CASCADE is a full hadron level Monte Carlo event generator for ep, γp and pp and pp processes, which uses the CCFM evolution equation for the initial state cascade in a backward evolution approach supplemented with off-shell matrix elements for the hard scattering. A detailed program description is given, with emphasis on parameters the user wants to change and common block variables which completely specify the generated events.

Inclusive beauty quark production in photon-photon collisions at CERN LEP2 is considered in the framework of the k T -factorization approach. Both direct and resolved photon contributions are taken into account. The unintegrated gluon distributions in a photon are either obtained from the full CCFM evolution equation or from the Kimber-Martin-Ryskin prescription. The predicted beauty cross section reasonably agrees with the recent experimental data taken by the ALEPH collaboration. We argue that theoretical and experimental studies of the azimuthal correlations in heavy quark production at high energies can serve as a crucial probe of the unintegrated gluon densities.1 A more exotic solution to this problem was proposed in [7].

We present calculations of the prompt photon photoproduction at HERA collider in the k T -factorization approach. Both direct and resolved contributions are taken into account. The conservative error analisys is performed. The unintegrated parton densities in a proton and in a photon are determined using the Kimber-Martin-Ryskin prescription. We investigate both inclusive and associated with jet prompt photon photoproduction rates. In particular, we study the angular correlations between produced photon and hadronic jet in the transverse momentum plane which can provide a unique information about non-collinear evolution dynamics. We compare our theoretical predictions with recent experimental data taken by the H1 and ZEUS collaborations.

We find out the connection between the unintegrated gluon distribution at low intrinsic transverse momenta and the inclusive spectrum of the hadrons produced in pp collision at LHC energies in the mid-rapidity region and low hadron transverse momenta. The parameters of this distribution are found from the best description of the LHC data. Its application to the analysis of ep deep inelastic scattering allows us to obtain the results which describe reasonably well the H1 and ZEUS data on the structure functions at low x. A connection between the soft processes at LHC and small x physics at HERA has been found. PACS number(s): 12.38.-t, 13.85.-t

We calculate the perturbative parts of the structure functions F c 2 and F c L for a gluon target having nonzero transverse momentum squared at order α s . The results of the double convolution (with respect to the Bjorken variable x B and the transverse momentum ) of the perturbative part and the unintegrated gluon densities are compared with HERA experimental data for F c 2 . The contribution from F c L structure function ranges 10 ÷ 30% of that of F c 2 at the kinematical range of HERA experiments.