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Abstract
In the present paper we consider the so-called effective cross section, a quantity which encodes the experimental knowledge on double parton scattering in hadronic collisions that has been accomulated so far. We show that the effective cross section, under some assumptions close to those adopted in its experimental extractions, can be used to obtain a range of mean transverse distance between an interacting parton pair in double parton scattering. Therefore we have proved that the effective cross section offers a way to access information on the hadronic structure.
Highlights
A proper description of the event structure in hadronic collisions requires the inclusion of so-called multiple parton interactions (MPI), which affect both the multiplicity and topology of the hadronic final state [1,2]
We show that the effective cross section, under some assumptions close to those adopted in its experimental extractions, can be used to obtain a range of mean transverse distance between an interacting parton pair in double parton scattering
The large hadron collider operation renewed the interest in MPI given the continuous demand for an increasingly detailed description of the hadronic final state, which is crucial in many new physics searches
Summary
A proper description of the event structure in hadronic collisions requires the inclusion of so-called multiple parton interactions (MPI), which affect both the multiplicity and topology of the hadronic final state [1,2]. The simplest MPI process is double parton scattering (DPS) In such a case, a large momentum transfer is involved in both scatterings and perturbative techniques can be applied to calculate the corresponding cross section. A large momentum transfer is involved in both scatterings and perturbative techniques can be applied to calculate the corresponding cross section The latter depends on a two-body nonperturbative quantity, the so-called double parton distribution functions (dPDFs). Double PDFs are not calculable from first principles, a feature shared with ordinary PDFs and other nonperturbative quantities in QCD Due to their dependence upon the partonic interdistance [4], they contain information on the hadronic structure complementary to those obtained from one-body distributions such as generalized parton distribution functions (GPDs) and transverse
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