Combining Transit and Radial Velocity: A Synthesized Population Model

We present a framework for estimating exoplanet occurrence rates by synthesizing constraints from radial velocity and transit surveys simultaneously. employ approximate Bayesian computation various mass-radius (M-R) relations to explore the population models describing these surveys, both separately in joint fit. Using this approach, we fit planet distribution function of form $d^{2} N/d\log{P}d\log{M} \propto P^{\beta} M^{\alpha}$, with break power law mass at $M_{b}$, planets orbiting FGK stars periods $P = [25, 200]$ days masses $M [2, 50] M_{\oplus}$. find that M-R relation Otegi et al. (2020), which lets rocky volatile-rich populations overlap mass, allows us model is consistent types surveys. Our gives $M_{b} 21.6_{-3.2}^{+2.5} M_{\oplus}$ (errors reflect 68.3% credible interval). This nearly factor three higher than transit-only considerations an without such overlap. The corresponding planet-star ratio $q_{b} \sim 7\times10^{-5}$ may be microlensing studies ($q_b 6\times10^{-5} - 2\times10^{-4}$). also requires fraction $F_{\text{rocky}} 0.63_{-0.04}^{+0.04}$ region belong population. results strongly suggest future should account mixture distinct order describe observed