Fenomenologia de processos em altas energias utilizando a equação Balitsky-Fadin-Kuraev-Lipatov com polos discretos

Abstract

In the present day, the theoretical description of the behavior of the cross section in the high energy regime is still a matter of questioning. One proposal that is valid is that the small growth of the cross section, in this energy regime, is associated with the exchange of an object with the vacuum quantum numbers, called Pomeron. Phenomenologically, via theory Regge, it was possible to obtain some of its properties. In QCD we find by means of perturbative calculations that the Pomeron is described through interactions between gluons in the form of a “ladder”. The evolution of the gluons in this “ladder” is described by the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. In this work, we present some approaches regarding the solution of the BFKL equation with fixed and dynamic coupling constant. We will use the discrete eigenfunction method that return us as a solution in the complex plane of angular momentum an infinite sequence of poles. A proposed application is to fit the theoretical curve to experimental data of the F2 structure function to investigate the infrared properties of BFKL equation. Once the free parameters are fixed, we use the result of our adjustment for charm quark production, production of massive vector mesons and the production of two photons at high energies. All of these processes are described for the first time with this formalism in Leading Order (LO).