Advertisement

Second-order corrections to neutrino two-flavor oscillation parameters in the wave packet approach

Theoretical Physics

Abstract

We report about an analytic study involving the intermediate wave packet formalism for quantifying the physically relevant information which appears in the neutrino two-flavor conversion formula and helping us to obtain more precise limits and ranges for neutrino flavor oscillation. By following the sequence of analytic approximations where we assume a strictly peaked momentum distribution and consider the second-order corrections in a power series expansion of the energy, we point out a residual time-dependent phase which, coupled with the spreading/slippage effects, can subtly modify the neutrino-oscillation parameters and limits. Such second-order effects are usually ignored in the relativistic wave packet treatment, but they present an evident dependence on the propagation regime so that some small modifications to the oscillation pattern, even in the ultra-relativistic limit, can be quantified. These modifications are implemented in the confrontation with the neutrino-oscillation parameter range (mass-squared difference Δm2 and the mixing angle θ) where we assume the same wave packet parameters previously noticed in the literature in a kind of toy model for some reactor experiments. Generically speaking, our analysis parallels the recent experimental purposes which are concerned with higher precision parameter measurements. To summarize, we show that the effectiveness of a more accurate determination of Δm2 and θ depends on the wave packet width a and on the averaged propagating energy flux Ē which still correspond to open variables for some classes of experiments.

