Table D.1.
Summary of the median values and uncertainties at the 16th and 84th percentiles of the fitted parameters for the HSE-to-lensing mass SR for HSE masses obtained from the 
scaling relation and from the fit of an NFW model to the X-ray data.
| Sample | # of clusters | No  |
||||
|---|---|---|---|---|---|---|
 |
αHSE | eαHSE = (1 − b) | βHSE | σHSE | σlens | |
| Reference sample | 53 |
 |
 |
[1] |
 |
 |
| Reference sample | 53 |
 |
 |
 |
 |
|
| Reference sample (BCES) | 53 | 0.504 ± 0.262 | 0.662 ± 0.122 | 0.250* | - | |
| AHSE [1014 M⊙] | BHSE | σHSE [1014 M⊙] | σlens [1014 M⊙] | |||
| Reference sample | 53 |
 |
 |
 |
 |
|
| Reference sample (BCES) | 53 | 2.401 ± 0.781 | 0.487 ± 0.095 | 1.480* | - | |
| NFW fit | αHSE | eαHSE = (1 − b) | βHSE | σHSE | σlens | |
| z < 0.9 | 50 |
 |
 |
[1] |
 |
 |
| z < 0.9 | 50 |
 |
 |
 |
 |
|
| z < 0.9 (BCES) | 50 | 0.032 ± 0.485 | 0.836 ± 0.222 | 0.329* | - | |
| AHSE [1014 M⊙] | BHSE | σHSE [1014 M⊙] | σlens [1014 M⊙] | |||
| z < 0.9 | 50 |
 |
 |
 |
 |
|
| z < 0.9 (BCES) | 50 | 0.530 ± 1.343 | 0.646 ± 0.159 | 1.944* | - | |
Notes. We present the results assuming linearity, a deviation from linearity, and an offset between HSE and lensing masses. For the BCES fit, we report the best-fit values and 1σ uncertainties. ( * ) We also calculate the scatter with respect to the best BCES scaling relations following Eq. 4.
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