  We propose a new framework for computing three-point functions in planar
$\mathcal{N}=4$ 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. We find evidence that wrapping effects can also be
incorporated.
