On sum rules for double and triple parton distribution functions and Pythia's model of multiple parton interactions
arXiv:2208.08197 · doi:10.1007/JHEP02(2023)090
Abstract
Multi-parton distributions in a proton, the nonperturbative quantities needed to make predictions for multiple scattering rates, are poorly constrained from theory and data and must be modelled. All Monte Carlo event generators that simulate multiple parton interactions (e.g. Pythia) contain such a model of multi-parton PDFs. One important theoretical constraint for the case of double parton distributions is provided by the so-called number and momentum sum rules. In this paper we investigate to what extent the double parton distribution functions used in the Pythia event generator obey these sum rules. We also derive the number and momentum sum rules for the triple parton distribution functions and discuss how one can use the Pythia code to construct triple parton distribution functions which approximately satisfy these sum rules.
arXiv comment56 pages, 15 figures
References in corpus (70)
- PYTHIA 6.4 Physics and Manual
- PYTHIA 6.2 Physics and Manual
- A Brief Introduction to PYTHIA 8.1
- Parton distributions for the LHC
- Event generation with SHERPA 1.1
- LHAPDF6: parton density access in the LHC precision era
- Herwig 7.0 / Herwig++ 3.0 Release Note
- JaxoDraw: A graphical user interface for drawing Feynman diagrams
- Multiple Interactions and the Structure of Beam Remnants
- Double Parton Distributions Incorporating Perturbative QCD Evolution and Momentum and Quark Number Sum Rules
- pQCD Physics of multiparton interactions
- Theoretical considerations on multiparton interactions in QCD
- The four jet production at LHC and Tevatron in QCD
- Simulation of multiple partonic interactions in Herwig++
- Perturbative QCD correlations in multi-parton collisions
- Same-sign W pair production as a probe of double parton scattering at the LHC
- Pair production of J/psi as a probe of double parton scattering at LHCb
- A fresh look at double parton scattering
- Double Parton Scattering Singularity in One-Loop Integrals
- Double parton distributions in the leading logarithm approximation of perturbative QCD
- Dijet production as a centrality trigger for p-p collisions at CERN LHC
- Proton Structure in Transverse Space and the Effective Cross Section
- Cancellation of Glauber gluon exchange in the double Drell-Yan process
- Single Perturbative Splitting Diagrams in Double Parton Scattering
- What is Double Parton Scattering?
- Double parton scattering in double logarithm approximation of perturbative QCD
- Multiparton Interactions with an x-dependent Proton Size
- Double parton correlations versus factorized distributions
- Multiparton Interactions and Rescattering
- Double Parton Correlations in the Bag Model
- Double hard scattering without double counting
- Triple parton scatterings in high-energy proton-proton collisions
- Double parton correlations and constituent quark models: a Light Front approach to the valence sector
- Light-Front QCD: Role of Longitudinal Boundary Integrals
- Multiple Parton Interactions in Z+4j, W\pm W\pm +0/2j and W+ W- +2j production at the LHC
- Minijets and the Two-Body Parton Correlation
- Disentangling correlations in Multiple Parton Interactions
- Correlations in double parton distributions at small x
- Parton correlations in same-sign pair production via double parton scattering at the LHC
- Deep Inelastic Structure Functions in Light-Front QCD: Radiative Corrections
- Testing the Scale Dependence of the Scale Factor in Double Dijet Production at the LHC
- Angular correlations in the double Drell-Yan process
- Soft and diffractive scattering with the cluster model in Herwig
- Prospects for observation of double parton scattering with four-muon final states at LHCb
- Relativistic effects in model calculations of double parton distribution function
- Hadronic structure from double parton scattering
- Proof of sum rules for double parton distributions in QCD
- Multiple Hard Partonic Collisions with Correlations in Proton-Proton Scattering
- A second update on double parton distributions
- Multi-parton correlations and "exclusive" cross sections
- The effective cross section for double parton scattering within a holographic AdS/QCD approach
- Double parton distribution of valence quarks in the pion in chiral quark models
- Double parton distributions in the pion in the Nambu and Jona-Lasinio model
- Nonperturbative Description of Deep Inelastic Structure Functions in Light-Front QCD
- ChiliPDF: Chebyshev Interpolation for Parton Distributions
- Two-current correlations in the pion on the lattice
- A Monte-Carlo Simulation of Double Parton Scattering
- Double parton scattering and the proton transverse structure at the LHC
- Factorisation of soft gluons in multiparton scattering
- Sum rule improved double parton distributions in position space
- Incoherence and Multiple Parton Interactions
- Collisions of protons with light nuclei shed new light on nucleon structure
- Multiple Parton Interactions in Z+jets production at the LHC. A comparison of factorized and non--factorized double parton distribution functions
- Can the triple-parton scattering be observed in open charm meson production at the LHC?
- Combining single and double parton scatterings in a parton shower
- Double parton distributions in the pion from lattice QCD
- Double parton distributions in the nucleon from lattice QCD
- Double parton correlations in mesons within AdS/QCD soft-wall models: a first comparison with lattice data
- Double parton scattering in four-jet production in proton-proton collisions at the LHC
- Triple parton scattering in collinear approximation of perturbative QCD