Mathematical study reveals series expressions for tree-level correlators in a de Sitter universe, highlighting twisted cohomology and differential equations.
A bstract We study mathematical aspects concerning two site tree-level cosmological correlators with massive internal and external states in a de Sitter universe. We employ integration by parts identities, (relative) twisted cohomology and the method of differential equations. We explicitly express the internally massive, externally conformally coupled correlator as a power series with respect to a small mass parameter, where the various terms in the series are given by multiple polylogarithms.
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Gasparotto et al. (2025) studied this question.
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