Cat's cradle diagrams for substructure studies
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 NnLO ⊂ NnLJ ⊂ Nn+1LL. We show that the resolved jet-substructure power counting, NnLJ, 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.
Related
- Magnetic Phase Diagrams and Spin Hamiltonian of Monoclinic α-RuCl3 from Angle-Dependent Torque Studies
- Data Driven Modeling of a Magnetic Newton's Cradle using the Optimization of a Discrete Loss
- Close Pulsar Pairs See Dark Matter Substructure through the Gravitational-Wave Background
- Jet quenching and its substructure dependence due to color decoherence
- Probing Dark Matter Substructure with Wave-Optics Distortions of Strongly Lensed LISA Gravitational Waves
BibTeX
@misc{skands2026cats,
title = {{Cat's cradle diagrams for substructure studies}},
author = {Peter Skands},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18102},
eprint = {2609.18102},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18102},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Cat's cradle diagrams for substructure studies
AU - