Advertisement

Quasi-Dirac neutrinos and solar neutrino data

  • F. Rossi-TorresEmail author
  • A. C. B. Machado
  • V. Pleitez
Regular Article - Theoretical Physics
  • 97 Downloads

Abstract

We will present an analysis of the solar neutrino data in the context of a 3+1 quasi-Dirac neutrino model in which the lepton mixing matrix is given at tree level by the tribimaximal matrix. When radiative corrections are taken into account, new effects in neutrino oscillations, as ν e ν s , could appear. This oscillation is constrained by the solar neutrino data. In our analysis, we have found an allowed region for our two free parameters ϵ and m 1. The radiative correction, ϵ, can vary approximately from 5×10−9 to 10−6 and the calculated fourth mass eigenstate, m 4, varies in the interval 0.01–0.2 eV, at 2σ level. These results are in agreement with the ones presented in the literature in 2+1 and 2+2 quasi-Dirac models.

Keywords

Radiative Correction Neutrino Oscillation Sterile Neutrino Solar Neutrino Mass Eigenstates 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

FR-T would like to thank CNPq for the financial support, ACBM would like to thank CAPES for the financial support and VP would like to thank CNPq and FAPESP for partial financial support. One of us (FR-T) would like to thank the important discussions and suggestions made by A.M. Gago, O.L.G. Peres, M.M. Guzzo and P.C. de Holanda during the elaboration of this manuscript.

