Neutrino mass ordering and μ-τ reflection symmetry breaking

  • If the neutrino mass spectrum turns out to be m3 < m1 < m2, it may be relabeled as m'1 < m'2 < m'3 such that all the masses of fundamental fermions with the same electrical charges are in order. In this case the columns of the 3×3 lepton flavor mixing matrix U should be reordered accordingly, and the resulting pattern U' may involve one or two large mixing angles in the standard parametrization or its variations. Since the Majorana neutrino mass matrix remains unchanged in such a mass relabeling, a possible μ-τ reflection symmetry is respected in this connection and its breaking effects are model-independently constrained at the 3σ level by using current experimental data.
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  • [1] Z. Z. Xing and S. Zhou, Neutrinos in Particle Physics, Astronomy and Cosmology (Zhejiang University Press and Springer-Verlag, 2011)
    [2] Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys., 28:870(1962); B. Pontecorvo, Sov. Phys. JETP, 26:984(1968)
    [3] N. Cabibbo, Phys. Rev. Lett., 10:531(1963); M. Kobayashi and T. Maskawa, Prog. Theor. Phys., 49:652(1973)
    [4] C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001(2016)
    [5] M. Aoki et al Phys. Rev. D, 67:093004(2003)
    [6] F. Capozzi, E. Di Valentino, E. Lisi, A. Marrone, A. Melchiorri, and A. Palazzo, Phys. Rev. D, 95:096014(2017)
    [7] K. Abe et al (T2K Collaboration), arXiv:1707.01048; M. Hartz, T2K Neutrino Oscillation Results with Data up to 2017 Summer, talk given at the KEK Colloquium, August 4, 2017
    [8] I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, and T. Schwetz, JHEP, 1701:087(2017); A. Caldwell, A. Merle, O. Schulz, and M. Totzauer, arXiv:1705.01945
    [9] Z. Z. Xing, H. Zhang, and S. Zhou, Phys. Rev. D, 77:113016(2008); Phys. Rev. D, 86:013013(2012)
    [10] E. Majorana, Nuovo Cimento, 14:171(1937)
    [11] P. F. Harrison and W. G. Scott, Phys. Lett. B, 547:219(2002)
    [12] Z. Z. Xing and Z. H. Zhao, Rept. Prog. Phys., 79:076201(2016)
    [13] H. Fritzsch and Z. Z. Xing, Phys. Rev. D, 57:594(1998)
    [14] H. Fritzsch and Z. Z. Xing, Phys. Lett. B, 413:396(1997)
    [15] J. M. Gerard and Z. Z. Xing, Phys. Lett. B, 713:29(2012); Z. Z. Xing, Chin. Phys. C, 36:281(2012)
    [16] Z. Z. Xing and S. Zhou, Phys. Lett. B, 666:166(2008)
    [17] M. Raidal, Phys. Rev. Lett., 93:161801(2004); H. Minakata and A. Yu. Smirnov, Phys. Rev. D, 70:073009(2004)
    [18] Z. Z. Xing, Phys. Lett. B, 618:141(2005)
    [19] Z. Z. Xing, arXiv:1309.2102(unpublished)
    [20] W. Grimus, A. S. Joshipura, S. Kaneko, L. Lavoura, H. Sawanaka, and M. Tanimoto, Nucl. Phys. B, 713:151(2005); Z. H. Zhao, arXiv:1703.04984; W. Rodejohann and X.J. Xu, arXiv:1705.02027
    [21] P. A. R. Ade et al (Planck Collaboration), Astron. Astrophys., 594:A13(2016)
    [22] W. H. Furry, Phys. Rev. D,56:1184(1939)
    [23] S. M. Bilenky and C. Giunti, Int. J. Mod. Phys. A, 30:1530001(2015)
    [24] Z. Z. Xing and Z. H. Zhao, Eur. Phys. J. C, 77:192(2017); Z. Z. Xing, Z. H. Zhao, and Y. L. Zhou, Eur. Phys. J. C, 75:423(2015)
    [25] H. Fritzsch, Phys. Lett. B, 73:317(1978); Nucl. Phys. B, 155:189(1979)
    [26] Z. Z. Xing, Phys. Lett. B, 550:178(2002); S. Zhou and Z. Z. Xing, Eur. Phys. J. C, 38:495(2005)
    [27] P. H. Frampton, S. L. Glashow, and D. Marfatia, Phys. Lett. B, 536:79(2002)
    [28] Z. Z. Xing, Phys. Lett. B, 530:159(2002); Phys. Lett. B, 539:85(2002); H. Fritzsch, Z. Z. Xing, and S. Zhou, JHEP, 1109:083(2011)
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Zhi-zhong Xing and Jing-yu Zhu. Neutrino mass ordering and μ-τ reflection symmetry breaking[J]. Chinese Physics C, 2017, 41(12): 123103. doi: 10.1088/1674-1137/41/12/123103
Zhi-zhong Xing and Jing-yu Zhu. Neutrino mass ordering and μ-τ reflection symmetry breaking[J]. Chinese Physics C, 2017, 41(12): 123103.  doi: 10.1088/1674-1137/41/12/123103 shu
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Received: 2017-07-14
Revised: 2017-09-22
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    Supported by National Natural Science Foundation of China (11135009, 11375207)

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Neutrino mass ordering and μ-τ reflection symmetry breaking

    Corresponding author: Zhi-zhong Xing,
    Corresponding author: Jing-yu Zhu,
  • 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
  • 2. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3. Center for High Energy Physics, Peking University, Beijing 100080, China
Fund Project:  Supported by National Natural Science Foundation of China (11135009, 11375207)

Abstract: If the neutrino mass spectrum turns out to be m3 < m1 < m2, it may be relabeled as m'1 < m'2 < m'3 such that all the masses of fundamental fermions with the same electrical charges are in order. In this case the columns of the 3×3 lepton flavor mixing matrix U should be reordered accordingly, and the resulting pattern U' may involve one or two large mixing angles in the standard parametrization or its variations. Since the Majorana neutrino mass matrix remains unchanged in such a mass relabeling, a possible μ-τ reflection symmetry is respected in this connection and its breaking effects are model-independently constrained at the 3σ level by using current experimental data.

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