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28 October 2024 to 1 November 2024
CERN
Europe/Zurich timezone

New analytical results for massive inflationary correlators at tree and loop orders

31 Oct 2024, 14:45
45m
4/3-006 - TH Conference Room (CERN)

4/3-006 - TH Conference Room

CERN

110
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Speaker

Zhong-Zhi Xianyu

Description

I will report a few new methods and results we recently obtained on the analytical computation of cosmological correlators with massive exchanges. At the tree level, we derive a complete set of differential equations for an arbitrary number of massive exchanges. We find a straightforward way to directly write down the analytical solution in terms of multivariate hypergeometric functions. The solution has a neat interpretation as the sum of all possible cuts of a massive family tree. At the 1-loop order, we develop a new method, combining spectral decomposition and dispersion techniques, which allows us to find new and much simplified analytical expressions for massive bubble loop diagrams, which have a simple interpretation as the sum of all quasi-normal modes and their descendants.

Presentation materials