Differential equations for tree--level cosmological correlators with massive states
High Energy Physics - Theory
2025-09-16 v3 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.2411.05632,
title = {Differential equations for tree--level cosmological correlators with massive states},
author = {Federico Gasparotto and Pouria Mazloumi and Xiaofeng Xu},
journal= {arXiv preprint arXiv:2411.05632},
year = {2025}
}
Comments
43 pages, 6 figures, 4 ancillary files; v2: ciations added, paremeter assumptions modifed and clarifications added; v3: ancillary files updated matches journal version