Double parton scattering, diffraction and effective cross section
Daniele Treleani
TL;DR
The paper addresses why double parton scattering exhibits a small effective cross section and connects this to hadronic diffraction. It uses a multi-channel eikonal approach to couple multiparton interactions with diffractive fluctuations, deriving inclusive and exclusive hard cross sections as moments of the parton-collision distribution and showing how a two-channel model can reproduce soft, elastic, and diffractive data. The key finding is that transverse-size fluctuations of the hadron, encoded in diffractive components, enhance dispersion in the number of parton collisions and yield $σ_{eff}$ values (~10–12 mb) compatible with experimental hints. This provides a diffraction-informed, non-perturbative framework for interpreting multiparton interactions in high-energy pp collisions and guiding analyses of LHC data.
Abstract
The rates of multiparton collisions in high energy hadronic interactions provide information on the typical transverse distances between partons in the hadron structure. The different configurations of the hadron in transverse space are, on the other hand, at the origin of hadron diffraction. The relation between the two phenomena is exploted in an eikonal model of hadronic interactions.