References

  1. 1.
    L. Wolfenstein, Nucl. Phys. B 186, 147 (1981) ADSCrossRefGoogle Scholar
  2. 2.
    S.T. Petcov, Phys. Lett. B 110, 245 (1982) ADSCrossRefGoogle Scholar
  3. 3.
    M. Doi, M. Kenmoku, T. Kotani, H. Nishiura, E. Takasugi, Prog. Theor. Phys. 70, 1331 (1983) ADSCrossRefGoogle Scholar
  4. 4.
    J.W.F. Valle, Phys. Rev. D 27, 1672 (1983) ADSCrossRefGoogle Scholar
  5. 5.
    A.C.B. Machado, V. Pleitez, Phys. Lett. B 698, 128 (2011). arXiv:1008.4572 [hep-ph] ADSCrossRefGoogle Scholar
  6. 6.
    R. Allahverdi, B. Dutta, R.N. Mohapatra, Phys. Lett. B 695, 181 (2011). arXiv:1008.1232 [hep-ph] ADSCrossRefGoogle Scholar
  7. 7.
    J. Barry, R.N. Mohapatra, W. Rodejohann, Phys. Rev. D 83, 113012 (2011). arXiv:1012.1761 [hep-ph] ADSCrossRefGoogle Scholar
  8. 8.
    P.F. Harrison, D.H. Perkins, W.G. Scott, Phys. Lett. B 530, 167 (2002). hep-ph/0202074 ADSCrossRefGoogle Scholar
  9. 9.
    F.P. An et al. (DAYA-BAY Collaboration), Phys. Rev. Lett. 108, 171803 (2012). arXiv:1203.1669 [hep-ex] ADSCrossRefGoogle Scholar
  10. 10.
    J.K. Ahn et al. (RENO Collaboration), Phys. Rev. Lett. 108, 191802 (2012). arXiv:1204.0626 [hep-ex] ADSCrossRefGoogle Scholar
  11. 11.
    Y. Abe et al. (Double Chooz Collaboration), Phys. Rev. D 86, 052008 (2012). arXiv:1207.6632 [hep-ex] ADSCrossRefGoogle Scholar
  12. 12.
    A.C.B. Machado, V. Pleitez, J. Phys. G, Nucl. Part. Phys. 40, 035002 (2013). arXiv:1105.6064 [hep-ph] ADSCrossRefGoogle Scholar
  13. 13.
    A. de Gouvea, W.-C. Huang, J. Jenkins, Phys. Rev. D 80, 073007 (2009). arXiv:0906.1611 [hep-ph] ADSCrossRefGoogle Scholar
  14. 14.
    G.L. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo, A.M. Rotunno, Phys. Rev. D 86, 013012 (2012). arXiv:1205.5254 [hep-ph] ADSCrossRefGoogle Scholar
  15. 15.
    D.V. Forero, M. Tortola, J.W.F. Valle, Phys. Rev. D 86, 073012 (2012). arXiv:1205.4018 [hep-ph] ADSCrossRefGoogle Scholar
  16. 16.
    J. Beringer et al. (Particle Data Group Collaboration), Phys. Rev. D 86, 010001 (2012) ADSCrossRefGoogle Scholar
  17. 17.
    K.N. Abazajian et al., arXiv:1204.5379
  18. 18.
    B. Kayser, arXiv:1207.2167 and references therein
  19. 19.
    A. Aguilar et al. (LSND Collaboration), Phys. Rev. D 64, 112007 (2001). hep-ex/0104049 ADSCrossRefGoogle Scholar
  20. 20.
    A.A. Aguilar-Arevalo et al. (MiniBooNE Collaboration), arXiv:1207.4809 [hep-ex]
  21. 21.
    T.A. Mueller, D. Lhuillier, M. Fallot, A. Letourneau, S. Cormon, M. Fechner, L. Giot, T. Lasserre et al., Phys. Rev. C 83, 054615 (2011). arXiv:1101.2663 [hep-ex] ADSCrossRefGoogle Scholar
  22. 22.
    P. Huber, Phys. Rev. C 84, 024617 (2011). Erratum-ibid. C 85, 029901 (2012). arXiv:1106.0687 [hep-ph] ADSCrossRefGoogle Scholar
  23. 23.
    C. Giunti, M. Laveder, Phys. Rev. C 83, 065504 (2011). arXiv:1006.3244 [hep-ph] ADSCrossRefGoogle Scholar
  24. 24.
    E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 192, 18 (2011). arXiv:1001.4538 [astro-ph.CO] ADSCrossRefGoogle Scholar
  25. 25.
    B.T. Cleveland, T. Daily, R. Davis Jr., J.R. Distel, K. Lande, C.K. Lee, P.S. Wildenhain, J. Ullman, Astrophys. J. 496, 505 (1998) ADSCrossRefGoogle Scholar
  26. 26.
    W. Hampel et al. (GALLEX Collaboration), Phys. Lett. B 447, 127 (1999) ADSCrossRefGoogle Scholar
  27. 27.
    J.N. Abdurashitov et al. (SAGE Collaboration), J. Exp. Theor. Phys. 95, 181 (2002). [Zh. Eksp. Teor. Fiz. 122, 211 (2002)]. astro-ph/0204245 ADSCrossRefGoogle Scholar
  28. 28.
    Y. Fukuda et al. (Kamiokande Collaboration), Phys. Rev. Lett. 77, 1683 (1996) ADSCrossRefGoogle Scholar
  29. 29.
    J. Hosaka et al. (Super-Kamiokande Collaboration), Phys. Rev. D 73, 112001 (2006). hep-ex/0508053 ADSCrossRefGoogle Scholar
  30. 30.
    J. Boger et al. (SNO Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A, Accel. Spectrom. Detect. Assoc. Equip. 449, 172 (2000). nucl-ex/9910016 ADSCrossRefGoogle Scholar
  31. 31.
    G. Alimonti et al. (Borexino Collaboration), Nucl. Instrum. Methods Phys. Res., Sect. A, Accel. Spectrom. Detect. Assoc. Equip. 600, 568 (2009). arXiv:0806.2400 [physics.ins-det] ADSCrossRefGoogle Scholar
  32. 32.
    M.C. Gonzalez-Garcia, M. Maltoni, Phys. Rep. 460, 1 (2008). arXiv:0704.1800 [hep-ph] ADSCrossRefGoogle Scholar
  33. 33.
    V. Antonelli, L. Miramonti, C. Pena-Garay, A. Serenelli, Adv. High Energy Phys. 2013, 351926 (2013). arXiv:1208.1356 [hep-ex] Google Scholar
  34. 34.
    W.C. Haxton, R.G. Hamish Robertson, A.M. Serenelli, arXiv:1208.5723 [astro-ph.SR]
  35. 35.
    G. Bellini, J. Benziger, D. Bick, S. Bonetti, G. Bonfini, M. Buizza Avanzini, B. Caccianiga, L. Cadonati et al., Phys. Rev. Lett. 107, 141302 (2011). arXiv:1104.1816 [hep-ex] ADSCrossRefGoogle Scholar
  36. 36.
    G. Bellini et al. (Borexino Collaboration), Phys. Rev. Lett. 108, 051302 (2012). arXiv:1110.3230 [hep-ex] ADSCrossRefGoogle Scholar
  37. 37.
    Q.R. Ahmad et al. (SNO Collaboration), Phys. Rev. Lett. 89, 011301 (2002). nucl-ex/0204008 ADSCrossRefGoogle Scholar
  38. 38.
    S.N. Ahmed et al. (SNO Collaboration), Phys. Rev. Lett. 92, 181301 (2004). nucl-ex/0309004 ADSCrossRefGoogle Scholar
  39. 39.
    B. Aharmim et al. (SNO Collaboration), Phys. Rev. C 72, 055502 (2005). nucl-ex/0502021 ADSCrossRefGoogle Scholar
  40. 40.
    M. Altmann et al. (GNO Collaboration), Phys. Lett. B 616, 174 (2005). hep-ex/0504037 ADSCrossRefGoogle Scholar
  41. 41.
    J.N. Bahcall, A.M. Serenelli, S. Basu, Astrophys. J. Suppl. Ser. 165, 400 (2006). Data and other relevant information can be found in http://www.sns.ias.edu/~jnb/. astro-ph/0511337 ADSCrossRefGoogle Scholar
  42. 42.
    J.N. Bahcall, A.M. Serenelli, S. Basu, Astrophys. J. 621, L85 (2005). astro-ph/0412440 ADSCrossRefGoogle Scholar
  43. 43.
    C. Giunti, C.W. Kim, Fundamentals of Neutrino Physics and Astrophysics (Oxford University Press, Oxford, 2007), 710 p. CrossRefGoogle Scholar
  44. 44.
    L. Wolfenstein, Phys. Rev. D 17, 2369 (1978) ADSCrossRefGoogle Scholar
  45. 45.
    S.P. Mikheev, A.Y. Smirnov, Sov. J. Nucl. Phys. 42, 913 (1985). [Yad. Fiz. 42, 1441 (1985)] Google Scholar
  46. 46.
    T.-K. Kuo, J.T. Pantaleone, Rev. Mod. Phys. 61, 937 (1989) ADSCrossRefGoogle Scholar
  47. 47.
    M. Cirelli, G. Marandella, A. Strumia, F. Vissani, Nucl. Phys. B 708, 215 (2005). hep-ph/0403158 ADSCrossRefGoogle Scholar
  48. 48.
    E.W. Otten, C. Weinheimer, Rep. Prog. Phys. 71, 086201 (2008). arXiv:0909.2104 [hep-ex] ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • F. Rossi-Torres
    • 1
    Email author
  • A. C. B. Machado
    • 2
  • V. Pleitez
    • 1
  1. 1.Instituto de Física TeóricaUniversidade Estadual PaulistaBarra Funda, São PauloBrazil
  2. 2.Centro de Ciências Naturais e HumanasUniversidade Federal do ABCSanto AndréBrazil

Personalised recommendations