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Differential equations for tree--level cosmological correlators with massive states

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arxiv 2411.05632 v3 pith:OJHPXKBL submitted 2024-11-08 hep-th gr-qc

Federico Gasparotto , Pouria Mazloumi , Xiaofeng Xu This is my paper · ORCID
classification hep-thgr-qc
keywords massivecorrelatorscosmologicaldifferentialequationsseriesstatesaspects
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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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  1. All Tree-Level Massive Cosmological Correlators via Spectral Gluing

    hep-th 2026-07 conditional novelty 7.0 of 10

    Tree-level massive de Sitter correlators are constructed by gluing Lauricella-type vertex functions according to graph combinatorics, and the hypergeometric content collapses to rational functions once the dynamical p...

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