Zhong-Zhi Xianyu: Family tree decomposition of cosmological correlators #ICBS2024

The correlation functions of large-scale fluctuations are crucial observables in modern cosmology. There have been considerable efforts in the analytical study of cosmological correlators in recent years. In this talk, I will introduce the basic structure of cosmological correlators and several analytical methods we recently proposed for computing them. In particular, I will describe the family tree decomposition of arbitrary nested time integrals. With this method, we largely solve the problem of analytical computation of massive tree amplitudes in dS and conformal scalar tree amplitudes in a power-law FRW universe.