On the detection of neutrino oscillations with Planck surveyor

The imprint of neutrino oscillations on the Cosmic Microwave Background (CMB) anisotropy and polarization power spectra is evaluated in a ΛCHDM model with two active neutrino flavors, consistent with the structure formation models and the atmospheric neutrino oscillations data. By using the Fisher information matrix method we find that the neutrino oscillations could be detected by Planck surveyor if the present value of the lepton asymmetry Lν ≥ 4.5×10−3, the difference of the neutrino squared masses ∆m ≥ 9.7× 10eV and the vacuum mixing angle sin 2θ0 ≥ 0.13, showing the existence of a significant overlap between the region of the oscillation parameter space that can be measured by Planck surveyor and that implied by the atmospheric neutrino oscillations data.