Speaker
Description
We present a new derivation of the non-linear evolution equations for the cross sections of productions of $n$-cut Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomerons in the final states ($\sigma_n$) in high energy DIS on a nucleus, resumming all multiple rescatterings and all leading logarithms of energy. These equations coincide with the equations that have been derived using the Abramovsky, Gribov and Kancheli (AGK) cutting rules but based on the dipole approach to high energy QCD. In the second part of the talk we discuss approximate analytical solutions for the equations in the small-$n$ and large-$n$ approaches. Using the analytical solution for $\sigma_n$ at large $n$ we calculate the multiplicity distribution of produced gluons, their probability to be observed and the entropy of the produced gluons at large values of the geometric scaling variable $z=\ln(r^2 Q_s^2)$.