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Various methods of relating (naively) twist-2 Sivers function and twist-3 quark–gluon correlators are reviewed. The applications of Sivers function at large transverse momenta provides a justification (up to colour factors) of practical methods of calculations used earlier by Torino group. These factors correspond to colour correlations between partons inside hadrons and the ones participating in hard processes. The particular case of such correlations is represented by sign change between SIDIS and Drell–Yan processes.