Unitarity triangle test of the extra factor of two in particle oscillation phases

theoretical physics

Abstract.

There are claims in the literature that in neutrino oscillations and oscillations of neutral kaons and B-mesons the oscillation phase differs from the standard one by a factor of two. We reconsider the arguments leading to this extra factor and investigate, in particular, the non-relativistic regime. We actually find that the very same arguments lead to an ambiguous phase and that the extra factor of two is a special case. We demonstrate that the unitarity triangle (UT) fit in the standard model with three families is a suitable means to discriminate between the standard oscillation phase and the phase with an extra factor of two. If KL - KS and BdH - BdL mass differences are extracted from the \(K^0 - \bar K^0\) and \(B_d^0 - \bar B_d^0\) data, respectively, with the extra factor of two in the oscillation phases, then the UT fit becomes significantly worse in comparison with the standard fit and the extra factor of two is disfavored by the existing data at the level of more than \(3 \sigma\).

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Super-Kamiokande Collaboration, Y. Fukuda et al. , Phys. Rev. Lett. 81, 1562 (1998) [hep-ex/9807003]CrossRefGoogle Scholar
  2. 2.
    Super-Kamiokande Collaboration, S. Fukuda et al. , Phys. Lett. B 539, 179 (2002) [hep-ex/0205075]CrossRefGoogle Scholar
  3. 3.
    SNO Collaboration, S.N. Ahmed et al. , Phys. Rev. Lett. 92, 181301 (2004) [nucl-ex/0309004]CrossRefPubMedGoogle Scholar
  4. 4.
    KamLAND Collaboration, T. Araki et al. , hep-ex/0406035Google Scholar
  5. 5.
    K2K Collaboration, M.H. Ahn et al. , Phys. Rev. Lett. 90, 041801 (2003) [hep-ex/0212007]CrossRefPubMedGoogle Scholar
  6. 6.
    M. Maltoni, T. Schwetz, M. Tórtola, J.W.F. Valle, New. J. Phys. 6, 122 (2004), focus issue on neutrino physics edited by F. Halzen, M. Lindner, A. Suzuki [hep-ph/0405172]CrossRefGoogle Scholar
  7. 7.
    LSND Collaboration, A. Aguilar et al. , Phys. Rev. D 64, 112007 (2001) [hep-ex/0104049]CrossRefGoogle Scholar
  8. 8.
    MiniBooNE Collaboration, T. Hart (for the collaboration), AIP Conf. Proc. 698, 270 (2004)CrossRefGoogle Scholar
  9. 9.
    Super-Kamiokande Collaboration, Y. Ashie et al. , Phys. Rev. Lett. 93, 101801 (2004) [hep-ex/0404034]CrossRefPubMedGoogle Scholar
  10. 10.
    S.M. Bilenky, C. Giunti, W. Grimus, Prog. Part. Nucl. Phys. 43, 1 (1999) [hep-ph/9812360]; M.C. Gonzalez-Garcia, Y. Nir, Rev. Mod. Phys. 75, 345 (2003) [hep-ph/0202058]; S. Pakvasa, J.W.F. Valle, Proc. Indian National Acad. Sci. A 70, 189 (2003) [hep-ph/0301061]; W. Grimus, in Lectures on Flavor Physics, edited by U.-G. Meißner, W. Plessas (Springer-Verlag, New York 2004), p. 169 [hep-ph/0307149]; V. Barger, D. Marfatia, K. Whisnant, Int. J. Mod. Phys. E 12, 569 (2003) [hep-ph/0308123]; A.Yu. Smirnov, Int. J. Mod. Phys. A 19, 1180 (2004) [hep-ph/0311259]CrossRefGoogle Scholar
  11. 11.
    V. Gribov, B. Pontecorvo, Phys. Lett. B 28, 493 (1969)CrossRefGoogle Scholar
  12. 12.
    S.M. Bilenky, B. Pontecorvo, Lett. Nuovo Cim. 17, 569 (1976); Phys. Rep. 41, 225 (1978)Google Scholar
  13. 13.
    H. Fritzsch, P. Minkowski, Phys. Lett. B 62, 72 (1976)CrossRefGoogle Scholar
  14. 14.
    S.M. Bilenky, hep-ph/9908335; report at the Nobel Symposium on Neutrino Physics, Haga Slott, Enkoping, Sweden, August 19-24, 2004, hep-ph/0410090Google Scholar
  15. 15.
    B. Kayser, Phys. Rev. D 24, 110 (1981)CrossRefGoogle Scholar
  16. 16.
    I.Yu. Kobzarev, B.V. Martemyanov, L.B. Okun, M.G. Schepkin, Sov. J. Nucl. Phys. 35, 708 (1982); A.D. Dolgov, L.B. Okun, M.V. Rotaev, M.G. Schepkin, hep-ph/0407189Google Scholar
  17. 17.
