Triangular invariants, three-point functions and particle stability on the de Sitter universe

Understand

We study a class of three-point functions on the de Sitter universe and on the asymptotic cone.

• A blending of geometrical ideas and analytic methods is used to compute some remarkable integrals, on the basis of a generalized star-triangle identity living on the cone and on the complex de Sitter manifold.
• We discuss an application of the general results to the study of the stability of scalar particles on the Sitter universe.