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    Turning a negative neutrino mass into a positive optical depth

    Tanisha Jhaveri, Tanvi Karwal, and Wayne Hu

    Phys. Rev. D 112, 043541 – Published 28 August, 2025

    DOI: https://doi.org/10.1103/6vd2-rbfn

    Abstract

    Under Λ cold dark matter (ΛCDM), recent baryon acoustic oscillation (BAO) distance measures from DESI, which favor a low matter density Ωm, are in moderate 2–3σ tension with cosmic microwave background (CMB) observations. This tension appears alternately as a preference for the sum of neutrino masses dropping below the ∑mν=0.06  eV value required by neutrino oscillation measurements to formally negative values; a discrepant value of Ωm at 0.06 eV; or preference for dynamical dark energy beyond ΛCDM. We show that this tension largely arises from the CMB lensing constraints on the calibration of the sound horizon for geometric measurements and relies on the measurement of the reionization optical depth τ from large-angle CMB polarization to set the lensing amplitude. Dropping these constraints removes the neutrino tension at ∑mν=0.06  eV entirely, favoring τ=0.091±0.011 in ΛCDM. Beyond ΛCDM, it brings the preference for w0−wa dynamical dark energy to below 95% CL. We explore the freedom in interpreting the low-ℓ EE polarization constraint due to analysis choices and reionization modeling beyond the standard step-function assumption and find that this drops the neutrino tension in ΛCDM to below 95% CL. Alternately, this raising of τ can also be achieved by the same reduction in large-scale curvature fluctuations that also ameliorates the low-ℓ temperature anomaly.

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