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Most recombination-style jet algorithms cluster soft gluons in a complex way.This leads to correlations in the soft gluon phase space and introduceslogarithmic corrections to jet cross sections. The leading Abelian clusteringlogarithms occur at least at next-to leading logarithm (NLL) in the exponent ofthe distribution, and we show that new clustering effects contributing at NLLlikely arise at each order. Therefore we find that it is unlikely thatclustering logs can be resummed to NLL. Clustering logarithms make the anti-kTalgorithm theoretically preferred, for which they are power suppressed. Theycan arise in Abelian and non-Abelian terms, and we calculate the Abelianclustering logarithms at two loops for the jet mass distribution using theCambridge/Aachen and kT algorithms, including jet radius dependence, whichextends previous results. We find that previously identified logarithms fromclustering effects can be naturally thought of as a class of non-globallogarithms (NGLs), which have traditionally been tied to non-Abeliancorrelations in soft gluon emission.

Abelian Non-Global Logarithms from Soft Gluon Clustering