Skip to main content
Log in

Large θ 13 from finite quantum corrections in quasi-degenerate neutrino mass spectrum

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

Abstract

We study finite quantum corrections for several well known neutrino mixing matrices and find that it is hard to account for the large value of θ 13 recently reported by T2K and MINOS. To nicely reproduce all experimentally favored neutrino mixing angles and masses, we propose a new neutrino mixing pattern.

We also demonstrate a simple realization by slightly extending the standard model to illustrate the quantum corrections.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G.L. Fogli, E. Lisi, A. Marrone, A. Palazzo and A.M. Rotunno, Hints of θ 13 > 0 from global neutrino data analysis, Phys. Rev. Lett. 101 (2008) 141801 [arXiv:0806.2649] [SPIRES].

    Article  ADS  Google Scholar 

  2. G.L. Fogli, E. Lisi, A. Marrone, A. Palazzo and A.M. Rotunno, SNO, KamLAND and neutrino oscillations: θ 13, in Talk given at 13th International Workshop on Neutrino Telescopes, Venice Italy March 10–13 2009 [arXiv:0905.3549] [SPIRES].

  3. T. Schwetz, M.A.Tórtola and J.W.F. Valle, Three-flavour neutrino oscillation update, New J. Phys. 10 (2008) 113011 [arXiv:0808.2016] [SPIRES].

    Article  ADS  Google Scholar 

  4. T. Schwetz, M.A.Tórtola and J.W.F. Valle, Global neutrino data and recent reactor fluxes: the status of three-flavour oscillation parameters, New J. Phys. 13 (2011) 063004 [arXiv:1103.0734] [SPIRES].

    Article  ADS  Google Scholar 

  5. M.C. Gonzalez-Garcia, M. Maltoni and J. Salvado, Updated global fit to three neutrino mixing: status of the hints of θ 13 > 0, JHEP 04 (2010) 056 [arXiv:1001.4524] [SPIRES].

    Article  ADS  Google Scholar 

  6. 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] [SPIRES].

    Article  ADS  Google Scholar 

  7. MINOS collaboration, P. Adamson et al., Improved search for muon-neutrino to electron-neutrino oscillations in MINOS, arXiv:1108.0015 [SPIRES].

  8. G.L. Fogli, E. Lisi, A. Marrone, A. Palazzo and A.M. Rotunno, Evidence of θ 13 > 0 from global neutrino data analysis, arXiv:1106.6028 [SPIRES].

  9. T. Schwetz, M. Tórtola and J.W.F. Valle, Where we are on θ 13 : addendum to ‘Global neutrino data and recent reactor fluxes: status of three-flavour oscillation parameters’, arXiv:1108.1376 [SPIRES].

  10. Z.-Z. Xing, The T2K indication of relatively large θ 13 and a natural perturbation to the democratic neutrino mixing pattern, arXiv:1106.3244 [SPIRES].

  11. 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] [SPIRES].

    Article  ADS  Google Scholar 

  12. X.-G. He and A. Zee, Minimal modification to tri-bimaximal mixing, arXiv:1106.4359 [SPIRES].

  13. S. Zhou, Relatively large θ 13 and nearly maximal θ 23 from the approximate S3 symmetry of lepton mass matrices, arXiv:1106.4808 [SPIRES].

  14. 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] [SPIRES].

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  16. D. Meloni, Bimaximal mixing and large θ 13 in a SUSY SU(5) model based on S4, arXiv:1107.0221 [SPIRES].

  17. W. Chao and Y.-J. Zheng, Relatively large θ 13 from modification to the tri-bimaximal, bimaximal and democratic neutrino mixing matrices, arXiv:1107.0738 [SPIRES].

  18. S. Dev, S. Gupta and R.R. Gautam, Parametrizing the lepton mixing matrix in terms of charged lepton corrections, arXiv:1107.1125 [SPIRES].

  19. S. Morisi, K.M. Patel and E. Peinado, Model for T2K indication with maximal atmospheric angle and tri-maximal solar angle, arXiv:1107.0696 [SPIRES].

  20. H. Zhang and S. Zhou, Radiative corrections and explicit perturbations to the tetra-maximal neutrino mixing with large θ 13, arXiv:1107.1097 [SPIRES].

  21. R.d.A. Toorop, F. Feruglio and C. Hagedorn, Discrete flavour symmetries in light of T2K, Phys. Lett. B 703 (2011) 447 [arXiv:1107.3486] [SPIRES].

    ADS  Google Scholar 

  22. W. Rodejohann, H. Zhang and S. Zhou, Systematic search for successful neutrino mixing patterns with nonzero θ 13, arXiv:1107.3970 [SPIRES].

  23. S.N. Gninenko, Sterile neutrino decay as a common origin for LSND/MiniBooNE and T2K excess events, arXiv:1107.0279 [SPIRES].

  24. X. Chu, M. Dhen and T. Hambye, Relations among neutrino observables in the light of a large θ 13 angle, arXiv:1107.1589 [SPIRES].

