donnell, Phys. Rev. D 72, 113002 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.113002
50. T. Kitabayashi and M. Yasuè, Phys. Lett. B 524, 308 (2002); PYLBAJ 0370-2693 10.1016/S0370-2693(01)01368-5
51. T. Kitabayashi M. Yasuè Int. J. Mod. Phys. A 17, 2519 (2002); IMPAEF 0217-751X 10.1142/S0217751X02010959
52. T. Kitabayashi M. Yasuè Phys. Rev. D 67, 015006 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.67.015006
53. I. Aizawa, M. Ishiguro, T. Kitabayashi, and M. Yasuè, Phys. Rev. D 70, 015011 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.015011
54. I. Aizawa, T. Kitabayashi, and M. Yasuè, Phys. Rev. D 71, 075011 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.075011
55. W. Grimus and L. Lavoura, J. High Energy Phys. JHEPFG 1029-8479 07 (2001) 045; 10.1088/1126-6708/2001/07/045
56. W. Grimus L. Lavoura Eur. Phys. J. C EPCFFB 1434-6044 28, 123 (2003); 10.1140/epjc/s2003-01135-3
57. W. Grimus L. Lavoura Phys. Lett. B 572, 189 (2003); PYLBAJ 0370-2693 10.1016/j.physletb.2003.08.032
58. W. Grimus L. Lavoura Phys. Lett. B 579, 113 (2004); PYLBAJ 0370-2693 10.1016/j.physletb.2003.10.075
59. W. Grimus L. Lavoura J. Phys. G JPGPED 0954-3899 30, 1073 (2004); 10.1088/0954-3899/30/9/008
60. W. Grimus L. Lavoura J. High Energy Phys. JHEPFG 1029-8479 08 (2005) 013; 10.1088/1126-6708/2005/08/013
61. W. Grimus L. Lavoura J. High Energy Phys. JHEPFG 1029-8479 08 (2005) 013; 10.1088/1126-6708/2005/08/013
62. W. Grimus, A.S. Joshipura, S. Kaneko, L. Lavoura, and M. Tanimoto, J. High Energy Phys. JHEPFG 1029-8479 07 (2004) 078; 10.1088/1126-6708/2004/07/078
63. W. Grimus, A.S. Joshipura, S. Kaneko, L. Lavoura, H. Sawanaka, and M. Tanimoto, Nucl. Phys. NUPBBO 0550-3213 B713, 151 (2005); 10.1016/j.nuclphysb. 2005.01.049
64. M. Tanimoto, in Proceedings of XXXXth Rencontres de Moriond: Electroweak Interactions and Unified Theories, La Thuile, Italy, 2005 (unpublished).
65. R.N. Mohapatra, J. High Energy Phys. JHEPFG 1029-8479 10 (2004) 027; 10.1088/1126-6708/2004/10/027
66. R.N. Mohapatra and S. Nasri, Phys. Rev. D 71, 033001 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.033001
67. R.N. Mohapatra, S. Nasri, and Hai-Bo Yu, Phys. Lett. B 615, 231 (2005); PYLBAJ 0370-2693
68. R.N. Mohapatra S. Nasri Hai-Bo Yu Phys. Rev. D 72, 033007 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.033007
69. See, for example, W. Grimus and L. Lavoura, J. High Energy Phys. JHEPFG 1029-8479 07 (2001) 045; 10.1088/1126-6708/2001/07/045
