Cosmological Concordance in an Especially Opaque Universe: A Tentative Cosmological Detection of Physical Neutrino Mass in CDM

The measurement of the sum of neutrino masses is among the primary promises of precision cosmology, achievable by combining complementary early- and late-Universe probes. However, these datasets currently exhibit mild-to-strong disagreements within CDM and its simplest extensions, giving rise to multiple tensions, including the Hubble tension, the preference for "negative" neutrino mass, and indications of evolving dark energy. It has recently been shown that these tensions can be alleviated by adopting a higher value of the optical depth to reionization parameter, tau, when large-scale cosmic microwave background (CMB) polarization data are ignored. We extend this proposal and show that an especially high prior on tau = 0.11 plus or minus 0.006 simultaneously addresses all three of these tensions, significantly reducing the need for new physics beyond CDM. We determine the "concordance" value of tau by requiring physical neutrino mass and consistency of the Hubble constant, H 0, inferred from the CMB and that preferred by the Dark Energy Spectroscopic Instrument (DESI) baryon acoustic oscillation (BAO) and full-shape measurements. Within this high- tau Universe, we obtain the first 2 sigma detection of a positive neutrino mass, m nu = 0.10+0.04-0.05 eV at 68% C.L., while restoring cosmological concordance between datasets within CDM. In particular, low-redshift distance predictions are consistent with DESI BAO observations and the inferred dark-energy equation-of-state parameters are consistent with a cosmological constant, both with and without supernovae data. The concordance power of our tau prior further motivates new measurements of tau, e.g., through large angular scale CMB polarization observations with the LiteBIRD, CLASS, or proposed PICO experiments. (Abridged)