English

Option of three pseudo--Dirac neutrinos

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

As an alternative for popular see-saw mechanism, the option of three pseudo% -Dirac neutrinos is discussed, where 1/2(m(L)+m(R))m(D){1/2}(m^{(L)} + m^{(R)}) \ll m^{(D)} for their Majorana and Dirac masses. The actual neutrino mass matrix is assumed in the form of tensor product M^{(\nu)} \otimes {(\{array} {cc} \lambda^{(L)} & 1 1 & \lambda^{(R)} \{array})}, where M(ν) M^{(\nu)} is a neutrino family mass matrix (M(ν)=M(ν) M^{(\nu) \dagger} = M^{(\nu)}) and λ(L,R)m(L,R)/m(D)\lambda^{(L,R)} \equiv m^{(L,R)}/m^{(D)} with m(L) m^{(L)}, m(R) m^{(R)} and m(D) m^{(D)} being taken as universal for three neutrino families. It is shown that three neutrino effects (deficits of solar νe\nu_e 's and atmospheric νμ \nu_\mu 's as well as the possible LSND excess of νe\nu_e 's in accelerator νμ\nu_\mu beam) can be nicely described by the corresponding neutrino oscillations, though the LSND effect may, alternatively, be eliminated (by a parameter choice). Atmospheric νμ\nu_\mu 's oscillate dominantly into ντ\nu_\tau 's, while solar νe\nu_e 's - into (existing here automatically) Majorana sterile counterparts of νe\nu_e 's. A phenomenological texture for neutrinos, compatible with the proposed description, is briefly presented.

Cite

@article{arxiv.hep-ph/9910308,
  title  = {Option of three pseudo--Dirac neutrinos},
  author = {Wojciech Krolikowski},
  journal= {arXiv preprint arXiv:hep-ph/9910308},
  year   = {2007}
}

Comments

LaTeX, 10 pages