Homotopy approach for scattering amplitude for running QCD coupling

Carlos Contreras*, José Garrido*, Eugene Levin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we proposed the homotopy approach for solving the nonlinear Balitsky-Kovchegov evolution equation with running QCD coupling. The approach consists of two steps. First, is the analytic solution to the nonlinear evolution equation for the simplified, leading twist kernel. Second, is the iteration procedure that allow us to calculate corrections analytically or seminumerically. For the leading twist kernel it is shown that the first iteration leads to ≤1% accuracy. The ζ=-4Ncb0Yln(α¯S(1/Qs2(Y))/α¯S(r2)) (r is the dipole size, Qs is the saturation scale) and geometric scaling behavior of the scattering amplitude are discussed as well as the dependence on the value of the infrared cutoff.

Original languageEnglish
Article number096025
JournalPhysical Review D
Volume111
Issue number9
DOIs
StatePublished - 1 May 2025

Funding

FundersFunder number
Tel Aviv University
Universidad Técnica Federico Santa María
Beca de Doctorado043/2025
Fondo Nacional de Desarrollo Científico y Tecnológico1231062, 1231829, 029/2024
Yukawa Institute for Theoretical Physics, Kyoto UniversityYITP-T-24-02

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