Primordial non-Gaussianity up to all orders: Theoretical aspects and implications for primordial black hole models

The authors develop a formalism for computing the abundance of primordial black holes (PBH) in the presence of local non-Gaussianities in the curvature perturbation field. They show that polynomial expansions will not suffice in certain limits and provide numerical methods to address this issue. They demonstrate how their technique affects both the total PBH abundances and gravitational wave expectations.