Fall and rise of the gluon splitting function

Abstract

This talk reviews some recent results on the NLL resummed small-x gluon splitting function, as determined including renormalisation-group improvements. It also discusses the observation that the LO, NLO, NNLO, etc. hierarchy for the gluon splitting function breaks down not when (alphas log 1/x) is of order one but rather for (alphas log2 1/x) of order one.

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