BFKL equation in the next-to-leading order: solution at large impact parameters

Carlos Contreras, Eugene Levin*, Rodrigo Meneses

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this paper, we show (1) that the NLO corrections do not change the power-like decrease of the scattering amplitude at large impact parameter (b2>r2exp(2α¯Sη(1+4α¯S)), where r denotes the size of scattering dipole and η= ln (1 / xBj) for DIS), and, therefore, they do not resolve the inconsistency with unitarity; and (2) they lead to an oscillating behaviour of the scattering amplitude at large b, in direct contradiction with the unitarity constraints. However, from the more practical point of view, the NLO estimates give a faster decrease of the scattering amplitude as a function of b, and could be very useful for description of the experimental data. It turns out, that in a limited range of b, the NLO corrections generates the fast decrease of the scattering amplitude with b, which can be parameterized as N∝exp(-μb) with μ∝1/r in accord with the numerical estimates in Cepila et al. (Phys Rev D 99(5):051502, https://doi.org/10.1103/PhysRevD.99.051502, arXiv:1812.02548 [hep-ph], 2019).

Original languageEnglish
Article number842
JournalEuropean Physical Journal C
Volume79
Issue number10
DOIs
StatePublished - 1 Oct 2019

Funding

FundersFunder number
Proyecto BasalFB 0821
Fondo Nacional de Desarrollo Científico y Tecnológico1191434, 1180118
Tel Aviv University
Fondo Nacional de Desarrollo Científico, Tecnológico y de Innovación Tecnológica

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