Large $\mathbf{b}$ behaviour in the CGC/saturation approach: BFKL equation with pion loops

Abstract

In this paper we proposed a solution to the longstanding problem of the CGC/saturation approach: the power-like fall of the scattering amplitudes at large $b$. This decrease leads to the violation of the Froissart theorem and makes the approach theoretically inconsistent. We showed in the paper that sum of the pion loops results in the exponential fall of the scattering amplitude at large impact parameters and in the restoration of the Froissart theorem.

arXiv comment10pages, 6 figures in eps filers

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Cited by in corpus (7)

• Gribov-Zwanziger confinement, high energy evolution and large impact parameter behaviour of the scattering amplitude
• Large impact parameter behaviour in the CGC/saturation approach: a new non-linear equation
• BFKL equation in the next-to-leading order: solution at large impact parameters
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS
• Soft Pomeron in the Colour Glass Condensate approach
• High energy evolution for Gribov-Zwanziger confinement: solution to the equation