    K. Kiers, S. Nussinov, N. Weiss, Phys. Rev. D 53, 537 (1996) [hep-ph/9506271]CrossRefGoogle Scholar
  18. 18.
    C. Giunti, C.W. Kim, J.A. Lee, Phys. Rev. D 48, 4310 (1993) [hep-ph/9305276]CrossRefGoogle Scholar
  19. 19.
    J. Rich, Phys. Rev. D 48, 4318 (1993)CrossRefGoogle Scholar
  20. 20.
    W. Grimus, P. Stockinger, Phys. Rev. D 54, 3414 (1996) [hep-ph/9603430]; W. Grimus, P. Stockinger, S. Mohanty, Phys. Rev. D 59, 013011 (1999) [hep-ph/9807442]CrossRefGoogle Scholar
  21. 21.
    L. Stodolsky, Phys. Rev. D 58, 036006 (1998) [hep-ph/9802387]CrossRefGoogle Scholar
  22. 22.
    C.Y. Cardall, Phys. Rev. D 61, 073006 (2000) [hep-ph/9909332]CrossRefGoogle Scholar
  23. 23.
    C. Giunti, C.W. Kim, Found. Phys. Lett. 14, 213 (2001) [hep-ph/0011074]CrossRefGoogle Scholar
  24. 24.
    M. Beuthe, Phys. Rev. D 66, 013003 (2002) [hep-ph/0202068]CrossRefGoogle Scholar
  25. 25.
    H.J. Lipkin, Phys. Lett. B 579, 355 (2004) [hep-ph/0304187]CrossRefGoogle Scholar
  26. 26.
    M. Zrałek, Acta Phys. Pol. B 29, 3925 (1998) [hep-ph/9810543]Google Scholar
  27. 27.
    S.M. Bilenky, C. Giunti, Int. J. Mod. Phys. A 16, 3931 (2001) [hep-ph/0102320]CrossRefGoogle Scholar
  28. 28.
    M. Beuthe, Phys. Repts. 375, 105 (2003) [hep-ph/0109119]CrossRefGoogle Scholar
  29. 29.
    C. Giunti, hep-ph/0409230Google Scholar
  30. 30.
    J.H. Field, Eur. Phys. J. C 30, 305 (2003) [hep-ph/0211199]Google Scholar
  31. 31.
    S. De Leo, G. Ducati, P. Rotelli, Mod. Phys. Lett. A 15, 2057 (2000) [hep-ph/9906460]; S. De Leo, C.C. Nishi, P. Rotelli, Int. J. Mod. Phys. A 19, 677 (2004) [hep-ph/0208086]CrossRefGoogle Scholar
  32. 32.
    L.B. Okun, M.G. Schepkin, I.S. Tsukerman, Nucl. Phys. B 650, 443 (2003) (Err. B 656, 255 (2003)) [hep-ph/0211241]CrossRefGoogle Scholar
  33. 33.
    H.J. Lipkin, Phys. Lett. B 348, 604 (1995) [hep-ph/9501269]CrossRefGoogle Scholar
  34. 34.
    Y.N. Srivastava, A. Widom, E. Sassaroli, Phys. Lett. B 344, 436 (1995)CrossRefGoogle Scholar
  35. 35.
    B. Ancochea, A. Bramon, R. Muñoz-Tapia, M. Nowakowski, Phys. Lett. B 389, 149 (1996) [hep-ph/9605454]CrossRefGoogle Scholar
  36. 36.
    J. Charles et al. , hep-ph/0406184Google Scholar
  37. 37.
    BaBar Collaboration, B. Aubert et al. , Phys. Lett. 89, 201802 (2002)CrossRefGoogle Scholar
  38. 38.
    Belle Collaboration, K. Abe et al. , hep-ex/0408111Google Scholar
  39. 39.
    A.J. Buras, in Proceedings of the International School of Subnuclear Physics, Erice, August 27-September 5, 2000, edited by A. Zichichi (World Scientific, Singapore 2001), p. 200 [hep-ph/0101336]Google Scholar
  40. 40.
    A.J. Buras, in Lectures on Flavor Physics, edited by U.-G. Meißner, W. Plessas (Springer-Verlag, New York 2004), p. 169 [hep-ph/0307203]Google Scholar
  41. 41.
    J.P. Silva, hep-ph/0410351Google Scholar
  42. 42.
    M. Ciuchini et al. , JHEP 0107, 013 (2001) [hep-ph/0012308]Google Scholar
  43. 43.
    M. Bona et al. , hep-ph/0501199Google Scholar
  44. 44.
    J.H. Christenson, J.H. Goldman, E. Hummel, S.D. Roth, T.W.L. Sanford, J. Sculli, Phys. Rev. Lett. 43, 1209 (1979)CrossRefGoogle Scholar
  45. 45.
    CPLEAR Collaboration, A. Angelopoulos et al. , Phys. Lett. B 444, 38 (1998)CrossRefGoogle Scholar
  46. 46.
    A. Alavi-Harati et al. , KTeV Collaboration, Phys. Rev. D 67, 012005 (2003) (Err. D 70, 079904 (2004)) [hep-ex/0208007]CrossRefGoogle Scholar
  47. 47.
    A.Yu. Smirnov, hep-ph/0306075Google Scholar
  48. 48.
    Particle Data Group, S. Eidelman et al. , Phys. Lett. B 592, 1 (2004)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.Scuola Internazionale Superiore di Studi AvanzatiTriesteItaly
  2. 2.Joint Institute for Nuclear ResearchDubnaRussia
  3. 3.Institut für Theoretische PhysikUniversität WienWienAustria

Personalised recommendations