Multiple Parton Interactions in Hadron Collisions and Diffraction

Abstract

Hadrons are composite objects made of quarks and gluons, and during a collision one can have several elementary interactions between the constituents. These elementary interactions, using an appropriate theoretical framework, can be related to the total and elastic cross sections. At high c.m. energy it also becomes possible to identify experimentally a high pt subset of the parton interactions and to study their multiplicity distribution. Predictions of the multiple interactions rates are difficult because in principle one needs to have a knowledge of the correlated Parton Distribution Functions that describe the probability to find simultaneously different partons in different elements of phase space. In this work we address this question and suggest a method to describe effectively the fluctuations in the instantaneous configuration of a colliding hadron. This problem is intimately related to the origin of the inelastic diffractive processes. We present a new method to include the diffractive cross section in an eikonal formalism that is equivalent to a multi-channel eikonal. We compare with data and present an extrapolation to higher energy.

34 pages, 9 figures

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• Total and inelastic cross-sections at LHC at CM energy of 7 TeV and beyond
• Checks of asymptotia in pp elastic scattering at LHC
• Non-perturbative QCD effects in forward scattering at LHC
• Modeling pion and proton total cross-sections at LHC
• Diffractive excitation in $pp$ and $pA$ collisions at high energies
• A model of diffractive excitation in $pp$ collisions at high energies
• Multivariate Techniques for Identifying Diffractive Interactions at the LHC
• Inelastic cross sections, overlap functions and Cq moments from ISR to LHC energies in proton interactions
• p-air production cross-section and uncorrelated mini-jets processes in pp-scattering
• Soft Pomeron in light of the LHC correlated data