Skip to main content
SpringerLink
Log in

Relatively large Theta13 from modification to the tri-bimaximal, bimaximal and democratic neutrino mixing matrices

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

Inspired by the indication of a relatively large θ 13 from accelerator and reactor neutrino oscillation experiments, we provide a systematic study of general modifications to the three well-studied neutrino mixing patterns, i.e., tri-bimaximal, bimaximal and democratic lepton mixing matrices. The correlation between θ 13 and the other two neutrino mixing angles are derived for each types of additional rotations. Predictions on θ 12 and θ 23 are also studied. Our study shows that, although some types of additional rotations are already excluded by the current global fit data of neutrino mixing angles, several types of additional rotations still survive. Our results may provide a guideline for the model building in neutrino physics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Particle Data Group collaboration, J. Beringer et al., Review of Particle Physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].

    ADS  Google Scholar 

  2. L.-L. Chau and W.-Y. Keung, Comments on the Parametrization of the Kobayashi-Maskawa Matrix, Phys. Rev. Lett. 53 (1984) 1802 [INSPIRE].

    Article  ADS  Google Scholar 

  3. M. Gonzalez-Garcia, M. Maltoni, J. Salvado and T. Schwetz, Global fit to three neutrino mixing: critical look at present precision, JHEP 12 (2012) 123 [arXiv:1209.3023] [INSPIRE].

    Article  ADS  Google Scholar 

  4. T2K collaboration, K. Abe et al., Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam, Phys. Rev. Lett. 107 (2011) 041801 [arXiv:1106.2822] [INSPIRE].

    Article  ADS  Google Scholar 

  5. DAYA-BAY collaboration, F. An et al., Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108 (2012) 171803 [arXiv:1203.1669] [INSPIRE].

    Article  ADS  Google Scholar 

  6. RENO collaboration, J. Ahn et al., Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment, Phys. Rev. Lett. 108 (2012) 191802 [arXiv:1204.0626] [INSPIRE].

    Article  ADS  Google Scholar 

  7. Z.-Z. Xing, Implications of the Daya Bay observation of θ 13 on the leptonic flavor mixing structure and CP-violation, Chin. Phys. C 36 (2012) 281 [arXiv:1203.1672] [INSPIRE].

    Article  ADS  Google Scholar 

  8. S. King, Tri-bimaximal Neutrino Mixing and θ 13, Phys. Lett. B 675 (2009) 347 [arXiv:0903.3199] [INSPIRE].

    Article  ADS  Google Scholar 

  9. Z.-Z. Xing, The T2K Indication of Relatively Large θ 13 and a Natural Perturbation to the Democratic Neutrino Mixing Pattern, Chin. Phys. C 36 (2012) 101 [arXiv:1106.3244] [INSPIRE].

    Article  ADS  Google Scholar 

  10. X.-G. He and A. Zee, Minimal Modification to Tri-bimaximal Mixing, Phys. Rev. D 84 (2011) 053004 [arXiv:1106.4359] [INSPIRE].

    ADS  Google Scholar 

  11. Y.-j. Zheng and B.-Q. Ma, Re-Evaluation of Neutrino Mixing Pattern According to Latest T2K result, Eur. Phys. J. Plus 127 (2012) 7 [arXiv:1106.4040] [INSPIRE].

    Article  Google Scholar 

  12. N. Haba and R. Takahashi, Predictions via large θ 13 from cascades, Phys. Lett. B 702 (2011) 388 [arXiv:1106.5926] [INSPIRE].

    Article  ADS  Google Scholar 

  13. E. Ma and D. Wegman, Nonzero θ 13 for neutrino mixing in the context of A 4 symmetry, Phys. Rev. Lett. 107 (2011) 061803 [arXiv:1106.4269] [INSPIRE].

    Article  ADS  Google Scholar 

  14. S. Zhou, Relatively large θ 13 and nearly maximal θ 23 from the approximate S3 symmetry of lepton mass matrices, Phys. Lett. B 704 (2011) 291 [arXiv:1106.4808] [INSPIRE].

    Article  ADS  Google Scholar 

  15. D. Meloni, Bimaximal mixing and large θ 13 in a SUSY SU(5) model based on S4, JHEP 10 (2011) 010 [arXiv:1107.0221] [INSPIRE].

    Article  ADS  Google Scholar 

  16. T. Araki, Getting at large θ 13 with almost maximal θ 23 from tri-bimaximal mixing, Phys. Rev. D 84 (2011) 037301 [arXiv:1106.5211] [INSPIRE].

    ADS  Google Scholar 

  17. P. Harrison, D. Perkins and W. Scott, A Redetermination of the neutrino mass squared difference in tri-maximal mixing with terrestrial matter effects, Phys. Lett. B 458 (1999) 79 [hep-ph/9904297] [INSPIRE].

    Article  ADS  Google Scholar 

  18. P. Harrison, D. Perkins and W. Scott, Tri-bimaximal mixing and the neutrino oscillation data, Phys. Lett. B 530 (2002) 167 [hep-ph/0202074] [INSPIRE].

    Article  ADS  Google Scholar 

  19. Z.-z. Xing, Nearly tri bimaximal neutrino mixing and CP-violation, Phys. Lett. B 533 (2002) 85 [hep-ph/0204049] [INSPIRE].

    ADS  Google Scholar 

  20. P. Harrison and W. Scott, Symmetries and generalizations of tri-bimaximal neutrino mixing, Phys. Lett. B 535 (2002) 163 [hep-ph/0203209] [INSPIRE].

    Article  ADS  Google Scholar 

  21. P. Harrison and W. Scott, Permutation symmetry, tri-bimaximal neutrino mixing and the S3 group characters, Phys. Lett. B 557 (2003) 76 [hep-ph/0302025] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. X.G. He and A. Zee, Some simple mixing and mass matrices for neutrinos, Phys. Lett. B 560 (2003) 87 [hep-ph/0301092] [INSPIRE].

