On the anomalous dimensions of the multiple pomeron exchanges

Understand

High energy hard scattering in large $N_{c}$ limit can be described by the QCD dipole model.

• In this paper, single, double and triple BFKL pomeron exchange amplitudes are computed explicitly within the dipole model.
• Based on the calculation, the general formula $\gamma^{(k)*}_{0}=\chi^{-1}(k\chi({1/2}))$ which governs the anomalous dimension of $1\Rightarrow k$ amplitude is conjectured.
• As far as the unitarity problem is concerned, we find that the anomalous dimension $\gamma$ varies from graph to graph due to the DGLAP evolution.