Abstract
Whereas most LHC physics is concerned with very rare or exotic
processes such as the production of Higgs bosons or new particles beyond the
Standard Model, our understanding of what 'usually' happens in high energy
proton-proton collisions is surprisingly poor. This talk will review LHC
measurements of some of the most commonly occurring processes, which lead to
final states with intact protons. These include elastic scattering (pp->pp),
diffractive dissociation (pp->pX) and central exclusive production
(pp->pXp). The talk will also cover prospects for future studies with tagged
protons at unprecedented high luminosities.