The K-intertwining conjecture for electroweak S matrices

Let ${\mathcal H}_k$ denote the Hilbert space associated with the incoming $(k,l)$ scattering sector, and let ${\mathcal D}_l$ denote the corresponding outgoing space. An operator is $K$-intertwining when it respects the action of the group $K$ on these spaces. Electroweak K-intertwining conjecture. All S matrices obtained from Feynman diagrams associated with the electroweak force for $(k,l)$ scattering are $K$-intertwining operators from ${\mathcal H}_k$ to ${\mathcal D}_l$. This would extend the verified intertwining property of the explicitly computed electroweak scattering kernels to all S matrices arising from the electroweak force; the supplied text gives no resolution of the conjecture.