Extended Grimus–Stockinger theorem and inverse-square law violation in quantum field theory

Regular Article - Theoretical Physics

Abstract

We study corrections to the Grimus–Stockinger theorem dealing with the large-distance asymptotic behavior of the external wave-packet modified neutrino propagator within the framework of a field-theoretical description of the neutrino-oscillation phenomenon. The possibility is discussed that these corrections, responsible for breakdown of the classical inverse-square law (ISL), can lead to measurable effects at small but macroscopic distances accessible in the SBL (anti)neutrino experiments and in particular can provide an explanation of the well-known reactor antineutrino anomaly.

Keywords

Sterile Neutrino Neutrino Energy Detector Vertex GALLEX Momentum Spread 

Notes

Acknowledgements

This work was supported by the Federal Target Program “Scientific and Scientific-Pedagogical Personnel of the Innovative Russia” under Contract No. 14.U02.21.0913 The authors would like to thank Z.G. Berezhiani, S.E. Korenblit, and especially D.V. Naumov (who was the active partner in the early stages of this research) for very useful suggestions, comments and criticisms.

References

  1. 1.
    C. Giunti, C.W. Kim, Fundamentals of Neutrino Physics and Astrophysics (Oxford University Press, London, 2007) CrossRefGoogle Scholar
  2. 2.
    C. Giunti, C.W. Kim, J.A. Lee, U.W. Lee, Phys. Rev. D 48, 4310 (1993). arXiv:hep-ph/9305276 [hep-ph] ADSCrossRefGoogle Scholar
  3. 3.
    W. Grimus, P. Stockinger, Phys. Rev. D 54, 3414 (1996). arXiv:hep-ph/9603430 ADSCrossRefGoogle Scholar
  4. 4.
    S. Mohanty, arXiv:hep-ph/9706328 (1997)
  5. 5.
    C. Giunti, C.W. Kim, U.W. Lee, Phys. Lett. B 421, 237 (1998). arXiv:hep-ph/9709494 ADSCrossRefGoogle Scholar
  6. 6.
    J.E. Campagne, Phys. Lett. B 400, 135 (1997) ADSCrossRefGoogle Scholar
  7. 7.
    K. Kiers, N. Weiss, Phys. Rev. D 57, 3091 (1998). arXiv:hep-ph/9710289 ADSCrossRefGoogle Scholar
  8. 8.
    M. Zrałek, Acta Phys. Pol. B 29, 3925 (1998). arXiv:hep-ph/9810543 Google Scholar
  9. 9.
    A. Ioannisian, A. Pilaftsis, Phys. Rev. D 59, 053003 (1999). arXiv:hep-ph/9809503 ADSCrossRefGoogle Scholar
  10. 10.
    W. Grimus, P. Stockinger, S. Mohanty, Phys. Rev. D 59, 013011 (1999). arXiv:hep-ph/9807442 ADSCrossRefGoogle Scholar
  11. 11.
    W. Grimus, S. Mohanty, P. Stockinger, arXiv:hep-ph/9909341 (1999)
  12. 12.
    W. Grimus, S. Mohanty, P. Stockinger, Phys. Rev. D 61, 033001 (2000). arXiv:hep-ph/9904285 ADSCrossRefGoogle Scholar
  13. 13.
