Covariance Matrices from Boera et al 2019:

These are the covariance matrices obtained directly from the publication from Boera et al

Normalized covariance matrix given by: \(\tilde{C}_{i,j} = C_{i,j} / \sqrt{C_{i,i} \,C_{j,j}}\)

Covariance Matrices from different simulations:

From our WDM grid of simulations I show the covariance matrices from several models:

To see the effects of changing the parameters independently, I change only one of the parameters while leaving the other equal to the default parameters below:

\[m_\mathrm{WDM}^{-1} = 0\,\,\ \mathrm{(CDM)}\] \[\beta_{\mathrm{H}}^{\mathrm{ion}} = 1.0\] \[\alpha E_{\mathrm{He}} = 0.9\] \[\Delta z_{\mathrm{H}} = 0.0\]

At \(z= 5.0\)

Changing \(m_{\mathrm{WDM}}\)

Changing \(\beta_{\mathrm{H}}^{\mathrm{ion}}\)

Changing \(\alpha E_{\mathrm{He}}\)

Changing \(\Delta z_{\mathrm{H}}\)

At \(z= 4.6\)

Changing \(m_{\mathrm{WDM}}\)

Changing \(\beta_{\mathrm{H}}^{\mathrm{ion}}\)

Changing \(\alpha E_{\mathrm{He}}\)

Changing \(\Delta z_{\mathrm{H}}\)

At \(z= 4.2\)

Changing \(m_{\mathrm{WDM}}\)

Changing \(\beta_{\mathrm{H}}^{\mathrm{ion}}\)

Changing \(\alpha E_{\mathrm{He}}\)

Changing \(\Delta z_{\mathrm{H}}\)