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

About

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..

0:00:00 Slide 1

0:01:29 Slide 2

0:03:13 Slide 3

0:04:43 Slide 4

0:06:00 Slide 5

0:09:53 Slide 6

0:11:10 Slide 7

0:12:46 Slide 8

0:14:39 Slide 9

0:16:09 Slide 10

0:18:16 Slide 11