---

Prog. Theor. Phys. Vol. 103 No. 1 (2000) pp. 145-150

The Effect of Majorana Phase in Degenerate Neutrinos

Naoyuki Haba,^1,*) Yoshimitsu Matsui,^2,**) Naotoshi Okamura^3,***) and Masaki Sugiura^2,****)

¹Faculty of Engineering, Mie University, Tsu 514-8507, Japan
²Department of Physics, Nagoya University, Nagoya 464-8602, Japan
³Theory Group, KEK, Tsukuba 305-0801, Japan

(Received August 21, 1999)

Abstract:

There are physical Majorana phases in the lepton flavor mixing matrix when neutrinos are Majorana fermions. In the case of two degenerate neutrinos, the physical Majorana phase plays a crucial role in the stability of the maximal flavor mixing between the second and the third generations with respect to quantum corrections. The physical Majorana phase of π guarantees that the maximal mixing is stable with respect to quantum corrections, while the Majorana phase of zero causes the maximal mixing destroyed by quantum corrections when neutrino masses are of O(1 eV). The continuous change of the Majorana phase from π to 0 makes the maximal mixing destroyed by quantum corrections with O(1 eV) degenerate neutrino masses. On the other hand, when there is a large mass hierarchy among neutrinos, the maximal flavor mixing is not destroyed by quantum corrections independently of the Majorana phase.

URL : http://ptp.ipap.jp/link?PTP/103/145/
DOI : 10.1143/PTP.103.145

^*)E-mail: haba@eken.phys.nagoya-u.ac.jp
^**)E-mail: matsui@eken.phys.nagoya-u.ac.jp
^***)E-mail: naotoshi.okamura@kek.jp
^****)E-mail: sugiura@eken.phys.nagoya-u.ac.jp

[ Full Text PDF : FREE ACCESS (104K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. Homestake Collaboration, B. T. Cleveland et al., Nucl. Phys. (Proc. Suppl.) B38 (1995), 47[Elsevier].
   Kamiokande Collaboration, Y. Suzuki, Nucl. Phys. (Proc. Suppl.) B38 (1995), 54[Elsevier].
   GALLEX Collaboration, P. Anselmann et al., Phys. Lett. B357 (1995), 237.
   SAGE Collaboration, J. N. Abdurashitov et al., Phys. Lett. B328 (1994), 234.
   Super-Kamiokande Collaboration, Phys. Rev. Lett. 82 (1999), 1810[APS]; ibid. 82 (1999), 2430[APS]; hep-ex/9903034[e-print arXiv].
2. Kamiokande Collaboration, K. S. Hirata et al., Phys. Lett. B205 (1988), 416; ibid. B280 (1992), 146.
   Y. Fukuda et al., Phys. Lett. B335 (1994), 237.
   IMB Collaboration, D. Casper et al., Phys. Rev. Lett. 66 (1991), 2561[APS].
   R. Becker-Szendy et al., Phys. Rev. D46 (1992), 3720[APS].
   SOUDAN2 Collaboration, T. Kafka, Nucl. Phys. (Proc. Suppl.) B35 (1994), 427[Elsevier].
   M. C. Goodman, Nucl. Phys. (Proc. Suppl.) B38 (1995), 337[Elsevier].
   W. W. M. Allison et al., Phys. Lett. B391 (1997), 491; ibid. B449 (1999), 137.
3. Y. Totsuka, Invited talk at the 18th International Symposium on Lepton-Photon Interaction, July 28 – August 1, 1997, Hamburg.
   Super-Kamiokande Collaboration, Phys. Rev. Lett. 81 (1998), 1562[APS]; ibid. 82 (1999), 2644[APS]; hep-ex/9903047[e-print arXiv].
4. Z. Maki, M. Nakagawa and S. Sakata, Prog. Theor. Phys. 28 (1962), 870[PTP].
5. P. H. Chankowski and Z. Pluciennik, Phys. Lett. B316 (1993), 312.
   K. S. Babu, C. N. Leung and J. Pantaleone, Phys. Lett. B319 (1993), 191.
6. M. Tanimoto, Phys. Lett. B360 (1995), 41.
   J. Ellis, G. K. Leontaris, S. Lola and D. V. Nanopoulos, Eur. Phys. J. C9 (1999), 389.
   S. Lola, hep-ph/9903203[e-print arXiv].
   J. A. Casas, J. R. Espinosa, A. Ibarra and I. Navarro, hep-ph/9904395[e-print arXiv]; hep-ph/9905381[e-print arXiv]; hep-ph/9906281[e-print arXiv].
   Yue-Liang Wu, hep-ph/9905222[e-print arXiv].
   M. Carena, J. Ellis, S. Lola and C. E. M. Wagner, hep-ph/9906362[e-print arXiv].
   R. Barbieri, G. Ross and A. Strumia, hep-ph/9906470[e-print arXiv].
   E. Ma, hep-ph/9907400[e-print arXiv]; hep-ph/9907503[e-print arXiv].
7. N. Haba, N. Okamura and M. Sugiura, hep-ph/9810471[e-print arXiv].
8. J. Ellis and S. Lola, Phys. Lett. B458 (1999), 310.
9. N. Haba, Y. Matsui, N. Okamura and M. Sugiura, hep-ph/9904292[e-print arXiv], to be published in Eur. Phys. J.
10. N. Haba and N. Okamura, hep-ph/9906481[e-print arXiv].
11. L. Wolfenstein, Nucl. Phys. B186 (1981), 147.
    K. Kobayashi, C. S. Lim and M. M. Nojiri, Phys. Rev. Lett. 67 (1991), 1685[APS].
    H. Minakata and H. Nunokawa, Phys. Rev. D45 (1992), 3316[APS].
12. N. Haba, Y. Matsui, N. Okamura and M. Sugiura, in preparation.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 103 No. 4 (2000) pp. 807-814 :

   Analytic Solutions to the RG Equations of the Neutrino Physical Parameters

   Naoyuki Haba, Yoshimitsu Matsui and Naotoshi Okamura

2. Progress of Theoretical Physics Vol. 112 No. 3 (2004) pp. 533-567 :

   Symmetric Mass Matrix with Two Zeros in SUSY SO(10) GUT, Lepton Flavor Violations and Leptogenesis

   Masako Bando, Satoru Kaneko, Midori Obara and Morimitu Tanimoto

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.