
This is a data release to accompany arXiv:2402.07892 "Consistent eccentricities for gravitational wave astronomy: Resolving discrepancies between astrophysical simulations and waveform models". See also https://zenodo.org/doi/10.5281/zenodo.10974974. Please cite the paper (https://ui.adsabs.harvard.edu/abs/2024arXiv240207892V/abstract) if you use this in a publication or any other scientific work. The file can be read in using```import pandas data = pandas.read_hdf("CMC_eccentricities_standardized.hdf5")```The description of the different keys in the file are as follows:- `m1`: source-frame mass of the primary object in the binary in units of Msun- `m2`: source-frame mass of the secondary object in the binary in units of Msun- `chi1`: dimensionless spin of the primary object in the binary- `chi2`: dimensionless spin of the secondary object in the binary- `z`: cosmological redshift- `a0`: Initial separation in AU. This typically corresponds to the stopping criterion in astrophysical simulations.- `e0`: The eccentricity at the initial separation `a0`- `f0`: 22 mode frequency corresponding to the initial separation.- `channel`: Takes values between 1 and 5. - 1: Ejected mergers - 2: In-cluster (two-body) mergers - 3: Binary-Single Encounters - 4: Binary-Binary Encounters - 5: Single-Single Encounters- `cluster_weight`: Weight given to each binary based on cluster properties (mass and metallicity), assuming some initial mass function for the cluster and metallicity evolution as a function of redshift.- `cosmo_weight`: Weight given to each binary based on the redshift, to account for cosmological volume.- `e_W03_*Hz`: Eccentricities extracted from the Wen 2003 prescription at the reference peak frequency specified.- `e_t_2PN_10Hz`: Eccentricities extracted from the prescription in Vijaykumar et. al. 2024 at reference 22 mode frequency of 10 Hz. - `e_t_2PN_Mf_1000HzMsun`: Eccentricities extracted from the prescription in Vijaykumar et. al. 2024 at reference 22 mode frequency corresponding to `M \times f = 1000 Hz Msun`. This ensures that eccentricity is defined at a fixed number of cycles before merger, independent of the cosmological redshift. We strongly recommend that all eccentricity estimates from astrophysical simulations are quoted at a reference frequency corresponding to fixed `M \times f`.- `total_weight`: `cosmo_weight \times cluster_weight`NOTE: For mergers belonging to `channel=1`, we straightaway set the `e_t_*` estimates to zero. This is because mergers from this channel will not be eccentric at `f>10 Hz`, and due to its large initial separation is computationally intensive to evolve using the PN evolution equations.
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