Comments on $$AdS_2$$ solutions from M2-branes on complex curves and the backreacted Kähler geometry

We address the geometrical structure of the ‘skewed’ correlator of two space-like separated (almost) oppositely directed Wilson lines. Similar objects occur in the analysis of the transverse-momentum broadening probability function, the first moment of which is associated with the jet quenching parameter. We start from the Euclidean space formulation and then transform the result to the Minkowski light-cone geometry, arguing that this procedure is consistent in the leading order of the perturbative expansion. We discuss as well the issues of the UV, rapidity and IR singularities, and the possible use of the proposed approach in lattice simulations.