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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

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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A physical basis for cosmological correlators from cuts

    hep-th 2024-11 conditional novelty 8.0 of 10

    The physical subspace of FRW wavefunction integrals is characterized by shared cuts/residues, and the authors supply cut-tubing rules that enumerate its basis graphically.

  2. 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...

  3. Cosmological Correlators at the Loop Level

    hep-th 2024-11 conditional novelty 6.0 of 10

    Using the partial Mellin-Barnes method, the author derives analytic signals from one-loop bubble diagrams in inflation correlators, including the first analytic results for a de Sitter boost-breaking bubble.

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