Skip to main content
SpringerLink
Log in

Neutrino oscillations in gravitational and cosmological backgrounds

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

We use the eikonal approximation in order to calculate the additional phase shift between two neutrino mass eigenstates during their propagation in a background of gravitational wave or scalar perturbations in the flat and the FRW spacetime metric. We comment on the dependence of the results on the characteristics of the perturbations, give some order-of-magnitude estimates, and find that, although small, the resulting phase difference persists for large redshifts, up to the validity of our approximations.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

References

  1. Bilenky, S., Pontecorvo, B.: Phys. Rep. 41, 225 (1978)

    Article  ADS  Google Scholar 

  2. Wolfenstein, L.: Phys. Rev. D 17, 2369 (1978)

    Article  ADS  Google Scholar 

  3. Kayser, B.: Phys. Rev. D 24, 110 (1981)

    Article  ADS  Google Scholar 

  4. Giunti, C., Kim, C.W., Lee, U.W.: Phys. Rev. D 44, 3635 (1991)

    Article  ADS  Google Scholar 

  5. Giunti, C.: J. Phys. G 34, 93 (2007)

    Article  ADS  Google Scholar 

  6. Stodolsky, L.: Gen. Relativ. Gravit. 11, 391 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  7. Ahluwalia, D.V., Burgard, C.: Gen. Relativ. Gravit. 28, 1161 (1996)

    Article  ADS  Google Scholar 

  8. Godunov, S.I., Pastukhov, G.S.: Phys. At. Nucl. 74, 302 (2011)

    Article  Google Scholar 

  9. Bhattacharya, T., Habib, S., Mottola, E.: Phys. Rev. D 59, 067301 (1999)

    Article  ADS  Google Scholar 

  10. Cardall, C.Y., Fuller, G.M.: Phys. Rev. D 55, 7960 (1997)

    Article  ADS  Google Scholar 

  11. Crocker, R.M., Giunti, C., Mortlock, D.J.: Phys. Rev. D 69, 063008 (2004)

    Article  ADS  Google Scholar 

  12. Alexandre, J., Clough, K.: Phys. Rev. D 98, 043004 (2018)

    Article  ADS  Google Scholar 

  13. Swami, H., Lochan, K., Patel, K.M.: arXiv:2002.00977 [hep-ph]

  14. Aartsen, M.G., et al.: (IceCube Collaboration). Phys. Rev. Lett. 113, 101101 (2014)

  15. Adrian-Martinez, S., et al.: (ANTARES and IceCube and LIGO Scientific and Virgo Collaborations). Phys. Rev D93, 122010 (2016)

    ADS  Google Scholar 

  16. Akhmedov, EKh, Rubakov, V.A., Smirnov, AYu.: Phy. Rev. Lett. 81, 1359 (1998)

    Article  ADS  Google Scholar 

  17. Branco, G.C., Gonzalez Felipe, R., Joaquim, F.R.: Rev. Mod. Phys. 84, 515 (2012)

    Article  ADS  Google Scholar 

  18. Blanchet, S., Di Bari, P.: New. J. Phys. 14, 125012 (2012)

    Article  ADS  Google Scholar 

  19. Dvornikov, M.: Phys. Rev. D 100, 096014 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  20. Visinelli, L.: Gen. Relativ. Gravit. 47, 62 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  21. Lawson, H., Michelsohn, M.: Spin Geometry. Princeton University Press, Princeton (1990)

    MATH  Google Scholar 

  22. DeWitt, B.S.: Rev. Mod. Phys. 29, 377 (1957)

    Article  ADS  MathSciNet  Google Scholar 

  23. Cheng, K.S.: J. Math. Phys. 13, 1723 (1972)

    Article  ADS  Google Scholar 

  24. Poplawski, N.J.: J. Math. Phys. 47, 072501 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  25. Dvornikov, M.: Phys. Rev. D 99, 116021 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  26. Meszaros, P., Fox, D.B., Murase, K.: Nat. Rev. Phys. 1, 585 (2019)

    Article  Google Scholar 

  27. Arguelles, C.A., Bustamante, M., Kheirandish, A., Palomares-Ruiz, S., Salvado, J., Vincent, A.C.: PoS ICRC 2019, 849 (2020). arXiv:1907.08690 [astro-ph.HE]

  28. Aker, M., et al.: (KATRIN Collaboration). Phys. Rev. Lett. 123, 221802 (2019)

  29. Ishihara, A.: (IceCube Collaboration). J. Phys. Conf. Ser. 718, 062027 (2016)

  30. Tamborra, I.: J. Phys. Conf. Ser. 718, 052041 (2016)

    Article  Google Scholar 

  31. Ageron, M.: (ANTARES Collaboration). Nucl. Instrum. Meth. A 656, 11 (2011)

  32. Karle, A.: J. Phys. Conf. Ser. 39, 379 (2006)

    Article  ADS  Google Scholar 

  33. Giunti, C., Kim, C.W.: Phys. Rev. D 58, 017301 (1998)

    Article  ADS  Google Scholar 

  34. Beuthe, M.: Phys. Rev. D 66, 013003 (2002)

    Article  ADS  Google Scholar 

  35. Silk, J., Stodolsky, L.: Phys. Lett. B 639, 14 (2006)

    Article  ADS  Google Scholar 

  36. Buoninfante, L., Gaetano, G., Petruzziello, L., Smaldone, L.: Phys. Rev. D 101, 024016 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  37. Abel, S., Buoninfante, L., Mazumdar, A.: JHEP 01, 003 (2020)

    Article  ADS  Google Scholar 

  38. Swami, H., Lochan, K., Patel, K.M.: Phys. Rev. D 102, 024043 (2020)

    Article  ADS  Google Scholar 

  39. Dvornikov, M.: Eur. Phys. J. C 80, 474 (2020)

    Article  ADS  Google Scholar 

  40. Koutsoumbas, G., Mitsoulas, I., Papantonopoulos, E.: Class. Quant. Grav. 35, 235016 (2018)

    Article  ADS  Google Scholar 

  41. Blazone, M., Jizba, P., Lambiase, G., Petruzziello, L.: e-Print: arXiv:2001.09974 [hep-ph]

Download references

Author information

Authors and Affiliations

  1. Department of Physics, National Technical University of Athens, Zografou Campus, 15773, Athens, Greece

    George Koutsoumbas & Dimitrios Metaxas

Authors
  1. George Koutsoumbas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dimitrios Metaxas
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dimitrios Metaxas.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Koutsoumbas, G., Metaxas, D. Neutrino oscillations in gravitational and cosmological backgrounds. Gen Relativ Gravit 52, 102 (2020). https://doi.org/10.1007/s10714-020-02758-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10714-020-02758-z

Keywords

Search

Navigation