The D4 flavor symmetry in 3-3-1 model with neutral leptons

International Journal of Modern Physics A

Volumn 28, Issue 32, 2013, Pages

  Vien, V V ^a   Long, H N ^b  

^a TAY NGUYEN UNIVERSITY   (Viet Nam)

^b INSTITUTE OF PHYSICS   (Viet Nam)

Author keywords

charge conjugation; extensions of electroweak Higgs sector; Neutrino mass and mixing; nonstandard model neutrinos; other discrete symmetries; parity; right handed neutrinos; time reversal

Indexed keywords

EID: 84891881717     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X13501595     Document Type: Article

References (159)

1. Particle Data Group (J. Beringer et al.), Phys. Rev. D 86, 010001 (2012).
2. T. Schwetz, M. Tortola and J. Valle, New J. Phys. 13, 109401 (2011), arXiv:1108.1376 [hep-ph].
3. T2K Collab. (K. Abe et al.), Phys. Rev. Lett. 107, 041801 (2011).
4. MINOS Collab. (P. Adamson et al.), Phys. Rev. Lett. 107, 181802 (2011), arXiv:1108.0015 [hep-ex].
5. G. L. Fogli et al., Phys. Rev. D 84, 053007 (2011), arXiv:1106.6028 [hep-ph].
6. N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963).
7. M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).
8. E. Ma and G. Rajasekaran, Phys. Rev. D 64, 113012 (2001).
9. K. S. Babu, E. Ma and J. W. F. Valle, Phys. Lett. B 552, 207 (2003).
10. G. Altarelli and F. Feruglio, Nucl. Phys. B 720, 64 (2005).
11. E. Ma, Phys. Rev. D 73, 057304 (2006).
12. X. G. He, Y. Y. Keum and R. R. Volkas, J. High Energy Phys. 0604, 039 (2006).
13. S. Morisi, M. Picariello and E. Torrente-Lujan, Phys. Rev. D 75, 075015 (2007).
14. C. S. Lam, Phys. Lett. B 656, 193 (2007).
15. F. Bazzocchi, S. Kaneko and S. Morisi, J. High Energy Phys. 0803, 063 (2008).
16. A. Blum, C. Hagedorn and M. Lindner, Phys. Rev. D 77, 076004 (2008).
17. F. Bazzochi, M. Frigerio and S. Morisi, Phys. Rev. D 78, 116018 (2008).
18. G. Altarelli, F. Feruglio and C. Hagedorn, J. High Energy Phys. 0803, 052 (2008).
19. M. Hirsch, S. Morisi and J. W. F. Valle, Phys. Rev. D 78, 093007 (2008).
20. E. Ma, Phys. Lett. B 671, 366 (2009).
21. G. Altarelli and D. Meloni, J. Phys. G 36, 085005 (2009).
22. Y. Lin, Nucl. Phys. B 813, 91 (2009).
23. Y. H. Ahn and C. S. Chen, Phys. Rev. D 81, 105013 (2010).
24. J. Barry and W. Rodejohanny, Phys. Rev. D 81, 093002 (2010).
25. G. J. Ding and D. Meloni, Nucl. Phys. B 855, 21 (2012).
26. A. Datta, F. S. Ling and P. Ramond, Nucl. Phys. B 671, 383 (2003).
27. C. Luhn, S. Nasri and P. Ramond, J. Math. Phys. 48, 123519 (2007), arXiv:0709.1447 [hep-th].
28. Y. Kajiyama, M. Raidal and A. Strumia, Phys. Rev. D 76, 117301 (2007), arXiv:0705.4559 [hep-ph].
29. C. Luhn and P. Ramond, J. Math. Phys. 49, 053525 (2008), arXiv:0803.0526 [hep-th].