    C.Y. Cardall, D.J.H. Chung, Phys. Rev. D 60, 073012 (1999). arXiv:hep-ph/9904291 ADSCrossRefGoogle Scholar
  14. 14.
    C.Y. Cardall, Phys. Rev. D 61, 073006 (2000). arXiv:hep-ph/9909332 ADSCrossRefGoogle Scholar
  15. 15.
    M. Beuthe, arXiv:hep-ph/0010054 (2000)
  16. 16.
    M. Beuthe, Phys. Rep. 375, 105 (2003). arXiv:hep-ph/0109119 MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    M. Beuthe, Phys. Rev. D 66, 013003 (2002). arXiv:hep-ph/0202068 ADSCrossRefGoogle Scholar
  18. 18.
    C. Giunti, J. High Energy Phys. 11, 017 (2002). arXiv:hep-ph/0205014 ADSCrossRefGoogle Scholar
  19. 19.
    M. Garbutt, B.H.J. McKellar, arXiv:hep-ph/0308111 (2003)
  20. 20.
    A. Asahara, K. Ishikawa, T. Shimomura, T. Yabuki, Prog. Theor. Phys. 113, 385 (2005). arXiv:hep-ph/0406141 ADSCrossRefGoogle Scholar
  21. 21.
    A.D. Dolgov, O.V. Lychkovskiy, A.A. Mamonov, L.B. Okun, M.V. Rotaev, M.G. Schepkin, Nucl. Phys. B 729, 79 (2005). arXiv:hep-ph/0505251 ADSCrossRefGoogle Scholar
  22. 22.
    C.C. Nishi, Phys. Rev. D 73, 053013 (2006). arXiv:hep-ph/0506109 ADSCrossRefGoogle Scholar
  23. 23.
    E. Akhmedov, J. Kopp, M. Lindner, J. High Energy Phys. 05, 005 (2008). arXiv:0802.2513 [hep-ph] ADSCrossRefGoogle Scholar
  24. 24.
    V.A. Naumov, D.V. Naumov, Russ. Phys. J. 53, 549 (2010) CrossRefMATHGoogle Scholar
  25. 25.
    J. Kopp, J. High Energy Phys. 06, 049 (2009). arXiv:0904.4346 [hep-ph] ADSCrossRefGoogle Scholar
  26. 26.
    E. Akhmedov, A. Smirnov, Yad. Fiz. 72, 1417 (2009). arXiv:0905.1903 [hep-ph] Google Scholar
  27. 27.
    B.D. Keister, W.N. Polyzou, Phys. Scr. 81, 055102 (2010). arXiv:0908.1404 [hep-ph] ADSCrossRefGoogle Scholar
  28. 28.
    A.E. Bernardini, M.M. Guzzo, C.C. Nishi, Fortschr. Phys. 59, 372 (2011). arXiv:1004.0734 [hep-ph] MathSciNetCrossRefMATHGoogle Scholar
  29. 29.
    C. Anastopoulos, N. Savvidou, arXiv:1005.4307 [quant-ph] (2010)
  30. 30.
    D.V. Naumov, V.A. Naumov, J. Phys. G 37, 105014 (2010). arXiv:1008.0306v2 [hep-ph] ADSCrossRefGoogle Scholar
  31. 31.
    E. Akhmedov, A. Smirnov, Found. Phys. 41, 1279 (2011). arXiv:1008.2077 [hep-ph] ADSCrossRefMATHGoogle Scholar
  32. 32.
    E. Akhmedov, J. Kopp, J. High Energy Phys. 04, 008 (2010). arXiv:1001.4815 [hep-ph] ADSCrossRefGoogle Scholar
  33. 33.
    T.R. Morris, J. Phys. G 39, 045010 (2012). arXiv:1110.3266 [hep-ph] ADSCrossRefGoogle Scholar
  34. 34.
    E. Akhmedov, D. Hernandez, A. Smirnov, J. High Energy Phys. 04, 052 (2012). arXiv:1201.4128 [hep-ph] ADSCrossRefGoogle Scholar
  35. 35.
