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Abstract In the kinematic region where three particles i, j, k are collinear, the multi-parton scattering amplitudes factorise into a product of a triple collinear splitting function and a multi-parton scattering amplitude with two fewer particles. These triple collinear splitting functions contain both iterated single unresolved contributions, and genuine double unresolved contributions. We make this explicit by rewriting the known triple collinear splitting functions in terms of products of two-particle splitting functions, and a remainder that is explicitly finite when any two of {i, j, k} are collinear. We analyse all of the single unresolved singularities present in the remainder.

We present the QCD models based on the hadronization of final states of e+e- annihilations, in 60 GeV centre of mass energy in the AMY detector at the KEK collider TRISTAN. To achieve this, we first find the jet axis by using the momentum tensor and diagonilizing it for each event. The models under consideration are the Webber, the Matrix Elements and the Parton Shower. In most cases our results are consistent with the models. Our results are also consistent with those obtained from other experiments.