Elements of a theory for multiparton interactions in QCD
Markus Diehl, Daniel Ostermeier, Andreas Schafer

TL;DR
This paper develops a comprehensive theoretical framework for understanding multiple hard interactions in hadron collisions within QCD, focusing on their structure, factorization, and potential constraints from lattice QCD.
Contribution
It introduces a detailed analysis of the space-time, spin, and color structure of multiparton interactions, and connects these with lattice calculations and generalized parton distributions.
Findings
Classification of contributions by power behavior
Analysis of Sudakov logarithms in double scattering
Constraints on multiparton distributions from lattice QCD
Abstract
We perform a detailed investigation of multiple hard interactions in hadron-hadron collisions. We discuss the space-time, spin and color structure of multiple interactions, classify different contributions according to their power behavior and provide several elements required for establishing all-order factorization. This also allows us to analyze the structure of Sudakov logarithms in double hard scattering. We show how multiparton distributions can be constrained by lattice calculations, by connecting them with generalized parton distributions, and by calculating their behavior at large transverse parton momenta.
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