Multiparton Webs Beyond Three Loops

In QCD, the soft function exponentiate in terms of diagrams known as webs. We have defined Cwebs or correlator webs which are useful in the calculation of soft function exponentiation at higher perturbative orders. We review the results of the four-loop Cweb mixing matrices. We also provide a direct construction of a few of the mixing matrices without applying the complicated steps of the replica trick.