30. L. L. Everett and A. J. Stuart, Phys. Rev. D 79, 085005 (2009).
31. A. Adulpravitchai, A. Blum and W. Rodejohann, Golden ratio prediction for solar neutrino mixing, arXiv:0903.0531 [hep-ph].
32. C. S. Chen, T. W. Kephart and T. C. Yuan, An A5 model of four lepton generations, arXiv:1011.3199 [hep-ph].
33. I. K. Cooper, S. F. King and A. J. Stuart, A golden A5 model of leptons with a minimal NLO correction, arXiv:1212.1066 [hep-ph].
34. C. S. Chen, T. W. Kephart and T. C. Yuan, Binary icosahedral flavor symmetry for four generations of quarks and leptons, arXiv:1110.6233 [hep-ph].
35. K. Hashimoto and H. Okada, Lepton flavor model and decaying dark matter in the binary icosahedral group symmetry, arXiv:1110.3640 [hep-ph].
36. G. J. Ding, L. L. Everett and A. J. Stuart, Golden ratio neutrino mixing and A5 flavor symmetry, arXiv:1110.1688 [hep-ph].
37. F. Feruglio and A. Paris, J. High Energy Phys. 1103, 101 (2011).
38. L. L. Everett and A. J. Stuart, The double cover of the icosahedral symmetry group and quark mass textures, arXiv:1011.4928 [hep-ph].
39. L. Wolfenstein, Phys. Rev. D 18, 958 (1978).
40. S. Pakvasa and H. Sugawara, Phys. Lett. B 73, 61 (1978).
41. S. Pakvasa and H. Sugawara, Phys. Lett. B 82, 105 (1979).
42. E. Durman and H. S. Tsao, Phys. Rev. D 20, 1207 (1979).
43. Y. Yamanaka, H. Sugawara and S. Pakvasa, Phys. Rev. D 25, 1895 (1982).
44. K. Kang, J. E. Kim and P. Ko, Z. Phys. C 72, 671 (1996).
45. H. Fritzsch and Z. Z. Xing, Phys. Lett. B 372, 265 (1996).
46. K. Kang, S. K. Kang, J. E. Kim and P. Ko, Mod. Phys. Lett. A 12, 1175 (1997).
47. M. Fukugita, M. Tanimoto and T. Yanagida, Phys. Rev. D 57, 4429 (1998).
48. H. Fritzsch and Z. Z. Xing, Phys. Lett. B 440, 313 (1998).
49. Y. Koide, Phys. Rev. D 60, 077301 (1999).
50. H. Fritzsch and Z. Z. Xing, Phys. Rev. D 61, 073016 (2000).
51. M. Tanimoto, Phys. Lett. B 483, 417 (2000).
52. G. C. Branco and J. I. Silva-Marcos, Phys. Lett. B 526, 104 (2002).
53. M. Fujii, K. Hamaguchi and T. Yanagida, Phys. Rev. D 65, 115012 (2002).
54. J. Kubo, A. Mondragon, M. Mondragon and E. Rodriguez-Jauregui, Prog. Theor. Phys. 109, 795 (2003).
55. J. Kubo, A. Mondragon, M. Mondragon and E. Rodriguez-Jauregui, Prog. Theor. Phys. 114, 287(E) (2005).
56. P. F. Harrison and W. G. Scott, Phys. Lett. B 557, 76 (2003).
57. S.-L. Chen, M. Frigerio and E. Ma, Phys. Rev. D 70, 073008 (2004).
58. H. Fritzsch and Z. Z. Xing, Phys. Lett. B 598, 237 (2004).
59. F. Caravaglios and S. Morisi, arXiv:hep-ph/0503234.
60. W. Grimus and L. Lavoura, J. High Energy Phys. 0508, 013 (2005).
61. R. N. Mohapatra, S. Nasri and H. B. Yu, Phys. Lett. B 639, 318 (2006).
62. R. Jora, S. Nasri and J. Schechter, Int. J. Mod. Phys. A 21, 5875 (2006).
