Abstract
The S ePaC and BC methods are used in the fractal analysis of mixed events containing incomplete fractals. The reconstruction of the event distribution by the dimension DF is studied. The procedures of analyzing incomplete fractals and correcting the determination of DF of combined fractals by the SePaC method are proposed. We find that the S ePaC method fully reconstructs incomplete fractals and suppresses background, the separation of the incomplete fractals and the background by the BC method depends on the basis of the formation of the fractal, and the distribution of events by the value of DF is more accurately reconstructed with the S ePaC method in comparison with the BC method.
Highlights
The interaction of particles at high energies is a complex process
The hard interactions of these constituents are described in the framework of perturbative Quantum Chromodynamics (QCD)
In accordance with the momentum conservation law, the secondary partons carry the momentum fractions of initial parton in direction defined by an opening angle for each secondary parton
Summary
The interaction of particles at high energies is a complex process It includes initial and final state interactions of constituents, processes of hard scattering and hadronization. Let us briefly describe the mechanism of the final-state parton shower used in the PYTHIA Monte Carlo generator [1]. It assumed that the collision of hadrons or nuclei can be described in terms of quarks and gluons. It is assumed that the secondary parton opening angles are ordered and the branching process has a fractal structure. We assume that the hadronization process preserves the fractal structure of a shower. The dimensions DF and Db are equal to each other for a fractal with an independent partition and different for dependent and combined fractals
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
