  We have calculated the 1/M^4 (M the vector boson mass) order correction to
the neutrino self-energy in a medium. The possible application of this higher
order contribution to the neutrino effective potential is considered in the
context of the Early Universe hot plasma and of the cosmological Gamma Ray
Burst fireball. We found that, depending on the medium parameters and on the
neutrino properties (mixing angle and mass square difference) the resonant
oscillation of active to active neutrinos is possible.
