Cosmological scattering equations at tree-level and one-loop

A bstract We recently proposed a formula for tree-level n -point correlators of massive ? 4 theory in de Sitter momentum space which consists an integral over punctures on the Riemann sphere and differential operators future boundary dubbed cosmological scattering equations. This was explicitly checked up to six points via map Witten diagrams using global residue theorem. In this work we provide further details these calculations present alternative formulation based double cover sphere. framework can be used derive simple graphical rules evaluating integrals more efficiently. Using rules, check validity our eight sketch derivation correlators. Finally, propose similar 1-loop terms ( + 2) sphere, verify at four points. The holds small masses arbitrary satisfying Breitenlohner-Freedman bound after Wick-rotating Anti-de space.