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Description
Cosmological correlators are the de Sitter counterparts of scattering amplitudes, yet already at tree level the exchange of massive particles produces multivariate hypergeometric functions rather than rational ones.
In this talk, I will connect cosmology with Feynman integral techniques, and argue that this complexity is largely an illusion. I will show that any tree-level massive correlator factorises into universal vertex functions glued together by spectral integrals. These building blocks are conformal integrals in momentum space, close relatives of familiar Feynman integrals: the simplest one is the one-loop massless triangle with generic propagator powers, which integrates to an Appell F4 function. A gluing algorithm based on elementary graph combinatorics then fixes the full correlator. Along the way, I will introduce some techniques that may be new to you, such as the method of brackets, which yields series representations for seemingly complicated integrals.
Whether you like conformal integrals, cosmological correlators, or graph combinatorics, I hope there will be plenty on the table for everyone.
This talk is based on [arXiv:2607.18223] and [arXiv:2608.18073].