Negative Masses and Spatial Curvature: Effects on the neutrino mass tension in LambdaCDM and extended cosmologies

Abstract

We investigate the impact of spatial curvature, ${\Omega }_k$, and dynamical dark energy on the cosmological constraints of the neutrino mass sum, $\sum m_{\nu }$. Using a joint analysis of the latest CMB (Planck and ACT DR6), BAO (DESI DR2) and SNe Ia (DESY5 and DES-Dovekie) datasets, we perform an exploration of the neutrino mass parameter space. To mitigate prior-driven biases near the physical boundary, we implement a symmetric extension wrapper that allows for effective negative masses. We find that the inclusion of spatial curvature significantly modifies the posterior distributions, exhibiting a smooth transition across the $\sum m_{\nu }=0$ threshold. In the $\Lambda$CDM + ${\Omega }_k$ + $\sum m_{\nu ,\mathrm{eff}}$ framework, we obtain $\sum m_{\nu ,\mathrm{eff}}=-0.011_{-0.050}^{+0.052}$, reducing the tension with the terrestrial lower limit of 0.06 eV from $2.59\sigma$ for the $\Lambda$CDM + $\sum m_{\nu ,\mathrm{eff}}$ model to $1.17\sigma$. For the most flexible scenario $w_0{w}_a$CDM + ${\Omega }_k$ + $\sum m_{\nu ,\mathrm{eff}}$, we find $\sum m_{\nu ,\mathrm{eff}}=-0.07\pm 0.11$ with a tension of $1.13\sigma$, illustrating how the increased parameter freedom notably degrades the precision of the mass estimate compared to simpler extensions. Our results demonstrate that current cosmological bounds on $\sum m_{\nu }$ are heavily influenced by boundary effects and geometric degeneracies.

15 pages, 9 figures. Submitted to Physical Review D. Analysis includes DESI DR2, Planck 2018, DES-Dovekie and ACT DR6 data