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Some estimates for the transverse Single Spin Asymmetry, A_N, in theinclusive processes l p(transv. pol.) --> h X, given in a previous paper, areexpanded and compared with new experimental data. The predictions are based onthe Sivers distributions and the Collins fragmentation functions which fit theazimuthal asymmetries measured in Semi-Inclusive Deep Inelastic Scattering(SIDIS) processes (l p(transv. pol.) --> l' h X). The factorisation in terms ofTransverse Momentum Dependent distribution and fragmentation functions (TMDfactorisation) -- i.e., the theoretical framework in which SIDIS azimuthalasymmetries are analysed -- is assumed to hold also for the inclusive process lp --> h X at large P_T. The values of A_N thus obtained agree in sign and shapewith the data. Some predictions are given for future experiments.

Single Spin Asymmetries in l p(transv. pol.) --> h X processes and TMD factorisation