Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Helicity oscillations of Dirac and Majorana neutrinos

Alexandra Dobrynina1,2, Alexander Kartavtsev2, and Georg Raffelt2

  • 1P. G. Demidov Yaroslavl State University, Sovietskaya 14, 150003 Yaroslavl, Russia
  • 2Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany

Phys. Rev. D 93, 125030 – Published 23 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.125030

Abstract

The helicity of a Dirac neutrino with mass m evolves under the influence of a B field because it has a magnetic dipole moment proportional to m. Moreover, it was recently shown that a polarized or anisotropic medium engenders the same effect for both Dirac and Majorana neutrinos. Because a B field polarizes a background medium, it instigates helicity oscillations even for Majorana neutrinos unless the medium is symmetric between matter and antimatter. Motivated by these observations, we review the impact of a B field and of an anisotropic or polarized medium on helicity oscillations for Dirac and Majorana neutrinos from the common perspective of in-medium dispersion.

Physics Subject Headings (PhySH)

Article Text

References (43)

  1. K. Fujikawa and R. Shrock, The Magnetic Moment of a Massive Neutrino and Neutrino Spin Rotation, Phys. Rev. Lett. 45, 963 (1980).
  2. P. B. Pal and L. Wolfenstein, Radiative decays of massive neutrinos, Phys. Rev. D 25, 766 (1982).
  3. R. E. Shrock, Electromagnetic properties and decays of Dirac and Majorana neutrinos in a general class of gauge theories, Nucl. Phys. B206, 359 (1982).
  4. J. F. Nieves, Electromagnetic properties of Majorana neutrinos, Phys. Rev. D 26, 3152 (1982).
  5. J. Schechter and J. W. F. Valle, Majorana neutrinos and magnetic fields, Phys. Rev. D 24, 1883 (1981); 25, 283 (1982).
  6. A. A. Dobrynina and N. V. Mikheev, Self-energy operator of a massive neutrino in an external magnetic field, Zh. Eksp. Teor. Fiz. 145, 65 (2014) [J. Exp. Theor. Phys. 118, 54 (2014)].
  7. C. Giunti and A. Studenikin, Neutrino electromagnetic interactions: a window to new physics, Rev. Mod. Phys. 87, 531 (2015).
  8. C. W. Werntz (unpublished), quoted after Ref. [9].
  9. A. Cisneros, Effect of neutrino magnetic moment on solar neutrino observations, Astrophys. Space Sci. 10, 87 (1971).
  10. C.-S. Lim and W. J. Marciano, Resonant spin-flavor precession of solar and supernova neutrinos, Phys. Rev. D 37, 1368 (1988).
  11. E. K. Akhmedov, Resonance enhancement of the neutrino spin precession in matter and the solar neutrino problem, Yad. Fiz. 48, 599 (1988) [Sov. J. Nucl. Phys. 48, 382 (1988)].
  12. A. Vlasenko, G. M. Fuller, and V. Cirigliano, Neutrino quantum kinetics, Phys. Rev. D 89, 105004 (2014).
  13. V. Cirigliano, G. M. Fuller, and A. Vlasenko, A new spin on neutrino quantum kinetics, Phys. Lett. B 747, 27 (2015).
  14. A. Vlasenko, G. M. Fuller, and V. Cirigliano, Prospects for neutrino-antineutrino transformation in astrophysical environments, arXiv:1406.6724.
  15. C. Volpe, D. Väänänen, and C. Espinoza, Extended evolution equations for neutrino propagation in astrophysical and cosmological environments, Phys. Rev. D 87, 113010 (2013).
  16. D. Väänänen and C. Volpe, Linearizing neutrino evolution equations including neutrino-antineutrino pairing correlations, Phys. Rev. D 88, 065003 (2013).
  17. J. Serreau and C. Volpe, Neutrino-antineutrino correlations in dense anisotropic media, Phys. Rev. D 90, 125040 (2014).
  18. A. Kartavtsev, G. Raffelt, and H. Vogel, Neutrino propagation in media: flavor, helicity, and pair correlations, Phys. Rev. D 91, 125020 (2015).
