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Recent work in inter-jet energy flow has identified a class of leadinglogarithms previously not considered in the literature. These so-callednon-global logarithms have been shown to have significant numerical impact ongaps-between-jets calculations at the energies of current particle colliders.Here we calculate, at fixed order and to all orders, the effect of applyingclustering to the gluonic final state responsible for these logarithms for atrivial colour flow 2 jet system. Such a clustering algorithm has already beenused for experimental measurements at HERA. We find that the impact of thenon-global logarithms is reduced, but not removed, when clustering is demanded,a result which is of considerable interest for energy flow observablecalculations.Comment: 13 pages, 4 figure

Non-global logarithms in inter-jet energy flow with kt clustering requirement