Cosmological bound on neutrino masses in the light of H0 tension

Abstract

Although cosmic microwave background (CMB) is a critical component of cosmological probes of neutrino masses, it has trouble with local direct measurements of ${H}_{0}$, and this is called the ${H}_{0}$ tension. Since neutrino masses are correlated with ${H}_{0}$ in CMB, one can expect the cosmological bound on neutrino masses would be much affected by the ${H}_{0}$ tension. We investigate what impact this tension brings to the cosmological bound on neutrino masses by assuming a model with early recombination in the framework allowing a nonflat Universe which has been shown to resolve the tension. We argue that constraints on neutrino masses become significantly weaker in models where the ${H}_{0}$ tension can be resolved.