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SCIENCE CHINA Physics, Mechanics & Astronomy, Volume 61 , Issue 3 : 039521(2018) https://doi.org/10.1007/s11433-017-9125-0

Detecting the neutrinos mass hierarchy from cosmological data

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  • ReceivedSep 19, 2017
  • AcceptedOct 20, 2017
  • PublishedDec 18, 2017

Abstract

There is no abstract available for this article.


Acknowledgment

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11275035, 11675032, 11322545, 11335012, and 11575271), “the Fundamental Research Funds for the Central Universities" (Grant No. DUT16LK31), the Top-Notch Young Talents Program of China, and the Key Research Program of Frontier Sciences, Chinese Academy of Sciences.


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  • Figure 1

    The total neutrino mass with respect to the mass hierarchy parameter $\Delta$.

  • Figure 2

    (Color online) The effects of hierarchy parameter $\Delta$ on the CMB TT (a), TE (b) and EE (c) power spectra from the top to the bottom respectively.

  • Figure 3

    (Color online) The effects of hierarchy parameter $\Delta$ on the matter power spectrum at $z=0$.

  • Figure 4

    (Color online) The 1D marginalized distribution and 2D contours for interested model parameters with $68%$ and $95%$ confidence levels.

  • Table 1   The priors, $68%$ limits and best fit values for the based and derived cosmological parameters
    Parameters Flat priors $68%$ limits
    $\Omega_\text{b}~h^2$ $[0.005,0.1]$ $~0.02237\pm~0.00014$
    $\Omega_\text{c}~h^2$ $[0.001,~0.99]$ $~0.1177\pm~0.0010$
    $100\theta_{\text{MC}}$ $[0.5,10]$ $~1.04095\pm~0.00031$
    $\tau$ $[0.01,0.8]$ $~0.078\pm~0.016$
    ${\rm{ln}}(10^{10}~A_\text{s})$ $[2,4]$ $~3.086\pm~0.032$
    $n_\text{s}$ $[0.8,1.2]$ $~0.9697\pm~0.0038$
    $H_0$ $[40,100]$ $~67.93\pm~0.48$
    $\Omega_\Lambda$ $-$ $~0.6942\pm0.0062$
    $\Omega_m$ $-$ $~0.3058\pm~0.0062$
    $\sigma_8$ $-$ $~0.815\pm~0.013$
    $z_{\rm~re}$ $-$ $~9.89_{-~1.36}^{+~1.57}$
    $\Delta$ (95$%$) $[-1,1]$ $-1\leq~\Delta<-0.40$ or $0.32<\Delta\leq~1$
    $m^{\rm{NH}}_{\nu,\rm{min}}$ eV (95$%$) $-$ $~<0.030$
    $m^{\rm~IH}_{\nu,\rm{min}}$ eV (95$%$) $-$ $~<0.024$

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