A cosmological fit with Planck CMB and DESI BAO data rules out purely bosonic neutrinos at 95% confidence and favors Fermi-Dirac statistics.
Neutrino statistics and big bang nucleosyn- thesis
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Constraint on Neutrino Statistics from Cosmological Data
A cosmological fit with Planck CMB and DESI BAO data rules out purely bosonic neutrinos at 95% confidence and favors Fermi-Dirac statistics.