Population Properties of Compact Objects from the Second LIGO-Virgo Gravitational-Wave Transient Catalog

We report on the population of 47 compact binary mergers detected with a false-alarm rate of <1 yr(-1) in the second LIGO-Virgo Gravitational-Wave.Transient.Catalog. We observe several characteristics of the merging binary.black.hole (BBH) population not discernible until now. First, the primary mass spectrum contains structure beyond a power law with a sharp high-mass cutoff; it is more consistent with a broken.power.law with a break at -.39.7(-9.1)(+20.3) M-circle dot or a power.law with a Gaussian feature peaking at 33.1(-5.6)(+4.0) M-circle dot (90\% credible interval). While the primary mass distribution must extend to similar to 65 M-circle dot or beyond, only 2.9(-1.7)(+3.5)\% of systems have primary masses greater than 45 M-circle dot. Second, we find that a fraction of BBH.systems have component spins misaligned with the orbital angular momentum, giving rise to precession of the orbital plane. Moreover, 12\%-44\% of BBH systems have spins tilted by more than 90 degrees, giving rise to a negative effective inspiral spin parameter, chi(eff). Under the assumption that such systems can only be formed by dynamical interactions, we infer that between.25\% and.93\% of BBHs with nonvanishing vertical bar chi eff vertical bar > 0.01 are dynamically assembled. Third, we estimate merger rates, finding R-BBH= 23.9(-8.6)(+14.3) Gpc(-3) yr(-1) for BBHs and = R-BNS = 320(-240)(+490) Gpc(-3) yr(-1) for binary neutron stars. We find that the BBH rate likely increases with redshift (85\% credibility) but not faster than the star formation rate (86\% credibility). Additionally, we examine recent exceptional events in the context of our population models, finding that the asymmetric masses of GW190412 and the high component masses of GW190521 are consistent with our models, but the low secondary mass of GW190814 makes it an outlier.