    E. Akhmedov, A. Wilhelm, J. High Energy Phys. 01, 165 (2013). arXiv:1205.6231 [hep-ph] MathSciNetADSCrossRefGoogle Scholar
  36. 36.
    S.E. Korenblit, D.V. Taychenachev, arXiv:1304.5192 [hep-th] (2013)
  37. 37.
    C. Giunti, M. Laveder, Phys. Rev. C 83, 065504 (2011). arXiv:1006.3244 [hep-ph] ADSCrossRefGoogle Scholar
  38. 38.
    G. Mention, M. Fechner, Th. Lasserre, Th.A. Mueller, D. Lhuillier et al., Phys. Rev. D 83, 073006 (2011). arXiv:1101.2755 [hep-ex] ADSCrossRefGoogle Scholar
  39. 39.
    Th.A. Mueller, D. Lhuillier, M. Fallot, A. Letourneau, S. Cormon et al., Phys. Rev. C 83, 054615 (2011). arXiv:1101.2663 [hep-ex] ADSCrossRefGoogle Scholar
  40. 40.
    P. Huber, Phys. Rev. C 84, 024617 (2011). arXiv:1106.0687 [hep-ph] ADSCrossRefGoogle Scholar
  41. 41.
    M.V. Fedoryuk, Metod Perevala (Nauka, Moscow, 1977) MATHGoogle Scholar
  42. 42.
    P. Anselmann et al. (GALLEX Collaboration), Phys. Lett. B 342, 440 (1995) ADSCrossRefGoogle Scholar
  43. 43.
    W. Hampel et al. (GALLEX Collaboration), Phys. Lett. B 420, 114 (1998) ADSCrossRefGoogle Scholar
  44. 44.
    F. Kaether, W. Hampel, G. Heusser, J. Kiko, T. Kirsten, Phys. Lett. B 685, 47 (2010). arXiv:1001.2731 [hep-ex] ADSCrossRefGoogle Scholar
  45. 45.
    J.N. Abdurashitov, V.N. Gavrin, S.V. Girin, V.V. Gorbachev, T.V. Ibragimova et al., Phys. Rev. Lett. 77, 4708 (1996) ADSCrossRefGoogle Scholar
  46. 46.
    J.N. Abdurashitov et al. (SAGE Collaboration), Phys. Rev. C 59, 2246 (1999). arXiv:hep-ph/9803418 ADSCrossRefGoogle Scholar
  47. 47.
    J.N. Abdurashitov, V.N. Gavrin, S.V. Girin, V.V. Gorbachev, P.P. Gurkina et al., Phys. Rev. C 73, 045805 (2006). arXiv:nucl-ex/0512041 ADSCrossRefGoogle Scholar
  48. 48.
    Th. Lasserre, J. Phys. Conf. Ser. 375, 042042 (2012) ADSCrossRefGoogle Scholar
  49. 49.
    Th. Lasserre, in PoS (EPS-HEP2011) (2011), p. 100 Google Scholar
  50. 50.
    G. Mention, J. Phys. Conf. Ser. 408, 012025 (2013) ADSCrossRefGoogle Scholar
  51. 51.
    C. Zhang, X. Qian, P. Vogel, Phys. Rev. D 87, 073018 (2013). arXiv:1303.0900 [nucl-ex] ADSCrossRefGoogle Scholar
  52. 52.
    J.M. Conrad, C.M. Ignarra, G. Karagiorgi, M.H. Shaevitz, J. Spitz, Adv. High Energy Phys. 2013, 163897 (2013). arXiv:1207.4765 [hep-ex] Google Scholar
  53. 53.
    C. Giunti, M. Laveder, Y.F. Li, Q.Y. Liu, H.W. Long, Phys. Rev. D 86, 113014 (2012). arXiv:1210.5715 [hep-ph] ADSCrossRefGoogle Scholar
  54. 54.
    S.K. Kang, Y.D. Kim, Y. Ko, K. Siyeon, arXiv:1303.6173 [hep-ph] (2013)
  55. 55.
    J. Kopp, P.A.N. Machado, M. Maltoni, T. Schwetz, J. High Energy Phys. 05, 050 (2013). arXiv:1303.3011v2 [hep-ph] ADSCrossRefGoogle Scholar