    Article  ADS  Google Scholar 

  23. L. Wolfenstein, Oscillations Among Three Neutrino Types and CP-violation, Phys. Rev. D 18 (1978) 958 [INSPIRE].

    ADS  Google Scholar 

  24. Y. Yamanaka, H. Sugawara and S. Pakvasa, Permutation symmetries and the fermion mass matrix, Phys. Rev. D 25 (1982) 1895 [Erratum ibid. D 29 (1984) 2135] [INSPIRE].

  25. N. Li and B.-Q. Ma, Parametrization of neutrino mixing matrix in tri-bimaximal mixing pattern, Phys. Rev. D 71 (2005) 017302 [hep-ph/0412126] [INSPIRE].

    ADS  Google Scholar 

  26. F. Vissani, A Study of the scenario with nearly degenerate Majorana neutrinos, hep-ph/9708483 [INSPIRE].

  27. V.D. Barger, S. Pakvasa, T.J. Weiler and K. Whisnant, Bimaximal mixing of three neutrinos, Phys. Lett. B 437 (1998) 107 [hep-ph/9806387] [INSPIRE].

    Article  ADS  Google Scholar 

  28. A.J. Baltz, A.S. Goldhaber and M. Goldhaber, The Solar neutrino puzzle: An Oscillation solution with maximal neutrino mixing, Phys. Rev. Lett. 81 (1998) 5730 [hep-ph/9806540] [INSPIRE].

    Article  ADS  Google Scholar 

  29. I. Stancu and D.V.a. Ahluwalia, L/E flatness of the electron-like event ratio in Super-Kamiokande and a degeneracy in neutrino masses, Phys. Lett. B 460 (1999) 431 [hep-ph/9903408] [INSPIRE].

    Article  ADS  Google Scholar 

  30. H. Georgi and S.L. Glashow, Neutrinos on Earth and in the heavens, Phy. Rev. D 61 (2000) 097301.

    ADS  Google Scholar 

  31. N. Li and B.-Q. Ma, A New parametrization of the neutrino mixing matrix, Phys. Lett. B 600 (2004) 248 [hep-ph/0408235] [INSPIRE].

    Article  ADS  Google Scholar 

  32. H. Fritzsch and Z.-Z. Xing, Lepton mass hierarchy and neutrino oscillations, Phys. Lett. B 372 (1996) 265 [hep-ph/9509389] [INSPIRE].

    Article  ADS  Google Scholar 

  33. H. Fritzsch and Z.-z. Xing, Large leptonic flavor mixing and the mass spectrum of leptons, Phys. Lett. B 440 (1998) 313 [hep-ph/9808272] [INSPIRE].

    Article  ADS  Google Scholar 

  34. H. Fritzsch and Z.-z. Xing, Maximal neutrino mixing and maximal CP-violation, Phys. Rev. D 61 (2000) 073016 [hep-ph/9909304] [INSPIRE].

    ADS  Google Scholar 

  35. K. Babu, E. Ma and J. Valle, Underlying A 4 symmetry for the neutrino mass matrix and the quark mixing matrix, Phys. Lett. B 552 (2003) 207 [hep-ph/0206292] [INSPIRE].

    Article  ADS  Google Scholar 

  36. P. Harrison and W. Scott, μ-τ reflection symmetry in lepton mixing and neutrino oscillations, Phys. Lett. B 547 (2002) 219 [hep-ph/0210197] [INSPIRE].

    Article  ADS  Google Scholar 

  37. H.-J. He and F.-R. Yin, Common Origin of μ-τ and CP Breaking in Neutrino Seesaw, Baryon Asymmetry and Hidden Flavor Symmetry, Phys. Rev. D 84 (2011) 033009 [arXiv:1104.2654] [INSPIRE].

    ADS  Google Scholar 

  38. G. Altarelli, F. Feruglio, L. Merlo and E. Stamou, Discrete Flavour Groups, theta 13 and Lepton Flavour Violation, JHEP 08 (2012) 021 [arXiv:1205.4670] [INSPIRE].

    Article  ADS  Google Scholar 

  39. G. Altarelli, F. Feruglio and L. Merlo, Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries, arXiv:1205.5133 [INSPIRE].

  40. F. Bazzocchi and L. Merlo, Neutrino Mixings and the S4 Discrete Flavour Symmetry, arXiv:1205.5135 [INSPIRE].

  41. X. Zhang and B.-Q. Ma, A Prediction of neutrino mixing matrix with CP-violating phase, Phys. Lett. B 713 (2012) 202 [arXiv:1203.2906] [INSPIRE].

    Article  ADS  Google Scholar 

  42. X. Zhang and B.-Q. Ma, On the CP-violating phase δ CP in fermion mixing matrices, arXiv:1204.6604 [INSPIRE].

  43. W. Chao and Y.J. Zheng, Measures on lepton mixing angles and CP-violating phase, to appear.

Download references

Author information

Authors and Affiliations

  1. Center for High Energy Physics, Peking University, Beijing, 100871, China

    Wei Chao

  2. Department of Physics, Shandong University, Jinan, Shandong, 250100, China

    Ya-juan Zheng

  3. School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, 100871, China

    Ya-juan Zheng

Authors
  1. Wei Chao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ya-juan Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wei Chao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chao, W., Zheng, Yj. Relatively large Theta13 from modification to the tri-bimaximal, bimaximal and democratic neutrino mixing matrices. J. High Energ. Phys. 2013, 44 (2013). https://doi.org/10.1007/JHEP02(2013)044

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP02(2013)044

Keywords

Search

Navigation