Speaker
Description
In this talk, I will present a novel framework to compute massive tree-level cosmological correlators based on "spectral gluing". The central idea is to decompose exchange diagrams into elementary vertex functions and systematically reconstruct arbitrary tree graphs through an algorithmic gluing procedure involving spectral integration. This approach provides a unifying and efficient method to generate correlators of increasing complexity, bypassing many of the technical challenges of direct in-in computations.
A key outcome of this construction is the emergence of partially resummed, closed-form expressions for general tree-level exchange diagrams. The gluing procedure makes the analytic structure of correlators manifest. In particular, we find that massive tree graphs exhibit a striking uniform transcendental weight and admit representations in terms of multivariable Lauricella functions.
Our method also yields new mathematical identities, relating sums of products of generalised hypergeometric functions to significantly simpler expressions, which in certain cases reduce to rational functions. These results point to previously unnoticed hidden simplicity underlying cosmological correlators.
| Other topic / keywords: | Cosmological Correlators |
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