Bootstrapping one-loop inflation correlators with the spectral decomposition

Phenomenological studies of cosmological collider physics in recent years have identified many 1-loop inflation correlators as leading channels for discovering heavy new particles around or above the scale. However, complete analytical results these massive are currently unavailable. In this work, we embark on a program bootstrapping with exchanges at order, input tree-level and techniques spectral decomposition dS. As first step, present time class 4-point 3-point mediated by scalar fields order. Using full result, provide simple reliable approximations signals background squeezed limit. We also identify configurations trispectrum where oscillatory signal from loop is dominant over background.