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

- Institution: CERN
- Department: TH institutes
- Speaker: Zhong-Zhi Xianyu
- Year: 2024
- Language: English
- Source: [CERN](https://videos.cern.ch/record/3020126)
- Licence: [CERN](http://copyright.web.cern.ch)
- Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

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..

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## Lectures

1. [New analytical results for massive inflationary correlators at tree and loop orders](https://invisiblenetwork.ai/learn/cern/3020126/fffb7e109f9d), 44 min (CERN's player)