63. J. E. Kim and J.-C. Park, J. High Energy Phys. 0605, 017 (2006).
64. Y. Koide, Eur. Phys. J. C 50, 809 (2007).
65. A. Mondragon, M. Mondragon and E. Peinado, Phys. Rev. D 76, 076003 (2007).
66. A. Mondragon, M. Mondragon and E. Peinado, AIP Conf. Proc. 1026, 164 (2008).
67. M. Picariello, Int. J. Mod. Phys. A 23, 4435 (2008).
68. C. Y. Chen and L. Wolfenstein, Phys. Rev. D 77, 093009 (2008).
69. R. Jora, J. Schechter and M. N. Shahid, Phys. Rev. D 80, 093007 (2009).
70. R. Jora, J. Schechter and M. N. Shahid, Phys. Rev. 82, 079902(E) (2010).
71. D. A. Dicus, S. F. Ge and W. W. Repko, Phys. Rev. D 82, 033005 (2010).
72. Z. Z. Xing, D. Yang and S. Zhou, Phys. Lett. B 690, 304 (2010).
73. R. Jora, J. Schechter and M. N. Shahid, Phys. Rev. D 82, 053006 (2010).
74. S. Dev, S. Gupta and R. R. Gautam, Phys. Lett. B 702, 28 (2011).
75. D. Meloni, S. Morisi and E. Peinado, J. Phys. G 38, 015003 (2011).
76. G. Bhattacharyya, P. Leser and H. Pas, Phys. Rev. D 83, 011701(R) (2011).
77. T. Kaneko and H. Sugawara, Phys. Lett. B 697, 329 (2011).
78. S. Zhou, Phys. Lett. B 704, 291 (2011).
79. F. Gonźalez Canales et al., Quark sector of S3 models: Classification and comparison with experimental data, arXiv:1304.6644 [hep-ph].
80. E. Ma and B. Melíc, Updated S3 model of quarks, Physics Letters B (2013), http://dx.doi.org/10.1016/j.physletb.2013.07.015.
81. R. N. Mohapatra, M. K. Parida and G. Rajasekaran, Phys. Rev. D 69, 053007 (2004).
82. C. Hagedorn, M. Lindner and R. N. Mohapatra, J. High Energy Phys. 0606, 042 (2006).
83. E. Ma, Phys. Lett. B 632, 352 (2006).
84. H. Zhang, Phys. Lett. B 655, 132 (2007).
85. Y. Koide, J. High Energy Phys. 0708, 086 (2007).
86. H. Ishimori, Y. Shimizu and M. Tanimoto, Prog. Theor. Phys. 121, 769 (2009).
87. F. Bazzocchi, L. Merlo and S. Morisi, Nucl. Phys. B 816, 204 (2009).
88. F. Bazzocchi and S. Morisi, Phys. Rev. D 80, 096005 (2009).
89. G. Altarelli and F. Fergulio, Rev. Mod. Phys. 82, 2701 (2010).
90. G. J. Ding, Nucl. Phys. B 827, 82 (2010).
91. Y. H. Ahn, S. K. Kang, C. S. Kim and T. P. Nguyen, Phys. Rev. D 82, 093005 (2010).
92. Y. Daikoku and H. Okada, arXiv:1008.0914 [hep-ph].
93. H. Ishimori, Y. Shimizu, M. Tanimoto and A. Watanabe, Phys. Rev. D 83, 033004 (2011).
94. H. Ishimori and M. Tanimoto, Prog. Theor. Phys. 125, 653 (2011).
95. R. Z. Yang and H. Zhang, Phys. Lett. B 700, 316 (2011).
96. S. Morisi and E. Peinado, Phys. Lett. B 701, 451 (2011).
97. S. Morisi, K. M. Patel and E. Peinado, Phys. Rev. D 84, 053002 (2011).
98. L. Dorame, S. Morisi, E. Peinado, J. W. F. Valle and A. D. Rojas, Phys. Rev. D 86, 056001 (2012), arXiv:1203.0155 [hep-ph].
