Description
In this talk, I will present our work (arXiv:2405.10374) on the Bispectrum
at 1-loop in the Effective Field Theory of Inflation (EFToI). Unlike the 1-loop power
spectrum (arXiv:0912.2734), we show that the unphysical logarithms of 1-loop
correction to the bispectrum, and more generally to higher point correlators, cancel
only after renormalization. I will then discuss our analysis of the singularity
structure of 1-loop inflationary correlators (arXiv:2503.21880). We formulate a set
of diagrammatic rules that allows extraction of the singularities of any two-site
one-loop diagram, without performing the integrals. These rules identify poles and
branch cuts directly from the energy flow through specific subgraphs. I will also
present new results on the effect of non-local interactions on loop-level correlators.
Such interactions naturally arise in realistic inflationary effective actions, but have
been largely unexplored. Finally, I will discuss the flat-space limit of the 1-loop
inflationary correlator and highlight some subtle aspects of this correspondence.