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The statistics of curvature-profile dispersion in primordial black hole formation
In the standard curvature perturbation scenario, PBHs form from the collapse of superhorizon curvature fluctuations after horizon re entry. The predicted abundance is exponentially sensitive to the collapse threshold and hence to the shape of the primordial curvature profile. In this work we develop a finite action framework to describe curvature profile dispersion around representative peak profiles. Using a mult...