  19. V. B. Semikoz, Induced magnetic moment of the neutrino in a dispersive medium, Yad. Fiz. 46, 1592 (1987) [Sov. J. Nucl. Phys. 46, 946 (1987)].
  20. V. B. Semikoz and Y. A. Smorodinsky, Multipole electromagnetic moments of a neutrino in a dispersive medium, Zh. Eksp. Teor. Fiz. 95, 35 (1989) [Sov. Phys. JETP 68, 20 (1989)].
  21. J. F. Nieves, Neutrinos in a medium, Phys. Rev. D 40, 866 (1989).
  22. J. F. Nieves and P. B. Pal, Electromagnetic properties of neutrinos in a medium, Phys. Rev. D 40, 1693 (1989).
  23. J. C. D’Olivo, J. F. Nieves, and P. B. Pal, Electromagnetic properties of neutrinos in a background of electrons, Phys. Rev. D 40, 3679 (1989).
  24. V. B. Semikoz and J. W. F. Valle, Nucleosynthesis constraints on active sterile-neutrino conversions in the early Universe with random magnetic field, Nucl. Phys. B425, 651 (1994); 485, 545 (1997).
  25. P. Elmfors, D. Grasso, and G. Raffelt, Neutrino dispersion in magnetized media and spin oscillations in the early Universe, Nucl. Phys. B479, 3 (1996).
  26. H. Nunokawa, V. B. Semikoz, A. Yu. Smirnov, and J. W. F. Valle, Neutrino conversions in a polarized medium, Nucl. Phys. B501, 17 (1997).
  27. A. Erdas, C. W. Kim, and T. H. Lee, Neutrino self-energy and dispersion in a medium with magnetic field, Phys. Rev. D 58, 085016 (1998).
  28. A. M. Egorov, A. E. Lobanov, and A. I. Studenikin, Neutrino oscillations in electromagnetic fields, Phys. Lett. B 491, 137 (2000).
  29. A. Grigoriev, A. Lobanov, and A. Studenikin, Effect of matter motion and polarization in neutrino flavor oscillations, Phys. Lett. B 535, 187 (2002).
  30. A. I. Studenikin, Neutrinos in electromagnetic fields and moving media, Yad. Fiz. 67, 1014 (2004) [Phys. At. Nucl. 67, 993 (2004)].
  31. A. V. Kuznetsov, N. V. Mikheev, G. G. Raffelt, and L. A. Vassilevskaya, Neutrino dispersion in external magnetic fields, Phys. Rev. D 73, 023001 (2006); 73, 029903 (2006).
  32. H. A. Weldon, Covariant calculations at finite temperature: The relativistic plasma, Phys. Rev. D 26, 1394 (1982).
  33. D. Nötzold and G. Raffelt, Neutrino dispersion at finite temperature and density, Nucl. Phys. B307, 924 (1988).
  34. L. B. Okun, On the electric dipole moment of neutrino, Yad. Fiz. 44, 847 (1986) [Sov. J. Nucl. Phys. 44, 546 (1986)].
  35. G. Mckeon, Propagation of a neutrino in a homogeneous magnetic field, Phys. Rev. D 24, 2744 (1981).
  36. A. V. Borisov, V. C. Zhukovsky, A. V. Kurilin, and A. I. Ternov, Radiative corrections to the mass of the neutrino in an external electromagnetic field, Yad. Fiz. 41, 743 (1985) [Sov. J. Nucl. Phys. 41, 473 (1985)].
  37. A. Erdas and G. Feldman, Magnetic field effects on Lagrangians and neutrino self-energies in the Salam-Weinberg theory in arbitrary gauges, Nucl. Phys. B343, 597 (1990).
  38. A. V. Kuznetsov and N. V. Mikheev, Neutrino dispersion properties in an external magnetic field, Yad. Fiz. 70, 1299 (2007) [Phys. At. Nucl. 70, 1258 (2007)].
  39. K. Bhattacharya and S. Sahu, Neutrino absorption by W production in the presence of a magnetic field, Eur. Phys. J. C 62, 481 (2009).
  40. A. Erdas, Neutrino self-energy in external magnetic field, Phys. Rev. D 80, 113004 (2009).
  41. A. V. Kuznetsov, N. V. Mikheev, and A. V. Serghienko, High-energy neutrino absorption by W production in a strong magnetic field, Phys. Lett. B 690, 386 (2010).
  42. A. Bravo Garcia, K. Bhattacharya, and S. Sahu, The neutrino self-energy in a magnetized medium, Mod. Phys. Lett. A 23, 2771 (2008).
  43. P. A. Eminov, Spin and dispersion of a massive Dirac neutrino in a magnetized plasma, Zh. Eksp. Teor. Fiz. 149, 76 (2016) [J. Exp. Theor. Phys. 122, 63 (2016)].

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation