An analytical joint prior for effective spins for inference on the spin distribution of binary black holes

Masaki Iwaya, Kazuya Kobayashi, Soichiro Morisaki +2

We derive an analytical form of the joint prior of effective spin parameters, ${\chi }_{\mathrm{eff}}$ and ${\chi }_{\mathrm{p}}$, assuming an isotropic and uniform-in-magnitude spin distribution.…