  25. P.S. Bhupal Dev, R.N. Mohapatra and M. Severson, Neutrino mixings in SO(10) with type II seesaw and θ 13, arXiv:1107.2378 [SPIRES].

  26. S.F. King, Tri-bimaximal neutrino mixing and θ 13, Phys. Lett. B 675 (2009) 347 [arXiv:0903.3199] [SPIRES].

    ADS  Google Scholar 

  27. S. Goswami, S.T. Petcov, S. Ray and W. Rodejohann, Large U e3 and tri-bimaximal mixing, Phys. Rev. D 80 (2009) 053013 [arXiv:0907.2869] [SPIRES].

    ADS  Google Scholar 

  28. G. Altarelli, F. Feruglio and L. Merlo, Revisiting bimaximal neutrino mixing in a model with S 4 discrete symmetry, JHEP 05 (2009) 020 [arXiv:0903.1940] [SPIRES].

    Article  ADS  Google Scholar 

  29. Z.-Z. Xing, A shift from democratic to tri-bimaximal neutrino mixing with relatively large θ 13, Phys. Lett. B 696 (2011) 232 [arXiv:1011.2954] [SPIRES].

    ADS  Google Scholar 

  30. Y. Shimizu, M. Tanimoto and A. Watanabe, Breaking tri-bimaximal mixing and large θ 13, Prog. Theor. Phys. 126 (2011) 81 [arXiv:1105.2929] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  31. J.A. Escobar, Flavor ∆(54) in SU(5) SUSY model, arXiv:1102.1649 [SPIRES].

  32. C. Liu, On supersymmetries, Nucl. Phys. Proc. Suppl. 175 176 (2008) 233 [arXiv:1107.1460] [SPIRES].

    Article  Google Scholar 

  33. T. Araki, C.-Q. Geng and Z.-Z. Xing, Finite quantum corrections to the tribimaximal neutrino mixing, Phys. Lett. B 699 (2011) 276 [arXiv:1012.2970] [SPIRES].

    ADS  Google Scholar 

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

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  36. P.F. Harrison and W.G. Scott, Symmetries and generalisations of tri-bimaximal neutrino mixing, Phys. Lett. B 535 (2002) 163 [hep-ph/0203209] [SPIRES].

    ADS  Google Scholar 

  37. F. Vissani, A study of the scenario with nearly degenerate Majorana neutrinos, hep-ph/9708483 [SPIRES].

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

    ADS  Google Scholar 

  39. 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] [SPIRES].

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  41. 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] [SPIRES].

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  43. Z.-Z. Xing, A shift from democratic to tri-bimaximal neutrino mixing with relatively large θ 13, Phys. Lett. B 696 (2011) 232 [arXiv:1011.2954] [SPIRES].

    ADS  Google Scholar 

  44. C. Jarlskog, Commutator of the quark mass matrices in the standard electroweak model and a measure of maximal CP-violation, Phys. Rev. Lett. 55 (1985) 1039 [SPIRES].

    Article  ADS  Google Scholar 

  45. J.A. Casas, J.R. Espinosa, A. Ibarra and I. Navarro, General RG equations for physical neutrino parameters and their phenomenological implications, Nucl. Phys. B 573 (2000) 652 [hep-ph/9910420] [SPIRES].

    Article  ADS  Google Scholar 

  46. S. Antusch, J. Kersten, M. Lindner and M. Ratz, Running neutrino masses, mixings and CP phases: analytical results and phenomenological consequences, Nucl. Phys. B 674 (2003) 401 [hep-ph/0305273] [SPIRES].

    Article  ADS  Google Scholar 

  47. Z.-Z. Xing, H. Zhang and S. Zhou, Updated values of running quark and lepton masses, Phys. Rev. D 77 (2008) 113016 [arXiv:0712.1419] [SPIRES].

    ADS  Google Scholar 

  48. W. Konetschny and W. Kummer, Nonconservation of total lepton number with scalar bosons, Phys. Lett. B 70 (1977) 433 [SPIRES].

    ADS  Google Scholar 

  49. J. Schechter and J.W.F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev. D 22 (1980) 2227 [SPIRES].

    ADS  Google Scholar 

  50. T.P. Cheng and L.-F. Li, Neutrino masses, mixings and oscillations in SU(2) × U(1) models of electroweak interactions, Phys. Rev. D 22 (1980) 2860 [SPIRES].

    ADS  Google Scholar 

  51. G. Lazarides, Q. Shafi and C. Wetterich, Proton lifetime and fermion masses in an SO(10) model, Nucl. Phys. B 181 (1981) 287 [SPIRES].

    Article  ADS  Google Scholar 

  52. G.B. Gelmini and M. Roncadelli, Left-handed neutrino mass scale and spontaneously broken lepton number, Phys. Lett. B 99 (1981) 411 [SPIRES].

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Takeshi Araki.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Araki, T., Geng, CQ. Large θ 13 from finite quantum corrections in quasi-degenerate neutrino mass spectrum. J. High Energ. Phys. 2011, 139 (2011). https://doi.org/10.1007/JHEP09(2011)139

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP09(2011)139

Keywords

Navigation