Summing Pomeron loops in the dipole approach

Understand

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.