Two parameter texture of nearly bimaximal neutrino mixing

Ambar Ghosal

doi:10.1103/PhysRevD.62.092001

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Two parameter texture of nearly bimaximal neutrino mixing

Ambar Ghosal^*

Department of Physics, University of Shizuoka, 52-1 Yada, Shizuoka-shi, Shizuoka 422 8526, Japan

^*Email address: ambar@snis.u-shizuoka-ken.ac.jp, gp1195@mail.a.u-shizuoka-ken.ac.jp

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Phys. Rev. D 62, 092001 – Published 28 September, 2000

DOI: https://doi.org/10.1103/PhysRevD.62.092001

Abstract

We propose a texture of a three generation Majorana-type neutrino mass matrix in terms of only two parameters which gives rise to nearly bimaximal mixing angles. We also demonstrate an explicit realization of such a type of neutrino mass-matrix in the context of an ${SU (2)}_{L} \times {U (1)}_{Y}$ model due to higher-dimensional mass terms through the inclusion of discrete $Z_{3} \times Z_{4}$ symmetry and two extra singlet Higgs fields.

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[c1] Super-Kamiokande Collaboration, Y. Fukuda et al., Phys. Lett. B 433, 9 (1998); ibid.Y. Fukuda436, 33 (1998); Kamiokande Collaboration, S. Hatakeyama et al., Phys. Rev. Lett. 81, 2016 (1998); T. Kajita, Talk presented at Neutrino 98, Takayama, Japan, 1998.

[c2] Y. Obayashi, Neutrino Oscillations and Their Origin, Fujiyoshida, Japan (University Academy Press, Tokyo, 2000).

[c3] R. Davis, Prog. Part. Nucl. Phys. 32, 13 (1994); Y. Fukuda et al., Phys. Rev. Lett. 77, 1683 (1996); P. Anselmann et al., Phys. Lett. B 357, 237 (1995); ibid.P. Anselmann361, 235 (1996).

[c4] M. Appollonio et al., Phys. Lett. B 420, 397 (1998).

[c6] R. Barbieri, L. J. Hall, and A. Strumia, Phys. Lett. B 445, 407 (1999).

[c7] R. Barbieri et al., J. High Energy Phys. 12, 017 (1998).

[c8] C. D. Froggatt, M. Gibson, and H. B. Nielsen, Phys. Lett. B 446, 256 (1999).

[c9] D. O. Caldwell and R. N. Mohapatra, Phys. Rev. D 50, 3477 (1994); A. S. Joshipura, Z. Phys. C 64, 31 (1994); D. G. Lee and R. N. Mohapatra, Phys. Lett. B 329, 463 (1994); ibid.P. Bamert and C. P. Burgess, 329, 289 (1994); ibid.E. Ma, 456, 48 (1999); Y. L. Wu, Phys. Rev. D 60, 073010 (1999); Eur. Phys. J. C 10, 491 (1999); Int. J. Mod. Phys. A 14, 4313 (1999); hep-ph/9905222.

[c10] A. S. Joshipura, Phys. Rev. D 51, 1321 (1995); A. Ioannissyan and J. W. F. Valle, Phys. Lett. B 332, 93 (1994); ibid.A. Ghosal, 398, 315 (1997); A. K. Ray and S. Sarkar, Phys. Rev. D 58, 055010 (1998).

[c11] K. Fukuura et al., Phys. Rev. D 61, 073002 (2000); T. Miura, E. Takasugi, and M. Yoshimura, ibid. (to be published), hep-ph/0003139; M. Tanimoto, Phys. Lett. B 483, 417 (2000); Y. Koide, Phys. Rev. D 60, 077301 (1999).

[c12] P. H. Frampton and A. Rasin, Phys. Lett. B 478, 424 (2000).

[c13] M. S. Berger and K. Siyeon, hep-ph/0003121.

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Two parameter texture of nearly bimaximal neutrino mixing

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References (13)

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