70. W. Grimus L. Lavoura J. Phys. G JPGPED 0954-3899 30, 73 (2004) in Ref.; 10.1088/0954-3899/30/2/007
71. E. Ma and G. Rajasekaran, Phys. Rev. D 68, 071302 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.68.071302
72. R.N. Mohapatra, in Ref.
73. K. Matsuda and H. Nishiura, in Ref.
74. W. Grimus, A.S. Joshipura, S. Kaneko, L. Lavoura, H. Sawanaka, and M. Tanimoto, Nucl. Phys. B NUPBBO 0550-3213 713, 151 (2005) in Ref.. 10.1016/j.nuclphysb.2005.01.049
75. W. Grimus and L. Lavoura, in Ref.
76. R.N. Mohapatra, S. Nasri, and Hai-Bo Yu, hep-ph/0603020.
77. K. Fuki and M. Yasuè (to be published).
78. B. Pontecorvo, Zh. Eksp. Teor. Fiz. 34, 247 (1957); ZETFA7 0044-4510
79. [B. Pontecorvo Sov. Phys. JETP 7, 172 (1958)]; SPHJAR 0038-5646
80. Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys. 28, 870 (1962). PTPKAV 0033-068X 10.1143/PTP.28.870
81. R.N. Mohapatra, in Ref.
82. A. de Gouvèa, Phys. Rev. D 69, 093007 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.69.093007
83. W. Grimus, A.S. Joshipura, S. Kaneko, L. Lavoura, H. Sawanaka, and M. Tanimoto, in Ref.
84. M. Tanimoto, in Ref.
85. R.N. Mohapatra and W. Rodejohann, Phys. Rev. D 72, 053001 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.053001
86. F. Plentinger and W. Rodejohann, Phys. Lett. B 625, 264 (2005); PYLBAJ 0370-2693 10.1016/j.physletb.2005.08.092
87. I. Aizawa and M. Yasuè, Phys. Rev. D 73, 015002 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.015002 055014
88. K. Fuki and M. Yasuè (to be published).
89. W. Grimus, A.S. Joshipura, S. Kaneko, L. Lavoura, H. Sawanaka, and M. Tanimoto, in Ref.
90. T. Kitabayashi and M. Yasuè, Phys. Lett. B 621, 133 (2005); PYLBAJ 0370-2693 10.1016/j.physletb.2005.06.052
91. I. Aizawa, T. Kitabayashi, and M. Yasuè, Phys. Rev. D 72, 055014 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.055014
92. I. Aizawa T. Kitabayashi M. Yasuè Nucl. Phys. NUPBBO 0550-3213 B728, 220 (2005); 10.1016/j.nuclphysb.2005.09.016
93. I. Aizawa and M. Yasuè, in Ref.
94. R.N. Mohapatra and W. Rodejohann, in Ref.
95. K. Matsuda and H. Nishiura, Talk give at the 2005 JPS Fall Meeting, Osaka City University, Osaka, Japan (2005);
96. W. Grimus, S. Kaneko, L. Lavoura, H. Sawanaka, and M. Tanimoto, J. High Energy Phys. JHEPFG 1029-8479 01 (2006) 110. 10.1088/1126-6708/2006/01/110
97. K. Matsuda and H. Nishiura, Phys. Rev. D 71, 073001 (2005) in Ref.. PRVDAQ 0556-2821 10.1103/PhysRevD.71.073001
98. N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963); PRLTAO 0031-9007 10.1103/PhysRevLett.10.531
99. M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973). PTPKAV 0033-068X 10.1143/PTP.49.652
100. I. Aizawa, T. Kitabayashi, and M. Yasuè, in Ref..
101. Riazuddin, J. High Energy Phys. JHEPFG 1029-8479 10 (2003) 009. 10.1088/1126-6708/2003/10/009
102. T. Kitabayashi and M. Yasuè, Phys. Lett. B 524, 308 (2002) in Ref.; PYLBAJ 0370-2693 10.1016/S0370-2693(01)01368-5
103. I. Aizawa, M. Ishiguro, T. Kitabayashi, and M. Yasuè, in Ref.
104. See, for example, M. Frigerio and A.Yu. Smirnov, Nucl. Phys. NUPBBO 0550-3213 B640, 233 (2002); 10.1016/S0550-3213(02)00570-9
105. R.N. Mohapatra and W. Rodejohann, in Ref.