99. D. Hernandez and A. Yu. Smirnov, Phys. Rev. D 86, 053014 (2012), arXiv:1204.0445 [hep-ph].
100. Z. H. Zhao, Phys. Rev. D 86, 096010 (2012), arXiv:1207.2545 [hep-ph].
101. R. Krishnan, P. F. Harrison and W. G. Scott, Simplest neutrino mixing from S4 symmetry, arXiv:1211.2000 [hep-ph].
102. R. Krishnan, A model for large 13 constructed using the eigenvectors of the S4 rotation matrices, arXiv:1211.3364 [hep-ph].
103. I. de M. Varzielas and L. Lavoura, Flavour models for TM1 lepton mixing, arXiv:1212.3247 [hep-ph].
104. W. Grimus, Discrete symmetries, roots of unity, and lepton mixing, arXiv:1301.0495 [hep-ph].
105. S. F. King and C. Luhn, Neutrino mass and mixing with discrete symmetry, arXiv:1301.1340 [hep-ph].
106. R. G. Felipe, H. Serodio and J. P. Silva, Models with three Higgs doublets in the triplet representations of A4 or S4, arXiv:1302.0861 [hep-ph].
107. Y. Daikoku and H. Okada, Phenomenology of S4 flavor symmetric extra U(1) model, arXiv:1303.7056 [hep-ph].
108. F. Feruglio, C. Hagedorn and R. Ziegler, S4 and CP in a SUSY model, arXiv:1303.7178 [hep-ph].
109. Ch. Luhn, Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation, arXiv:1306.2358 [hep-ph].
110. P. H. Frampton and T.W. Kephart, Int. J. Mod. Phys. A 10, 4689 (1995), arXiv:hepph/ 9409330.
111. P. H. Frampton and T. W. Kephart, Phys. Rev. D 64, 086007 (2001), arXiv:hepth/ 0011186.
112. W. Grimus and L. Lavoura, Phys. Lett. B 572, 189 (2003), arXiv:hep-ph/0305046.
113. W. Grimus and L. Lavoura, Models of maximal atmospheric neutrino mixing and leptogenesis, arXiv:hep-ph/0405261.
114. W. Grimus, A. S. Joshipura, S. Kaneko, L. Lavoura andM. Tanimoto, J. High Energy Phys. 0407, 078 (2004), arXiv:hep-ph/0407112.
115. M. Frigerio, S. Kaneko, E. Ma and M. Tanimoto, Phys. Rev. D 71, 011901 (2005), arXiv:hep-ph/0409187.
116. K. S. Babu and J. Kubo, Phys. Rev. D 71, 056006 (2005), arXiv:hep-ph/0411226.
117. M. Honda, R. Takahashi and M. Tanimoto, J. High Energy Phys. 0601, 042 (2006), arXiv:hep-ph/0510018.
118. H. Ishimori et al., Phys. Lett. B 662, 178 (2008), arXiv:0802.2310 [hep-ph].
119. H. Abe, K.-S. Choi, T. Kobayashi and B. H. Ohki, Nucl. Phys. B 820, 317 (2009).
120. T. Araki et al., Nucl. Phys. B 805, 124 (2008).
121. A. Adulpravitchai, A. Blum and C. Hagedorn, J. High Energy Phys. 0903, 046 (2009), arXiv:0812.3799 [hep-ph].
122. C. Hagedorn, M. Lindner and F. Plentinger, Phys. Rev. D 74, 025007 (2006), arXiv:hep-ph/0604265.
123. T. Kobayashi, H. P. Nilles, F. Ploger, S. Raby and M. Ratz, Nucl. Phys. B 768, 135 (2007), arXiv:hep-ph/0611020.
124. F. Feruglio, C. Hagedorn, Y. Lin and L. Merlo, Nucl. Phys. B 775, 120 (2007).
125. M. C. Chen and K. T. Mahanthappa, Phys. Lett. B 652, 34 (2007).
