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arXiv · 2609.18102

Cat's cradle diagrams for substructure studies

Peter Skands
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Abstract

We propose Cat's Cradle diagrams as a framework to analyse the perturbative accuracy of gauge quantum field theories across different kinematic regions, interpolating between the power countings of fixed-order perturbation theory and soft-collinear resummation. We propose a simple intermediate counting aimed at quantifying parametric accuracy for resolved jet substructure, nested so that $N^nLO \subset N^nLJ \subset N^{n+1}LL$. We show that the resolved jet-substructure power counting, $N^nLJ$, emphasises contributions that are important for resolved substructure but which are lumped together with less dominant terms in both of the two other countings. It may therefore furnish a complementary quantification of relative parametric accuracy in a kinematic region "midway" between the hard (fixed-order) and soft-collinear (resummation) regimes. We discuss practical applications to parton showers, in the context of a hard process with a characteristic hard scale of order 200 GeV.

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Peter Skands. 2026-09-16. Cat's cradle diagrams for substructure studies. https://arxiv.org/abs/2609.18102

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