The proton structure via double parton scattering

Matteo Rinaldi

doi:10.1088/1742-6596/1643/1/012193

Abstract

In this talk we present the results of the investigation on the so called double parton distribution functions (dPDFs), accessible quantities in high energy proton-proton and proton nucleus collisions, in double parton scattering processes (DPS). These new and almost unknown distributions encode information on how partons inside a proton are correlated among each other and represent a new tool to explore the three dimensional partonic structure of hadrons. In the present contribution, results of the calculations of dPFDs are presented also including phenomenological investigations on the impact of double correlations in experimental observables, showing how the latter could be observed in the next LHC run. In addition we discuss how present information on experimental observables could be related to the transverse proton structure.

Highlights

Thanks to the high luminosity reached in collider experiments, such as at the LHC, the investigation on multiple parton interactions (MPI) became relevant in the study of hadronhadron collisions
Double parton distribution functions (PDFs) are first of all calculated at the low hadronic scale of the model, μ0, in order to compare the outcome with future data taken at high momentum transfer, Q > μ0, it is necessary to perform a perturbative QCD evolution by using double parton distribution functions (dPDFs) evolution equations, see Refs. [16, 17, 18]
In Ref. [21] we considered a direct evaluation of σeff in terms of PDFs and dPDFs calculated within the same constituent quark model (CQM)

Summary

Introduction

Thanks to the high luminosity reached in collider experiments, such as at the LHC, the investigation on multiple parton interactions (MPI) became relevant in the study of hadronhadron collisions. Double PDFs are first of all calculated at the low hadronic scale of the model, μ0, in order to compare the outcome with future data taken at high momentum transfer, Q > μ0, it is necessary to perform a perturbative QCD (pQCD) evolution by using dPDF evolution equations, see Refs. This step is fundamental to understand to what extent DPC survive at the kinematic conditions of experiments Thanks to this procedure, future data analyses of the DPS processes could be guided, in principle, by model calculations, see Ref. The results of the calculations σeff within CQM will be described in order to characterize “signals” of DPC

Constituent Quark Models Calculations of dPDFs

The calculation of the effective cross section

Conclusions