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Study of neutrino decay in a magnetic field within the “worldline instanton” approach

  • Fields, Particles, and Nuclei
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Abstract

We study the process of neutrino decay to electron and W-boson in the external magnetic field using the semiclassical “worldline instanton” approach. Being interested only in the leading exponential factor, we make calculations in a toy model, treating all particles as scalars. This calculation determines the effective threshold energy of the reaction as a function of the magnetic field. Possible astrophysical applications are discussed. It is emphasized that the method is general and is applicable to a decay of an arbitrary neutral particle into charged ones in the external electromagnetic field.

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References

  1. M. Risse and P. Homola, Mod. Phys. Lett. A 22, 749 (2007); astro-ph/0702632.

    Article  ADS  Google Scholar 

  2. M. G. Aartsen et al. (IceCube Collab.), Phys. Rev. Lett. 111, 021103 (2013); arXiv:1304.5356 [astro-ph.HE].

    Article  ADS  Google Scholar 

  3. A. Erdas and G. Feldman, Nucl. Phys. B 343, 597 (1990).

    Article  ADS  Google Scholar 

  4. A. V. Borisov, V. C. Zhukovsky, A. V. Kurilin, and A. I. Ternov, Sov. J. Nucl. Phys. 41, 473 (1985).

    Google Scholar 

  5. A. Erdas and M. Lissia, Phys. Rev. D 67, 033001 (2003); hep-ph/0208111.

    Article  ADS  Google Scholar 

  6. K. Bhattacharya and S. Sahu, Eur. Phys. J. C 62, 481 (2009); arXiv:0811.1692 [hep-ph].

    Article  ADS  Google Scholar 

  7. A. V. Kuznetsov, N. V. Mikheev, and A. V. Serghienko, Phys. Lett. B 690, 386 (2010); arXiv:1002.3804 [hepph].

    Article  ADS  Google Scholar 

  8. A. V. Borisov, V. C. Zhukovsky, and A. I. Ternov, Phys. Lett. B 318, 489 (1993).

    Article  ADS  Google Scholar 

  9. A. V. Kuznetsov and N. V. Mikheev, Phys. Lett. B 394, 123 (1997); hep-ph/9612312.

    Article  ADS  Google Scholar 

  10. A. V. Kuznetsov, N. V. Mikheev, and D. A. Rumyantsev, Mod. Phys. Lett. A 15, 573 (2000); hep-ph/0003216.

    Article  ADS  Google Scholar 

  11. A. Kuznetsov and N. Mikheev, Springer Tracts Mod. Phys. 252 (2013).

  12. R. P. Feynman, Phys. Rev. 80, 440 (1950).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. J. Schwinger, Phys. Rev. 82, 664 (1951).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. I. K. Affleck, O. Alvarez, and N. S. Manton, Nucl. Phys. B 197, 509 (1982).

    Article  ADS  Google Scholar 

  15. G. V. Dunne and C. Schubert, Phys. Rev. D 72, 105004 (2005); hep-th/0507174.

    Article  MathSciNet  ADS  Google Scholar 

  16. A. Monin and M. B. Voloshin, Phys. Rev. D 81, 085014 (2010); arXiv:1001.3354 [hep-th].

    Article  ADS  Google Scholar 

  17. P. Satunin, Phys. Rev. D 87, 105015 (2013); arXiv:1301.5707 [hep-th].

    Article  ADS  Google Scholar 

  18. C. Schubert, Phys. Rep. 355, 73 (2001); hep-th/0101036.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. C. G. Callan, Jr. and S. R. Coleman, Phys. Rev. D 16, 1762 (1977).

    Article  ADS  Google Scholar 

  20. A. V. Kuznetsov, N. V. Mikheev, and A. V. Serghienko, arXiv:1010.0582 [hep-ph].

  21. N. V. Mikheev and L. A. Vassilevskaya, Phys. At. Nucl. 61, 1041 (1998); hep-ph/9708293.

    Google Scholar 

  22. M. Ahlers, H. Gies, J. Jaeckel, J. Redondo, and A. Ringwald, Phys. Rev. D 76, 115005 (2007); arXiv:0706.2836 [hep-ph].

    Article  ADS  Google Scholar 

  23. S. Davidson, S. Hannestad, and G. Raffelt, J. High Energy Phys. 0005, 003 (2000); hep-ph/0001179.

    Article  ADS  Google Scholar 

  24. G. Rubtsov, P. Satunin, and S. Sibiryakov, Phys. Rev. D 89, 123011 (2014); arXiv:1312.4368 [astro-ph.HE].

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute for Nuclear Research, Russian Academy of Sciences, Moscow, 117312, Russia

    P. Satunin

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  1. P. Satunin
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Satunin, P. Study of neutrino decay in a magnetic field within the “worldline instanton” approach. Jetp Lett. 101, 657–663 (2015). https://doi.org/10.1134/S0021364015100112

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  • DOI: https://doi.org/10.1134/S0021364015100112

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