Monte Carlo Solution to the Balitsky-Fadin-Kuraev-Lipatov Equation for Resummation in Perturbative QCD

A simple solution to the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation is obtained as a series in the number of real gluons emitted with transverse momentum greater than some small cutoff {μ}. This solution reveals physics inside the BFKL ladder which is hidden in the standard inclusive solution, and lends itself to a straightforward Monte Carlo implementation. With this approach one can explore new useful physical observables, which are shown to be independent of the cutoff {μ}. In addition, this approach allows the imposition of kinematic constraints (such as energy conservation) which are important at finite energies. The distribution of ΣE_⊥ of particles in a central rapidity bin between two widely spaced jets is presented as an example.