High-energy elastic and diffractive cross sections

We present a 'global' description of the wide variety of high-energy elastic and diffractive data that are presently available, particularly from the LHC experiments. The model is based on only one pomeron pole, but it includes multi-pomeron interactions and, significantly, it includes the transverse momentum dependence of intermediate partons as a function of their rapidity, which provides the rapidity dependence of the multi-pomeron vertices. We give predictions for the diffractive observables at LHC energies.