Eleonora Di Valentino, Massimiliano Lattanzi, Gianpiero Mangano, Alessandro Melchiorri, Pasquale D. Serpico
In the curvaton scenario, residual isocurvature perturbations can be
imprinted in the cosmic neutrino component after the decay of the curvaton
field, implying in turn a non-zero chemical potential in the neutrino
distribution. We study the constraints that future experiments like Planck or
CMBPol will be able to put on the amplitude of isocurvature perturbations in
the neutrino component. We express our results in terms of the square root
gamma of the non-adiabaticity parameter alpha and of the extra relativistic
degrees of freedom \Delta N_eff. Assuming a fiducial model with purely
adiabatic fluctuations, we find that Planck (CMBPol) will be able to put the
following upper limits at the 1sigma level: gamma < 5.3x10^{-3} (1.5x10^{-3})
and \Delta N_eff < 0.16\,(0.043). Finally, we recast these bounds in terms of
the background neutrino degeneracy parameter xi and the corresponding
perturbation amplitude sigma_xi, and compare with the bounds on xi that can be
derived from Big Bang Nucleosynthesis
View original:
http://arxiv.org/abs/1111.3810
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