BPS Wilson loops on S2 at higher loops

We consider supersymmetric Wilson loops of the variety constructed by Drukker, Giombi, Ricci, and Trancanelli, who sespatial contours lie on a two-sphere.Working to second order in the 't Hooft coupling in planar N=4 Supersymmetric Yang-Mills Theory (SYM), we compute the vacuum expectation value of a wavy-latitude and of a loop composed of two longitudes. We evaluate the resulting integrals numerically and find that the results are consistent with the zero-instant on sector calculation of Wilson loops in 2-d Yang-Mills on S-2 performed by Bassetto and Griguolo.We also consider the connected correlator of two distinct latitudes to third order in the 't Hooft coupling in planar N = 4 SYM. We compare the result in the limit where the latitudes become coincident to a perturbative calculation in 2-d Yang-Mills on S-2 using a light-cone Wu-Mandelstam-Leibbrandt prescription. The two calculations produce differing results.