Neutrino magnetic moment, CP violation, and flavor oscillations in matter

Y. Pehlivan, A. B. Balantekin, and Toshitaka Kajino
Phys. Rev. D 90, 065011 – Published 9 September 2014

Abstract

We consider collective oscillations of neutrinos, which are emergent nonlinear flavor evolution phenomena instigated by neutrino-neutrino interactions in astrophysical environments with sufficiently high neutrino densities. We investigate the symmetries of the problem in the full three-flavor mixing scheme and in the exact many-body formulation by including the effects of CP violation and the neutrino magnetic moment. We show that, similar to the two-flavor scheme, several dynamical symmetries exist for three flavors in the single-angle approximation if the net electron background in the environment and the effects of the neutrino magnetic moment are negligible. Moreover, we show that these dynamical symmetries are present even when the CP symmetry is violated in neutrino oscillations. We explicitly write down the constants of motion through which these dynamical symmetries manifest themselves in terms of the generators of the SU(3) flavor transformations. We also show that the effects due to the CP-violating Dirac phase factor out of the many-body evolution operator and evolve independently of nonlinear flavor transformations if neutrino electromagnetic interactions are ignored. In the presence of a strong magnetic field, CP-violating effects can still be considered independently provided that an effective definition for the neutrino magnetic moment is used.

  • Figure
  • Received 19 June 2014

DOI:https://doi.org/10.1103/PhysRevD.90.065011

© 2014 American Physical Society

Authors & Affiliations

Y. Pehlivan1,2,*, A. B. Balantekin3,†, and Toshitaka Kajino2,4,‡

  • 1Mimar Sinan Fine Arts University, Sisli, Istanbul 34380, Turkey
  • 2National Astronomical Observatory of Japan 2-21-1 Osawa, Mitaka, Tokyo 181-8588, Japan
  • 3Department of Physics, University of Wisconsin-Madison, Wisconsin 53706, USA
  • 4Department of Astronomy, University of Tokyo, Tokyo 113-0033, Japan

  • *yamac.pehlivan@msgsu.edu.tr
  • baha@physics.wisc.edu
  • kajino@nao.ac.jp

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 6 — 15 September 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×