I've asked this question already on the Physics SE, but I felt it would be worth posting here as well.

I know that based upon theories of structure formation cosmologists can constrain the sum of the masses of neutrinos - if neutrinos were too light or too heavy it would simply change the power spectrum of the universe.

My question is how exactly is the number of neutrino species constrained by cosmological measurements (i.e. - $N_{eff}$ as measured by WMAP or Planck)? The recent results from the Planck Satellite give us $3.3\pm0.3$, which is consistent with three neutrino species. How is this measured?


1 Answer 1


The original research paper, p.43, section 6.3.2.

I leave it to someone else to find comprehensible words to describe the connection between CMB, redshift and effective neutrino number.

  • 4
    $\begingroup$ While this link may answer the question, it is better to include the essential parts of the answer here and provide the link for reference. Link-only answers can become invalid if the linked page changes. - From Review $\endgroup$ Commented Oct 20, 2016 at 19:10
  • $\begingroup$ @Hohmannfan Converted to wiki at Gerald's request so that others can make the necessary modifications to beef up the answer. Gerald is currently busy. $\endgroup$
    – called2voyage
    Commented Oct 26, 2016 at 18:06
  • $\begingroup$ The link does not work anymore.... What was the exact name of the original research paper it is supposed to link to? $\endgroup$
    – Kurt Hikes
    Commented Nov 4, 2021 at 0:05

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