Gaps between Jets: Matching two Approaches

We calculate the parton level cross section for the production of two jets that are far apart in rapidity, subject to a limitation on the total transverse momentum Q_0 in the interjet region. We specifically address the question of how to combine the approach which sums all leading logarithms in Q/Q_0 (where Q is the jet transverse momentum) with the BFKL approach, in which leading logarithms of the scattering energy are summed. Using an "all orders" matching, we obtain results for the cross section which correctly reproduce the two approaches in the appropriate limits.