Speaker
Description
In this talk, I will discuss recent advancements in calculating integrals of cosmological correlators in the de Sitter universe. I will begin by examining the case of massless scalars and how they have been recently addressed using twisted cohomology. The main focus of this talk will be on relative twisted cohomology, presenting our new results for correlators with internally massive states by utilizing the integral representation of the Bessel $K_\nu(z)$ function. Specifically, inspired by perturbative calculations of Feynman integrals, I will introduce the master integrals associated with the two-site cubic interaction at tree level involving one internal massive exchange. I will demonstrate how we obtain the "$\lambda$" factorized system of differential equations for these master integrals and their solutions. Finally, I will comment on the fully massive case, explaining its subtleties and how it can be calculated using our mathematical framework.
