Total and diffractive cross sections in enhanced Pomeron scheme

Abstract

For the first time, a systematic analysis of the high energy behavior of total and diffractive proton-proton cross sections is performed within the Reggeon field theory framework, based on the resummation of all significant contributions of enhanced Pomeron diagrams to all orders with respect to the triple-Pomeron coupling. The importance of different classes of enhanced graphs is investigated, and it is demonstrated that absorptive corrections due to ``net''-like enhanced diagrams and due to Pomeron ``loops'' are both significant and none of those classes can be neglected at high energies. A comparison with other approaches based on partial resummations of enhanced diagrams is performed. In particular, important differences are found concerning the predicted high energy behavior of total and single high mass diffraction proton-proton cross sections, with our values of ${\ensuremath{\sigma}}_{pp}^{\mathrm{tot}}$ at $\sqrt{s}=14\text{ }\text{ }\mathrm{TeV}$ being some 25%--40% higher and with the energy rise of ${\ensuremath{\sigma}}_{\mathrm{HM}}^{\mathrm{SD}}$ saturating well below the LHC energy. The main causes for those differences are analyzed and explained.