Resolving the Negative Effective Neutrino Mass Parameter with Cosmic Birefringence

The recent measurement of baryonic acoustic oscillations by the Dark Energy Spectroscopic Instrument reveals a mild tension with observations of the cosmic microwave background (CMB) within the standard Λ cold dark matter (ΛCDM) cosmological model. This discrepancy leads to a preference for a total neutrino mass that is lower than the minimum value inferred from neutrino oscillation experiments. Alternatively, this tension can be eased within ΛCDM by assuming a higher optical depth (τ≃0.09), but such a value conflicts with large-scale CMB polarization data. We point out that cosmic birefringence, as suggested by recent Planck reanalyses, resolves this discrepancy if the birefringence angle varies significantly during reionization. Specifically, we consider the fact that the measured cosmic birefringence angle β_{0}=0.34±0.09(1σ)  deg has the phase ambiguity, i.e., the measured rotation angle is described by β=β_{0}+180n  deg (n∈Z). We show that cosmic birefringence induced by axionlike particles with nonzero n suppresses the reionization bump, allowing a higher τ consistent with data. We provide a viable parameter space where the birefringence effect simultaneously accounts for the low-ℓ polarization spectra, the Planck EB correlations, and the elevated value of τ, suggesting a key role for cosmic birefringence in current cosmological tensions.