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Redshift-space distortion constraints on the neutrino mass and models to alleviate the Hubble tension

Yo Toda, Osamu Seto

TL;DR

This study assesses how redshift-space distortions (RSD) constrain neutrino mass and several extensions proposed to alleviate the Hubble tension. Using a CosmoMC analysis with Planck, BAO, Pantheon, and RSD data (plus an SH0ES $H_0$ prior), the authors find that RSD lowers the growth amplitude, modestly weakening the upper bound on $\sum m_\nu$ and shifting preferred regions for $H_0$ and $S_8$ depending on the model. Among the explored scenarios, the varying electron mass model with nonzero neutrino mass best reconciles both the Hubble and $S_8$ tensions, while CPL dark energy and extra radiation models tend to favor lower $H_0$ when RSD is included. Overall, RSD data provide a stringent, model-dependent test of extensions to $\Lambda$CDM and highlight the potential and limitations of these approaches for resolving cosmological tensions.

Abstract

We discuss the neutrino mass and Hubble tension solutions and examine their effects on the redshift-space distortion (RSD) observations. An analysis with RSD data indicates smaller amplitude of perturbation. Including RSD data results in a slightly weaker upper limit on the neutrino mass than that derived for data without RSD, which is common in other extended models too. We have evaluated the impacts of RSD observations on some extended models, including the varying electron mass model, a time-dependent dark energy model with two parameter equations of state (EOS), and a model where the number of neutrino species is free. When we estimate the cosmological parameters for data including RSD, we found that the EOS parameter for dark energy is larger than that of the cosmological constant, and the effective number of neutrino species is smaller than the standard value, which infers a smaller present Hubble parameter $H_0$. From the viewpoint of cosmological tensions, the varying electron mass model with nonzero neutrino mass option looks promising to relax the Hubble tension and the $S_8$ tension simultaneously.

Redshift-space distortion constraints on the neutrino mass and models to alleviate the Hubble tension

TL;DR

This study assesses how redshift-space distortions (RSD) constrain neutrino mass and several extensions proposed to alleviate the Hubble tension. Using a CosmoMC analysis with Planck, BAO, Pantheon, and RSD data (plus an SH0ES prior), the authors find that RSD lowers the growth amplitude, modestly weakening the upper bound on and shifting preferred regions for and depending on the model. Among the explored scenarios, the varying electron mass model with nonzero neutrino mass best reconciles both the Hubble and tensions, while CPL dark energy and extra radiation models tend to favor lower when RSD is included. Overall, RSD data provide a stringent, model-dependent test of extensions to CDM and highlight the potential and limitations of these approaches for resolving cosmological tensions.

Abstract

We discuss the neutrino mass and Hubble tension solutions and examine their effects on the redshift-space distortion (RSD) observations. An analysis with RSD data indicates smaller amplitude of perturbation. Including RSD data results in a slightly weaker upper limit on the neutrino mass than that derived for data without RSD, which is common in other extended models too. We have evaluated the impacts of RSD observations on some extended models, including the varying electron mass model, a time-dependent dark energy model with two parameter equations of state (EOS), and a model where the number of neutrino species is free. When we estimate the cosmological parameters for data including RSD, we found that the EOS parameter for dark energy is larger than that of the cosmological constant, and the effective number of neutrino species is smaller than the standard value, which infers a smaller present Hubble parameter . From the viewpoint of cosmological tensions, the varying electron mass model with nonzero neutrino mass option looks promising to relax the Hubble tension and the tension simultaneously.

Paper Structure

This paper contains 13 sections, 15 equations, 7 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Models
  3. $\Lambda$CDM
  4. Varying electron mass
  5. $w_0w_a$DE
  6. Extra radiation $N_{\mathrm{eff}}$
  7. datasets and methodology
  8. Results
  9. $\Lambda$CDM
  10. Varying $m_e$
  11. $w_0w_a$DE
  12. Extra radiation $N_{\mathrm{eff}}$
  13. Conclusions

Figures (7)

  • Figure 1: Recombination.
  • Figure 2: Posterior distributions of the several parameters on $\Lambda$CDM model and $\Lambda$CDM+$m_{\nu}$ model for the data $\mathcal{D}$ with/without RSD.
  • Figure 3: Posterior distributions of the several parameters on varying $m_e$ model and varying $m_e$+$m_{\nu}$ model for the data $\mathcal{D}$ with/without RSD.
  • Figure 4: Posterior distributions of the several parameters on $w_0w_a$DE model and $w_0w_a$DE+$m_{\nu}$ model for the data $\mathcal{D}$ with/without RSD.
  • Figure 5: Posterior distributions of the several parameters on $N_{\mathrm{eff}}$ model and $N_{\mathrm{eff}}$+$m_{\nu}$ model for the data $\mathcal{D}$ with/without RSD.
  • ...and 2 more figures