Title: Bootstrap our way towards inflationary new physics

Abstract: Cosmological correlation functions contain valuable information about the primordial Universe, with possible signatures of new physics at extremely high energies. In this talk, I will apply the cosmological bootstrap to systematically classify inflationary three-point correlators of scalar perturbations. For the first time, we derive a complete set of scalar bispectra with new non-Gaussianity shapes and large signals. In particular, our analysis incorporates three distinct but phenomenologically important cases: i) single field inflation, with equilateral-type non-Gaussianity from contact diagrams; ii) cosmological colliders, from massive exchanges; iii) multi-field inflation, with the local-type non-Gaussianity from the massless exchange.  The bootstrap approach allows us to consider all the possible interactions and particle species during inflation, and the resulting correlators are presented in analytic form, for any kinematics. Furthermore, we identify new phenomenology in these shapes, including two distinctive examples — the “equilateral collider” shape and the “multi-speed non-Gaussianity”. These new results from the bootstrap analysis provide interesting targets for the data analysis of upcoming cosmological surveys.