Abstract
We analyze in detail the predictions of “trimaximal” neutrino mixing, which is defined by a mixing matrix with identical second column elements. This column is therefore identical to the second column in the case of tri-bimaximal mixing. We also generalize trimaximal mixing by assuming that the other rows and columns of the mixing matrix individually can have the same forms as for tri-bimaximal mixing. The phenomenology of these alternative scenarios and their mixing angle and CP phase correlations are studied. We emphasize how trimaximal mixing scenarios can be distinguished experimentally from broken tri-bimaximal mixing.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Y. Fukuda et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 81, 1562 (1998). arXiv:hep-ex/9807003
Y. Ashie et al. (Super-Kamiokande Collaboration), Phys. Rev. D 71, 112005 (2005). arXiv:hep-ex/0501064
J. Hosaka et al. (Super-Kamiokande Collaboration), Phys. Rev. D 74, 032002 (2006). arXiv:hep-ex/0604011
K. Abe et al. (Super-Kamiokande Collaboration), Phys. Rev. Lett. 97, 171801 (2006). arXiv:hep-ex/0607059
B.T. Cleveland et al. Astrophys. J. 496, 505 (1998)
J. Hosaka et al. (Super-Kamiokande Collaboration), Phys. Rev. D 73, 112001 (2006). arXiv:hep-ex/0508053
J.N. Abdurashitov et al. (SAGE Collaboration). J. Exp. Theor. Phys. 95, 181 (2002). arXiv:astro-ph/0204245 [Zh. Eksp. Teor. Fiz. 122, 211 (2002)]
W. Hampel et al. (GALLEX Collaboration), Phys. Lett. B 447, 127 (1999)
M. Altmann et al. (GNO Collaboration), Phys. Lett. B 616, 174 (2005). arXiv:hep-ex/0504037
B. Aharmim et al. (SNO Collaboration), Phys. Rev. C 75, 045502 (2007). arXiv:nucl-ex/0610020
C. Arpesella et al. (Borexino Collaboration), Phys. Lett. B 658, 101 (2008). arXiv:0708.2251 [astro-ph]
B. Aharmim et al. (SNO Collaboration), Phys. Rev. Lett. 101, 111301 (2008). arXiv:0806.0989 [nucl-ex]
M. Apollonio et al. (CHOOZ Collaboration), Phys. Lett. B 466, 415 (1999). arXiv:hep-ex/9907037
F. Boehm et al. Phys. Rev. Lett. 84, 3764 (2000). arXiv:hep-ex/9912050
K. Eguchi et al. (KamLAND Collaboration), Phys. Rev. Lett. 90, 021802 (2003). arXiv:hep-ex/0212021
S. Abe et al. (KamLAND Collaboration), Phys. Rev. Lett. 100, 221803 (2008). arXiv:0801.4589 [hep-ex]
M.H. Ahn et al. (K2K Collaboration), Phys. Rev. D 74, 072003 (2006). arXiv:hep-ex/0606032
P. Adamson et al. (MINOS Collaboration), Phys. Rev. D 77, 072002 (2008). arXiv:0711.0769 [hep-ex]
M.C. Gonzalez-Garcia, M. Maltoni, Phys. Rept. 460, 1 (2008). arXiv:0704.1800 [hep-ph]
T. Schwetz, M. Tortola, J.W.F. Valle, arXiv:0808.2016 [hep-ph]
G.L. Fogli, E. Lisi, A. Marrone, A. Palazzo, A.M. Rotunno, Phys. Rev. Lett. 101, 141801 (2008). arXiv:0806.2649 [hep-ph]
G.L. Fogli, E. Lisi, A. Marrone, A. Palazzo, A.M. Rotunno, arXiv:0809.2936 [hep-ph]
A.B. Balantekin, D. Yilmaz, J. Phys. G 35, 075007 (2008). arXiv:0804.3345 [hep-ph]
H.L. Ge, C. Giunti, Q.Y. Liu, arXiv:0810.5443 [hep-ph]
C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1 (2008)
P.F. Harrison, D.H. Perkins, W.G. Scott, Phys. Lett. B 530, 167 (2002)
P.F. Harrison, D.H. Perkins, W.G. Scott, Phys. Lett. B 535, 163 (2002)
Z.Z. Xing, Phys. Lett. B 533, 85 (2002)
X.G. He, A. Zee, Phys. Lett. B 560, 87 (2003)
L. Wolfenstein, Phys. Rev. D 18, 958 (1978)
Y. Yamanaka, H. Sugawara, S. Pakvasa, Phys. Rev. D 25, 1895 (1982). [Erratum: Phys. Rev. D 29, 2135 (1984)]
S. Pakvasa, W. Rodejohann, T.J. Weiler, Phys. Rev. Lett. 100, 111801 (2008). arXiv:0711.0052 [hep-ph]
S.F. King, Phys. Lett. B 659, 244 (2008). arXiv:0710.0530 [hep-ph]
N. Li, B.Q. Ma, Phys. Rev. D 71, 017302 (2005). arXiv:hep-ph/0412126
X.G. He, S.W. Li, B.Q. Ma, arXiv:0809.1223 [hep-ph]
C.H. Albright, W. Rodejohann, Phys. Lett. B 665, 378 (2008). arXiv:0804.4581 [hep-ph]
W. Grimus, L. Lavoura, J. High Energy Phys. 0809, 106 (2008). arXiv:0809.0226 [hep-ph]
P.F. Harrison, W.G. Scott, Phys. Lett. B 535, 163 (2002). arXiv:hep-ph/0203209
J.D. Bjorken, P.F. Harrison, W.G. Scott, Phys. Rev. D 74, 073012 (2006). arXiv:hep-ph/0511201
X.G. He, A. Zee, Phys. Lett. B 645, 427 (2007). arXiv:hep-ph/0607163
W. Grimus, L. Lavoura, arXiv:0810.4516 [hep-ph]
F. Plentinger, W. Rodejohann, Phys. Lett. B 625, 264 (2005). arXiv:hep-ph/0507143
S. Antusch, S.F. King, Phys. Lett. B 631, 42 (2005). arXiv:hep-ph/0508044
K.A. Hochmuth, S.T. Petcov, W. Rodejohann, Phys. Lett. B 654, 177 (2007). arXiv:0706.2975 [hep-ph]
Y. Koide, H. Nishiura, arXiv:0808.0370 [hep-ph]
S. Boudjemaa, S.F. King, arXiv:0808.2782 [hep-ph]
Z.Z. Xing, Phys. Rev. D 78, 011301 (2008). arXiv:0805.0416 [hep-ph]
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Albright, C.H., Rodejohann, W. Comparing trimaximal mixing and its variants with deviations from tri-bimaximal mixing. Eur. Phys. J. C 62, 599–608 (2009). https://doi.org/10.1140/epjc/s10052-009-1074-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-009-1074-3