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Abstract
Double parton distribution functions (dPDFs) represent a tool to explore the 3D partonic structure of the proton. They can be measured in high energy proton-proton and proton nucleus collisions and encode information on how partons inside a proton are correlated among each other. dPFDs are studied here in the valence region by means of a constituent quark model scenario within the relativistic Light Front approach, where two particle correlations are present without any additional prescription. Furthermore, a study of the QCD evolution at high energy scale, of the model results, has been completed in order to compare our predictions with future data analyses. In closing, results on the evaluation of the so called σeff, crucial ingredient for the description of double parton scattering, where dPDFs can be accessed, are presented and discussed.
Highlights
The observation of multiple parton interactions (MPI), occurring in high energy hadron-hadron collisions, will be an important goal of the experimental and theoretical analyses of the processes studied, e.g., at the LHC
The main goal of this first analysis was to establish the role of double parton correlations (DPCs) in Double parton distribution functions (dPDFs)
In order to compare our results with actual and future experimental studies, the perturbative QCD (pQCD) evolution of the calculated dPDFs has been deeply investigated as discussed in Refs. [11, 16] where, at very high energy scales, like the experimental ones, it was found that longitudinal correlations may survive at small values of xi
Summary
The observation of multiple parton interactions (MPI), occurring in high energy hadron-hadron collisions, will be an important goal of the experimental and theoretical analyses of the processes studied, e.g., at the LHC. [15] for details on the violation of the factorized ansatz due to model independent relativistic effects in the calculated dPDFs. as already pointed out, it is fundamental to realize to which extend DPCs survive at very high energy scales, where, due to the large population of partons, the role of DPCs could be less important than at the low scale of the used model. [25], the possible dependence of the latter quantity on the longitudinal momentum fraction carried by the interacting partons has been addressed Recent results on this topic will be here discussed, including new intriguing outcomes addressed in Refs. In Ref. [26], σeff has been calculated in a AdS/QCD framework, showing, here, a strong xi dependence of σeff in the valence region
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