Factorisation of soft gluons in multiparton scattering

Abstract

We show that soft gluons exchanged between the two colliding protons in multiparton scattering processes can be decoupled, such that their effects are described by the vacuum expectation values of Wilson lines. Our argument relies on nonabelian Ward identities and generalises the proof of factorisation for single Drell-Yan production given by Collins, Soper and Sterman.

arXiv comment33 pages, 13 figures. v2: added references and clarifications in the text

References in corpus (13)

• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Hard Scattering Factorization from Effective Field Theory
• A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
• The Rapidity Renormalization Group
• Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order
• An Effective Field Theory for Forward Scattering and Factorization Violation
• Cancellation of Glauber gluon exchange in the double Drell-Yan process
• Double hard scattering without double counting
• Transverse momentum in double parton scattering: factorisation, evolution and matching
• Soft factors for double parton scattering at NNLO
• Colour unwound - disentangling colours for azimuthal asymmetries in Drell-Yan scattering

Cited by in corpus (14)

• Triple prompt $J/\psi$ hadroproduction as a hard probe of multiple-parton scatterings
• A Monte-Carlo Simulation of Double Parton Scattering
• Double parton scattering and the proton transverse structure at the LHC
• Sum rule improved double parton distributions in position space
• Probing impact-parameter dependent nuclear parton densities from double parton scatterings in heavy-ion collisions
• Combining single and double parton scatterings in a parton shower
• Two-loop splitting in double parton distributions: the colour non-singlet case
• Momentum sum rule and factorization of double parton distributions
• Confronting same-sign W-boson production with parton correlations
• Evidence in favor of Single Parton Scattering mechanism in ${\rm Y}$ and $D$ associated production at the LHC
• Quark mass effects in double parton distributions
• Four-jet double parton scattering production in proton-nucleus collisions within the PYTHIA8 framework
• On sum rules for double and triple parton distribution functions and Pythia's model of multiple parton interactions
• Numerical Study of MRW-Type Unintegrated Double Parton Distribution Functions from Non-Factorized DPDFs