It has been suggested that recent cosmological and flavor-oscillation data
favor the existence of additional neutrino species beyond the three predicted
by the Standard Model of particle physics. We apply Bayesian model selection to
determine whether there is indeed any evidence from current cosmological
datasets for the standard cosmological model to be extended to include
additional neutrino flavors. The datasets employed include cosmic microwave
background temperature, polarization and lensing power spectra, and
measurements of the baryon acoustic oscillation scale and the Hubble constant.
We also consider other extensions to the standard neutrino model, such as
massive neutrinos, and possible degeneracies with other cosmological
parameters. The Bayesian evidence indicates that current cosmological data do
not require any non-standard neutrino properties.Comment: 17 pages, 7 figures. v3: replaced with version published in JCAP
(typo fixes, including Figure 1 units
