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Home All issues Volume 500 / No 2 (June III 2009) A&A, 500 2 (2009) L17-L20 Full HTML
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Table 1:

Correlations of flux ratios $\mathcal{R}$ with SN Ia absolute magnitudes and standard deviations of Hubble diagram fits.
Correction Correlation with absolute magnitude   Hubble diagram residual scatter  
parameter(s) Training Validation Combined $\gamma$      Training Validation Combined $\sigma_{\rm core}$
$\mathcal{R}_{642/443}$ 0.94 0.96 0.95 $3.5 \pm 0.2$ $0.130 \pm 0.018$ $0.134 \pm 0.018$ $0.128 \pm 0.012$ 0.108
$\mathcal{R}_{642/417}$ 0.95 0.91 0.91 $4.9 \pm 0.2$ $0.114 \pm 0.016$ $0.185 \pm 0.025$ $0.166 \pm 0.016$ 0.162
$\mathcal{R}_{772/437}$ 0.92 0.94 0.93 $7.3 \pm 0.3$ $0.142 \pm 0.020$ $0.160 \pm 0.021$ $0.152 \pm 0.014$ 0.125
$\mathcal{R}_{642/512}$ 0.90 0.95 0.93 $4.7 \pm 0.3$ $0.162 \pm 0.022$ $0.146 \pm 0.020$ $0.154 \pm 0.015$ 0.152
$\mathcal{R}_{728/398}$ 0.90 0.93 0.91 $7.9 \pm 0.3$ $0.162 \pm 0.022$ $0.168 \pm 0.022$ $0.172 \pm 0.016$ 0.138
$c, \mathcal{R}^c_{642/519}$ 0.96 0.96 0.96 $3.5 \pm 0.3$ $0.106 \pm 0.015$ $0.129 \pm 0.018$ $0.119 \pm 0.011$ 0.128
$c, \mathcal{R}^c_{577/642}$ 0.95 0.95 0.95 $-1.4 \pm 0.1$ $0.115 \pm 0.016$ $0.150 \pm 0.020$ $0.135 \pm 0.013$ 0.126
$c, \mathcal{R}^c_{642/536}$ 0.95 0.96 0.95 $2.3 \pm 0.2$ $0.116 \pm 0.016$ $0.134 \pm 0.018$ $0.125 \pm 0.012$ 0.126
$c, \mathcal{R}^c_{676/642}$ 0.94 0.93 0.93 $-4.2 \pm 0.5$ $0.131 \pm 0.019$ $0.178 \pm 0.024$ $0.157 \pm 0.015$ 0.163
$c, \mathcal{R}^c_{642/443}$ 0.95 0.96 0.96 $3.2 \pm 0.3$ $0.121 \pm 0.017$ $0.125 \pm 0.017$ $0.119 \pm 0.011$ 0.104
c, x1 0.91 0.93 0.92 ...      $0.154 \pm 0.022$ $0.171 \pm 0.023$ $0.161 \pm 0.015$ 0.156

Notes: $\gamma$ is a fit parameter in the distance modulus $\mu_B = (m_B - M^\prime) + \gamma \mathcal{R}$, and $\sigma_{\rm core} = 1.4826\times {\rm median}(\vert\Delta\mu_B - {\rm median}(\Delta\mu_B)\vert)$.


Source LaTeX | All tables | In the text

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