Table 3
Description of the parameters that govern the population models.
| GW source population | |
|---|---|
| Definition of the mass distribution parameters | |
| Parameter | Description |
| α | Spectral index for the power law of the primary mass distribution |
| α2 | Second spectral index for the power law of the primary mass distribution in case |
| β | Spectral index for the power law of the mass ratio distribution |
| b | Point in the mass distribution were the slope changes in M⊙ |
| Mmin | Minimum mass of the power law component of the primary mass distribution in M⊙ |
| Mmax | Maximum mass of the power law component of the primary mass distribution in M⊙ |
| μg | Mean of the Gaussian component in the primary mass distribution in M⊙ |
| λg | Fraction of the model in the Gaussian component |
| MPISN(Z*) | The value of the PISN mass scale in M⊙ units at metallicity Z* = 10−4 |
| σg | Width of the Gaussian component in the primary mass distribution in M⊙ |
| δm | Range of mass tapering at the lower end of the mass distribution in M⊙ |
| λg,low | Fraction of the model in the secondary Gaussian component |
| μg,low | Mean of the secondary Gaussian component in the primary mass distribution in M⊙ |
| σg,low | Width of the secondary Gaussian component in the primary mass distribution in M⊙ |
| ϵx | Redshift-evolution parameter of the x parameter |
| Definition of the merger rate parameters | |
| Parameter | Description |
| γ | Power-law index describing the merger rate at low redshift |
| κ | Power-law index describing the merger rate at high redshift |
| zp | The redshift where the slope of the merger rate changes |
| R0 | Value of the merger rate at z = 0 in Gpc−3 yr−1 |
| Definition of the time delay parameters | |
| Parameter | Description |
| d | Spectral index for the power law of the delay time distribution |
 |
Minimum time for the power law of the delay time distribution in Gyrs |
| αZ | The parameter that captures a weak logarithmic dependence of MPISN on the metallicity |
| γZ | The parameter that captures the redshift dependence of the metallicity |
| Definition of the spin parameters | |
| Parameter | Description |
| χ0 | Mean value of the spin distribution for the Gaussian model |
| σ0 | Value of the standard deviation of the spin distribution for the Gaussian model |
| mth | Mass threshold value below which spins are set to 0 |
| μχ,0 | Mean of the Gaussian distribution for χeff |
| σχ,0 | Standard deviation of the Gaussian distribution for χeff |
| αs | Mass-ratio correlation parameter for the expectation value |
| βs | Mass-ratio correlation parameter for the standard deviation |
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.