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Effects of neutrino mass hierarchies on dynamical dark energy models

Weiqiang Yang, Rafael C. Nunes, Supriya Pan, David F. Mota

TL;DR

The paper investigates whether neutrino mass hierarchies NH, IH, and DH affect constraints on three dynamical dark energy parametrizations (CPL, Log, JBP) by combining Planck 2015 data with SNIa, BAO, RSD, WL, CC, and $H_0$ priors. Using MCMC with PPF for perturbations across hierarchies, the study finds broadly similar fits across models, with only modest shifts in the DE parameters, particularly $w_1$ for CPL and JBP. The derived upper limits on $\sum m_\nu$ depend on the model but remain consistent with LCDM expectations, and CMB spectra across hierarchies are indistinguishable from each other and from $\Lambda$CDM. Overall, neutrino mass hierarchy has a mild impact on dynamical DE constraints, reinforcing the robustness of DE inferences in the presence of massive neutrinos.

Abstract

We investigate how three different possibilities of neutrino mass hierarchies, namely normal, inverted, and degenerate, can affect the observational constraints on three well known dynamical dark energy models, namely the Chevallier-Polarski-Linder, logarithmic, and the Jassal-Bagla-Padmanabhan parametrizations. In order to impose the observational constraints on the models, we performed a robust analysis using Planck 2015 temperature and polarization data, Supernovae type Ia from Joint Light curve analysis, baryon acoustic oscillations distance measurements, redshift space distortion characterized by $f(z)σ_8(z)$ data, weak gravitational lensing data from Canada-France-Hawaii Telescope Lensing Survey, and cosmic chronometers data plus the local value of the Hubble parameter. We find that different neutrino mass hierarchies return similar fit on almost all model parameters and mildly change the dynamical dark energy properties.

Effects of neutrino mass hierarchies on dynamical dark energy models

TL;DR

The paper investigates whether neutrino mass hierarchies NH, IH, and DH affect constraints on three dynamical dark energy parametrizations (CPL, Log, JBP) by combining Planck 2015 data with SNIa, BAO, RSD, WL, CC, and priors. Using MCMC with PPF for perturbations across hierarchies, the study finds broadly similar fits across models, with only modest shifts in the DE parameters, particularly for CPL and JBP. The derived upper limits on depend on the model but remain consistent with LCDM expectations, and CMB spectra across hierarchies are indistinguishable from each other and from CDM. Overall, neutrino mass hierarchy has a mild impact on dynamical DE constraints, reinforcing the robustness of DE inferences in the presence of massive neutrinos.

Abstract

We investigate how three different possibilities of neutrino mass hierarchies, namely normal, inverted, and degenerate, can affect the observational constraints on three well known dynamical dark energy models, namely the Chevallier-Polarski-Linder, logarithmic, and the Jassal-Bagla-Padmanabhan parametrizations. In order to impose the observational constraints on the models, we performed a robust analysis using Planck 2015 temperature and polarization data, Supernovae type Ia from Joint Light curve analysis, baryon acoustic oscillations distance measurements, redshift space distortion characterized by data, weak gravitational lensing data from Canada-France-Hawaii Telescope Lensing Survey, and cosmic chronometers data plus the local value of the Hubble parameter. We find that different neutrino mass hierarchies return similar fit on almost all model parameters and mildly change the dynamical dark energy properties.

Paper Structure

This paper contains 9 sections, 13 equations, 5 figures, 4 tables.

Table of Contents

  1. Introduction
  2. Dynamical Dark energy
  3. Chevallier-Polarski-Linder (CPL) model
  4. The logarithmic model
  5. Jassal-Bagla-Padmanabhan (JBP) model
  6. Linear perturbations
  7. Data set and Methodology
  8. Results of the analysis
  9. Final Remarks

Figures (5)

  • Figure 1: 68% and 95% confidence-level contour plots for some selected parameters of the CPL parametrization considering three different neutrino mass hierarchies, namley the NH, IH, DH using CMB $+$ SNIa $+$ BAO $+$ RSD $+$ WL $+$ CC $+$$H_0$ data set.
  • Figure 2: 68% and 95% confidence-level contour plots for some selected parameters of the logarithmic parametrization considering three different neutrino mass hierarchies, namley the NH, IH, DH using CMB $+$ SNIa $+$ BAO $+$ RSD $+$ WL $+$ CC $+$$H_0$.
  • Figure 3: 68% and 95% confidence-level contour plots for some selected parameters of the JBP model considering three different neutrino mass hierarchies, namley the NH, IH, DH using CMB $+$ SNIa $+$ BAO $+$ RSD $+$ WL $+$ CC $+$$H_0$.
  • Figure 4: The CMB TT power spectrum for CPL (left panel), logarithmic (middle panel), and JBP (right panel) models for the three different mass hierarchy schemes, in compared to the $\Lambda$CDM TT power spectrum. We note that in all three plots the spectra for different hierarchies as well as for $\Lambda$CDM are completely indistinguishable from each other.
  • Figure 5: Evolution of the DE EoS as a function of the redshift for CPL (left panel), logarithmic (middle panel) and JBP (right panel) parametrizations at three different neutrino mass hierarchies have been shown for the best fit values of the model parameters $w_0$ and $w_1$ using the combined analysis CMB $+$ SNIa $+$ BAO $+$ RSD $+$ WL $+$ CC $+$$H_0$. In each plot, the solid, dot and dashdot curves stand for NH, IH and DH, respectively.