Taming the infrared in de Sitter space: autonomous equations, stochastic approach, and Borel resummation
This paper investigates the divergent perturbative series of correlation functions for a massless, self-interacting scalar field in de Sitter space by applying autonomous equations to both the original series and their Borel-Le Roy transforms, demonstrating that the latter approach yields results that substantially better match the stochastic picture while also offering new derivations and methods for extracting perturbative coefficients.