Abstract
The high gluon density in the initial state of hadronic collisions at LHC energies implies that the probability of multiple parton interactions within one proton-proton collision increases. In particular, this motivates one to investigate the importance of Double Parton Scattering (DPS) processes at the LHC. In a DPS process one can have, from one proton-proton collision, two interacting partons coming from each colliding hadron. In this context, the relation between the double parton distribution functions (dPDF) and the usual parton distribution functions (PDF) is discussed, and some formulae for the DPS cross section are compared. Our results focus on the production of different final states related to two heavy quark-antiquark pairs. Those include [Formula: see text], which is called the golden channel of DPS, [Formula: see text] and [Formula: see text].
Highlights
Multiple particle interactions in a single proton-proton collisions are studied for quite some time, they became relevant only with the advent of the LHC, because of the high parton luminosity of the high energy proton beams in initial state
Where Fij and Fkl are the double parton distribution functions, with two partons coming from each proton, and σik and σjl are the partonic cross sections
An anomalous contribution is represented in the last graph (last term in Eq (6)), where a gluon-gluon pair is originated from a single gluon, in this last term one has a connection between the gluon parton distribution functions (PDF) and the gluon-gluon double parton distribution functions (dPDF)
Summary
Multiple particle interactions in a single proton-proton collisions are studied for quite some time, they became relevant only with the advent of the LHC, because of the high parton luminosity of the high energy proton beams in initial state. Most processes are studied in the framework of the Single Parton Scattering processes (SPS), where one has the usual QCD factorization formula written for. This is an Open Access article published by World Scientific Publishing Company. In a Double Parton Scattering (DPS) process one can have, from one protonproton collision, two interacting partons coming from each colliding hadron, as z⊥. Where Fij and Fkl are the double parton distribution functions (dPDF), with two partons coming from each proton, and σik and σjl are the partonic cross sections. The gluon-gluon double distribution in one single proton can be originated from a gluon-gluon, a quark-gluon or an antiquark-gluon pair. An anomalous contribution is represented in the last graph (last term in Eq (6)), where a gluon-gluon pair is originated from a single gluon, in this last term one has a connection between the gluon PDF and the gluon-gluon dPDF
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