English

Majorana neutrino oscillations in vacuum

High Energy Physics - Phenomenology 2015-05-27 v5

Abstract

In the context of a type I seesaw scenario which leads to get light left-handed and heavy right-handed Majorana neutrinos, we obtain expressions for the transition probability densities between two flavor neutrinos in the cases of left-handed and right-handed neutrinos. We obtain these expressions in the context of an approach developed in the canonical formalism of Quantum Field Theory for neutrinos which are considered as superpositions of mass-eigenstate plane waves with specific momenta. The expressions obtained for the left-handed neutrino case after the ultra-relativistic limit is taking lead to the standard probability densities which describe light neutrino oscillations. For the right-handed neutrino case, the expressions describing heavy neutrino oscillations in the non-relativistic limit are different respect to the ones of the standard neutrino oscillations. However, the right-handed neutrino oscillations are phenomenologically restricted as is shown when the propagation of heavy neutrinos is considered as superpositions of mass-eigenstate wave packets.

Keywords

Cite

@article{arxiv.1103.2781,
  title  = {Majorana neutrino oscillations in vacuum},
  author = {Y. F. Perez and C. J. Quimbay},
  journal= {arXiv preprint arXiv:1103.2781},
  year   = {2015}
}

Comments

25 pages, abstract changed, two sections added, some references added