Dipole-based description of the $\text{pp}$ interaction

We consider inelastic proton–proton interactions at high energies in transverse spatial coordinates. Colliding hadrons are represented as ensembles of color dipoles. We use prescriptions of the Müller dipole cascade model for the elementary interaction probability. Multiparton interactions are taken into account in the framework of the eikonal approach. We consider two variants of the model, namely, with and without confinement taken into account. We obtain the asymptotic form of the collision profile function for large impact parameters. We use the considered approach to find the slope of the diffraction cone in elastic pp scattering at high energies and compare our results with other models describing profile functions and with the experimental data.