Summing Pomeron loops in the dipole approach

Details Summing Pomeron loops in the dipole approach Summing Pomeron loops in the dipole approach

2007-06-20

arxiv.org/abs/0706.2944v3

Nucl.Phys.A806:245-286,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

31 pages, 12 figures in eps files

Scientific paper

10.1016/j.nuclphysa.2008.03.007

In this paper we argue that in the kinematic range given by $ 1 \ll \ln(1/\as^2) \ll \as Y \ll \frac{1}{\as}$, we can reduce the Pomeron calculus to the exchange of non-interacting Pomerons with the renormalized amplitude of their interaction with the target. Therefore, the summation of the Pomeron loops can be performed using the improved Mueller, Patel, Salam and Iancu approximation and this leads to the geometrical scaling solution. This solution is found for the simplified BFKL kernel. We reproduce the findings of Hatta and Mueller that there are overlapping singularities. We suggest a way of dealing with these singularities.

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