We propose a new framework for computing three-point functions in planar N = 4 super Yang Mills where these correlators take the form of multiple integrals of Separation of Variables type. We test this formalism at weak coupling at leading and next-to-leading orders in a non-compact SL(2) sector of the theory and all the way to next-to-next-to-leading orders for a compact SU(2) sector. [The talk will also be streamed online, please ask the organizers for the link.]