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We analyse the real part of one-loop five-parton amplitudes in thenext-to-multi-Regge kinematic (NMRK) limit, to leading power, and to finiteorder in the dimensional regularisation parameter. To leading logarithmic (LL)accuracy, it is known that five-parton amplitudes in this limit are given toall-orders by a single factorised expression, in which the pair of partonswhich are not well-separated in rapidity are described by a two-parton emissionvertex. In this study, we investigate the one-loop amplitudes atnext-to-leading logarithmic (NLL) accuracy, and find that is has a more complexstructure. In particular, it is found that the purely gluonic amplitudes arecompatible with an analogous factorisation of individual colour structures.From the one-loop amplitudes we extract one-loop two-parton emission vertices,which are functions of a subset of the momenta of the amplitude. In themulti-Regge kinematic (MRK) limit, the vertices themselves factorise into theknown one-loop single-parton emission vertices and Lipatov vertex, withrapidity dependence governed by the one-loop gluon Regge trajectory, asrequired by compatibility with the known MRK limit of amplitudes. The one-looptwo-parton emission vertices are necessary ingredients for the construction ofthe next-to-next-to leading order (NNLO) jet impact factors in the BFKLframework.

One-loop five-parton amplitudes in the NMRK limit