Double parton correlations versus factorized distributions

Using the generalized Lipatov-Altarelli-Parisi-Dokshitzer equations for the two-parton distribution functions we show numerically that the dynamical correlations contribute to these functions quite a lot in comparison with the factorized components. At the scale of CDF hard process (∼5 GeV) this contribution to the double gluon-gluon distribution is nearly 10% and increases right up to 30% at the LHC scale (∼100 GeV) for the longitudinal momentum fractions x≤0.1 accessible to these measurements. For the finite longitudinal momentum fractions x∼0.2-0.4 the correlations are large right up to 90% in accordance with the predicted QCD asymptotic behaviour