  56. 56.
    C. Giunti, Acta Phys. Pol. B, Proc. Suppl. 6, 667 (2013) CrossRefGoogle Scholar
  57. 57.
    K.N. Abazajian, M.A. Acero, S.K. Agarwalla, A.A. Aguilar-Arevalo, C.H. Albright et al., arXiv:1204.5379 [hep-ph] (2012)
  58. 58.
    J. Hamann, S. Hannestad, G.G. Raffelt, Y.Y.Y. Wong, J. Cosmol. Astropart. Phys. 09, 034 (2011). arXiv:1108.4136 [astro-ph.CO] ADSCrossRefGoogle Scholar
  59. 59.
    A. Mirizzi, G. Mangano, N. Saviano, E. Borriello, C. Giunti et al., arXiv:1303.5368 [astro-ph.CO] (2013)
  60. 60.
    F.P. An et al. (Daya Bay Collaboration), Phys. Rev. Lett. 108, 171803 (2012). arXiv:1203.1669 [hep-ex] ADSCrossRefGoogle Scholar
  61. 61.
    F.P. An et al. (Daya Bay Collaboration), Chin. Phys. C 37, 011001 (2013). arXiv:1210.6327 [hep-ex] CrossRefGoogle Scholar
  62. 62.
    J.K. Ahn et al. (RENO Collaboration), Phys. Rev. Lett. 108, 191802 (2012). arXiv:1204.0626 [hep-ex] ADSCrossRefGoogle Scholar
  63. 63.
    A. Palazzo, arXiv:1308.5880 [hep-ph] (2013)
  64. 64.
    C. Giunti, M. Laveder, Y.F. Li, H.W. Long, arXiv:1308.5288 [hep-ph] (2013)
  65. 65.
    A. Esmaili, E. Kemp, O.L.G. Peres, Z. Tabrizi, arXiv:1308.6218 [hep-ph] (2013)
  66. 66.
    H. Furuta, Y. Fukuda, T. Hara, T. Haruna, N. Ishihara et al., Nucl. Instrum. Methods Phys. Res., Sect. A, Accel. Spectrom. Detect. Assoc. Equip. 662, 90 (2012). arXiv:1108.2910 [hep-ex] ADSCrossRefGoogle Scholar
  67. 67.
    D.A. Dwyer, K.M. Heeger, B.R. Littlejohn, P. Vogel, arXiv:1109.6036 [hep-ex] (2011)
  68. 68.
    J. Spitz, Phys. Rev. D 85, 093020 (2012). arXiv:1203.6050 [hep-ph] ADSCrossRefGoogle Scholar
  69. 69.
    A.S. Cucoanes (Nucifer Collaboration), J. Phys. Conf. Ser. 375, 042063 (2012) ADSCrossRefMATHGoogle Scholar
  70. 70.
    A.V. Derbin, A.S. Kayunov, V.N. Muratova, arXiv:1204.2449 [hep-ph] (2012)
  71. 71.
    A.P. Serebrov, V.G. Zinoviev, A.K. Fomin, U.E. Loginov, M.S. Onegin et al., arXiv:1205.2955 [hep-ph] (2012)
  72. 72.
    V. Belov, V. Brudanin, M. Danilov, V. Egorov, M. Fomina et al., J. Instrum. 08, P05018 (2013). arXiv:1304.3696 [physics.ins-det] CrossRefGoogle Scholar
  73. 73.
    M. Elnimr, I. Stancu, M. Yeh, R. Svoboda, M.J. Wetstein, F.G. Garcia, B. Osmanov, H. Ray, R. Tayloe, J. Boissevain et al., arXiv:1307.7097 [physics.ins-det] (2013)
  74. 74.
    O. Yasuda, J. High Energy Phys. 09, 036 (2011). arXiv:1107.4766 [hep-ph] ADSCrossRefGoogle Scholar
  75. 75.
    J. Gaffiot, Nucl. Phys. B, Proc. Suppl. 237–238, 326 (2013) CrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussia

Personalised recommendations