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We present calculations showing that upcoming Cosmic Microwave Background(CMB) experiments will have the power to improve on current constraints onneutrino masses and provide new limits on neutrino degeneracy parameters. Thelatter could surpass those derived from Big Bang Nucleosynthesis (BBN) and theobservationally-inferred primordial helium abundance. These conclusions derivefrom our Monte Carlo Markov Chain (MCMC) simulations which incorporate a fullBBN nuclear reaction network. This provides a self-consistent treatment of thehelium abundance, the baryon number, the three individual neutrino degeneracyparameters and other cosmological parameters. Our analysis focuses on theeffects of gravitational lensing on CMB constraints on neutrino rest mass anddegeneracy parameter. We find for the PLANCK experiment that total (summed)neutrino mass $M_{\nu} > 0.29$ eV could be ruled out at $2\sigma$ or better.Likewise neutrino degeneracy parameters $\xi_{\nu_{e}} > 0.11$ and $|\xi_{\nu_{\mu/\tau}} | > 0.49$ could be detected or ruled out at $2\sigma$confidence, or better. For POLARBEAR we find that the corresponding detectablevalues are $M_\nu > 0.75 {\rm eV}$, $\xi_{\nu_{e}} > 0.62$, and $|\xi_{\nu_{\mu/\tau}}| > 1.1$, while for EPIC we obtain $M_\nu > 0.20 {\rm eV}$,$\xi_{\nu_{e}} > 0.045$, and $|\xi_{\nu_{\mu/\tau}}| > 0.29$. Our forcast forEPIC demonstrates that CMB observations have the potential to set constraintson neutrino degeneracy parameters which are better than BBN-derived limits andan order of magnitude better than current WMAP-derived limits.

Using Big Bang Nucleosynthesis to Extend CMB Probes of Neutrino Physics