Exclusive and Diffractive Production of Lepton Pairs in pp Collisions at High Energies

We discuss exclusive production of lepton pairs via photon-photon fusion and photon-pomeron subprocesses. Predictions for this reactions are given using the kt-factorisation formalism. We also analyse inclusive diffractive dilepton production in pp collisions using Ingelman and Schlein approach with pomeron flux factors and quark/antiquark distributions in the pomeron which were taken from the H1 Collaboration analysis of diffractive structure function and diffractive dijets at HERA. We calculated cross-section for single and central diffractive production of dileptons. Cross-sections for exclusive and inclusive diffractive processes are compared. (authors)