126. P. H. Frampton and T. W. Kephart, J. High Energy Phys. 0709, 110 (2007).
127. G. J. Ding, Phys. Rev. D 78, 036011 (2008), arXiv:0803.2278 [hep-ph].
128. P. H. Frampton and S. Matsuzaki, Phys. Lett. B 679, 347 (2009).
129. J. W. F. Valle and M. Singer, Phys. Rev. D 28, 540 (1983).
130. F. Pisano and V. Pleitez, Phys. Rev. D 46, 410 (1992).
131. P. H. Frampton, Phys. Rev. Lett. 69, 2889 (1992).
132. R. Foot, O. F. Hernandez, F. Pisano and V. Pleitez, Phys. Rev. D 47, 4158 (1993).
133. J. C. Montero, F. Pisano and V. Pleitez, Phys. Rev. D 47, 2918 (1993).
134. M. Singer, J. W. F. Valle and J. Schechter, Phys. Rev. D 22, 738 (1980).
135. R. Foot, H. N. Long and T. A. Tran, Phys. Rev. D 50, 34 (1994), arXiv:9402243 [hep-ph].
136. H. N. Long, Phys. Rev. D 54, 4691 (1996).
137. H. N. Long, Phys. Rev. D 53, 437 (1996).
138. H. N. Long, Mod. Phys. Lett. A 13, 1865 (1998), arXiv:hep-ph/9711204.
139. W. A. Ponce, Y. Giraldo and L. A. Sanchez, Phys. Rev. D 67, 075001 (2003).
140. P. V. Dong, H. N. Long, D. T. Nhung and D. V. Soa, Phys. Rev. D 73, 035004 (2006).
141. P. V. Dong, H. T. Hung and H. N. Long, Phys. Rev. D 86, 033002 (2012), arXiv:1205.5648 [hep-ph].
142. P. V. Dong and H. N. Long, Adv. High Energy Phys. 2008, 739492 (2008), arXiv:0804.3239 [hep-ph].
143. P. V. Dong, L. T. Hue, H. N. Long and D. V. Soa, Phys. Rev. D 81, 053004 (2010).
144. P. V. Dong, H. N. Long, D. V. Soa and V. V. Vien, Eur. Phys. J. C 71, 1544 (2011), arXiv:1009.2328 [hep-ph].
145. P. V. Dong, H. N. Long, C. H. Nam and V. V. Vien, Phys. Rev. D 85, 053001 (2012), arXiv:1111.6360 [hep-ph].
146. P. F. Harrison, D. H. Perkins and W. G. Scott, Phys. Lett. B 530, 167 (2002).
147. Z. Z. Xing, Phys. Lett. B 533, 85 (2002).
148. X. G. He and A. Zee, Phys. Lett. B 560, 87 (2003).
149. X. G. He and A. Zee, Phys. Rev. D 68, 037302 (2003).
150. P. V. Dong, V. T. N. Huyen, H. N. Long and H. V. Thuy, Adv. High Energy Phys. 2012, 715038 (2012).
151. D. Chang and H. N. Long, Phys. Rev. D 73, 053006 (2006).
152. Particle Data Group (K. Nakamura et al.), J. Phys. G 37, 075021 (2010).
153. M. C. Gonzalez-Garcia, M. Maltoni and J. Salvado, J. High Energy Phys. 04, 056 (2010), arXiv:1001.4524 [hep-ph].
154. C. Weinheimer, Nucl. Phys. B (Proc. Suppl.) 118, 388 (2003), arXiv:0209556 [astro-ph].
155. V. Lobashev et al., Nucl. Phys. B (Proc. Suppl.) 91, 280 (2001).
156. M. Tegmark et al., Phys. Rev. D 69, 103501 (2004), arXiv:0310723 [astro-ph].
157. T. J Weiler, Oscillation and mixing among the three neutrino flavors, arXiv:1308.1715 [hep-ph].
158. P. V. Dong and H. N. Long, Eur. Phys. J. C 42, 325 (2005).
159. H. Ishimori et al., Prog. Theor. Phys. Suppl. 183, 1 (2010), arXiv:1003.3552 [hep-th].