Table 4.
Priors on the parameters used in the fitting of the count rate–mass relation.
| Parameter | Units | Prior | |||||
|---|---|---|---|---|---|---|---|
| Cosmology | |||||||
| ΩM | – | 𝒩(0.331, 0.038) | |||||
| log10AS | – | Fixed to −8.635 | |||||
| H0 |
 |
Fixed to 68.06 | |||||
| Ωb, 0 | – | Fixed to 0.048595 | |||||
| nS | – | Fixed to 0.9707 | |||||
| w0 | – | Fixed to −1 | |||||
| wa | – | Fixed to 0 | |||||
| ∑mν | eV | Fixed to 0 | |||||
| Ωk, 0 | – | Fixed to 0 | |||||
| X-ray scaling relation | |||||||
| AX | – | 𝒰(0.01, 3) | |||||
| BX | – | 𝒰(0.1, 5) | |||||
| CX | – | Fixed to 0 | |||||
| DX | – | Fixed to −2 | |||||
| EX | – | Fixed to 2 | |||||
| FX | – | 𝒰(−5, 5) | |||||
| GX | – | 𝒰(−5, 5) | |||||
| σX | – | 𝒰(0.05, 2) | |||||
| WL mass calibration | |||||||
| AWL, DES | – | 𝒩(0, 1) | |||||
| BWL, DES | – | 𝒩(0, 1) | |||||
| CWL, DES | – | 𝒩(0, 1) | |||||
| DWL, DES | – | 𝒩(0, 1) | |||||
| ρWL, X | – | 𝒰(−0.9, 0.9) | |||||
| Contamination modeling | |||||||
| fAGN | – | 𝒯𝒩(0.0412, 0.0040, 0, ∞) | |||||
| fRS | – | 𝒯𝒩(0.0064, 0.0024, 0, ∞) | |||||
Notes. With 𝒰(min, max) we indicate a uniform distribution between “min” and “max”. With 𝒩(μ, σ) we indicate a normal distribution centered on μ and with standard deviation σ. With 𝒯𝒩(μ, σ, min, max) we indicate a truncated normal distribution centered on μ and with standard deviation σ bounded between “min” and “max”.
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