Keywords

Wave Packet Oscillation Parameter Solar Neutrino Propagation Regime Neutrino Energy 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    K. Zuber, Phys. Rep. 305, 295 (1998)CrossRefGoogle Scholar
  2. 2.
    W.M. Alberico, S.M. Bilenky, Phys. Part. Nucl. 35, 297 (2004)Google Scholar
  3. 3.
    R.D. McKeown, P. Vogel, Phys. Rep. 395, 315 (2004)CrossRefADSGoogle Scholar
  4. 4.
    M. Beuthe, Phys. Rep. 375, 105 (2003)MathSciNetCrossRefADSGoogle Scholar
  5. 5.
    C. Giunti, C.W. Kim, Phys. Rev. D 58, 017301 (1998)CrossRefADSGoogle Scholar
  6. 6.
    M. Zralek, Acta Phys. Pol. B 29, 3925 (1998)ADSGoogle Scholar
  7. 7.
    A.E. Bernardini, S. De Leo, Phys. Rev. D 71, 076008-1 (2005)CrossRefADSGoogle Scholar
  8. 8.
    M. Blasone, G. Vitiello, Ann. Phys. 244, 283 (1995)CrossRefADSGoogle Scholar
  9. 9.
    C. Giunti, JHEP 0211, 017 (2002)CrossRefGoogle Scholar
  10. 10.
    M. Blasone, P.P. Pacheco, H.W. Tseung, Phys. Rev. D 67, 073011 (2003)CrossRefADSGoogle Scholar
  11. 11.
    PDG Collaboration, L. Alvarez-Gaumé et al., Phys. Lett. B 592, 451 (2004)Google Scholar
  12. 12.
    B. Kayser, Phys. Rev. D 24, 110 (1981)CrossRefADSGoogle Scholar
  13. 13.
    B. Kayser, F. Gibrat-Debu, F. Perrier, The Physics of Massive Neutrinos (Cambridge University Press, Cambridge, 1989)Google Scholar
  14. 14.
    PDG Collaboration, L. Alvarez-Gaumé et al., Phys. Lett. B 592, 145 (2004)Google Scholar
  15. 15.
    S. De Leo, C.C. Nishi, P. Rotelli, Int. J. Mod. Phys. A 19, 677 (2004)CrossRefADSGoogle Scholar
  16. 16.
    J. Rich, Phys. Rev. D 48, 4318 (1993)CrossRefADSGoogle Scholar
  17. 17.
    J. Field, Eur. Phys. J. C 30, 305 (2003)CrossRefADSGoogle Scholar
  18. 18.
    W. Grimus, P. Stockinger, S. Mohanty, Phys. Rev. D 59, 013011 (1999)CrossRefADSGoogle Scholar
  19. 19.
    A.E. Bernardini, S. De Leo, Phys. Rev. D 70, 053010 (2004)CrossRefADSGoogle Scholar
  20. 20.
    J.C. Bahcall, C. Penaã-Garay, JHEP 0311, 004 (2003)CrossRefADSGoogle Scholar
  21. 21.
    A. Bandyopadhyay, S. Choubey, S. Goswani, Phys. Rev. D 67, 113011 (2003)CrossRefADSGoogle Scholar
  22. 22.
    A. Bandyopadhyay et al., Phys. Lett. B 583, 134 (2004)CrossRefADSGoogle Scholar
  23. 23.
    K. Kiers, S. Nussinov, N. Weiss, Phys. Rev. D 53, 537 (1996)CrossRefADSGoogle Scholar
  24. 24.
    W. Grimus, P. Stockinger, Phys. Rev. D 54, 3414 (1996)CrossRefADSGoogle Scholar
  25. 25.
    KamLAND Collaboration, F. Boehm et al., Phys. Rev. D 64, 112001 (2001)CrossRefADSGoogle Scholar
  26. 26.
    K. Egushi et al., Phys. Rev. Lett. 90, 021802 (2003)CrossRefADSGoogle Scholar
  27. 27.
    Superkamiokande Collaboration, S. Fukuda et al., Phys. Lett. B 537, 179 (2002)CrossRefGoogle Scholar
  28. 28.
    Superkamiokande Collaboration, S. Fukuda et al., Phys. Rev. Lett. 86, 5651 (2001)CrossRefADSGoogle Scholar
  29. 29.
    Superkamiokande Collaboration, S. Fukuda et al., Phys. Rev. Lett. 85, 3999 (2000)CrossRefADSGoogle Scholar
  30. 30.
    SNO Collaboration, Q.R. Ahmad et al., Phys. Rev. Lett 89, 011302 (2002)CrossRefADSGoogle Scholar
  31. 31.
    SNO Collaboration, Q.R. Ahmad et al., Phys. Rev. Lett 89, 011301 (2002)CrossRefADSGoogle Scholar
  32. 32.
    SNO Collaboration, Q.R. Ahmad et al., Phys. Rev. Lett 87, 071301 (2001)CrossRefADSGoogle Scholar
  33. 33.
    J.N. Bahcall, M.H. Pinsonneault, S. Basu, Astrophys. J. 555, 990 (2001)CrossRefADSGoogle Scholar
  34. 34.
    S. Fukuda et al., Phys. Rev. Lett. 81, 1562 (2000)CrossRefADSGoogle Scholar
  35. 35.
    M. Ambrosio et al., Phys. Lett. B 434, 451 (1998)CrossRefADSGoogle Scholar
  36. 36.
    A.V. Derbin, O.Y. Smirnov, O.A. Zaimidoroga, Phys. Atom. Nucl. 67, 2066 (2004)CrossRefGoogle Scholar
  37. 37.
    C. Athanassopoulos et al., Phys. Rev. Lett 81, 1774 (1998)CrossRefADSGoogle Scholar
  38. 38.
    A. Aguilar et al., Phys. Rev. D 64, 112007 (2001)CrossRefADSGoogle Scholar
  39. 39.
    B. Armbruster et al., Phys. Rev. D 65, 112007 (2002)CrossRefADSGoogle Scholar
  40. 40.
    C.W. Kim, A. Pevsner, Neutrinos in Physics and Astrophysics (Harwood Academic Publishers, Chur, 1993)Google Scholar
  41. 41.
    L. Wolfenstein, Phys. Rev. D 17, 2369 (1978)CrossRefADSGoogle Scholar
  42. 42.
    L. Wolfenstein, Phys. Rev. D 20, 2634 (1979)CrossRefADSGoogle Scholar
  43. 43.
    S.P. Mikheyev, A.Y. Smirnov, Sov. J. Nucl. Phys. 42, 913 (1986)Google Scholar
  44. 44.
    S.P. Mikheyev, A.Y. Smirnov, Nuovo Cim. C 9, 17 (1986)CrossRefADSGoogle Scholar
  45. 45.
    A.E. Bernardini, S. De Leo, Eur. Phys. J. C 37, 471 (2004)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  1. 1.Instituto de Física Gleb WataghinUNICAMPCampinasBrasil

Personalised recommendations