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Discrete BFKL approach for photon–photon interactions at high energies

High and Medium Energy Group, Instituto de Física e Matemática, Universidade Federal de Pelotas, Pelotas, RS, 96010-900, Brazil

E-mail Address: barros@ufpel.edu.br

Corresponding author.

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Cesar E. Krumreich

High and Medium Energy Group, Instituto de Física e Matemática, Universidade Federal de Pelotas, Pelotas, RS, 96010-900, Brazil

E-mail Address: cesarkrumreich@hotmail.com

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Werner K. Sauter

High and Medium Energy Group, Instituto de Física e Matemática, Universidade Federal de Pelotas, Pelotas, RS, 96010-900, Brazil

E-mail Address: werner.sauter@ufpel.edu.br

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https://doi.org/10.1142/S0217751X20500475Cited by:0 (Source: Crossref)

Abstract

A phenomenological study of the two-photon reaction within the discrete BFKL approach is performed. We estimate the BFKL amplitude in terms of a discrete set of eigenfunctions and use the HERA $F_{2}^{p}$ $F_{2}^{p}$ data to constrain the free parameters of the model. As a consequence, we derive a parameter free prediction of the energy dependence of the total $γ γ$ $γ γ$ cross-section and the Bjorken- $x$ $x$ dependence of the photon structure function. We demonstrate that the LEP data is quite well described by the discrete BFKL approach and that experimental data from the future $e^{+} e^{-}$ $e^{+} e^{-}$ colliders can be useful to constrain the description of the QCD dynamics at high energies.

Keywords:

PACS: 12.38.Aw, 12.38.Bx, 13.60.Hb

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