Anomalous dimension with wrapping at four loops in N=4N=4 SYM

In this paper we give all the details of the calculation that we presented in our previous paper [F. Fiamberti, A. Santambrogio, C. Sieg, D. Zanon, Wrapping at four loops in N=4N=4 SYM, arXiv: 0712.3522], concerning the four-loop anomalous dimension of the Konishi descendant tr(ϕZϕZ−ϕϕZZ)tr(ϕZϕZ−ϕϕZZ) in the SU(2)SU(2) sector of the N=4N=4 planar SYM theory. We explicitly consider all the wrapping diagrams that we compute using an N=1N=1 superspace approach and Gegenbauer polynomial x-space techniques.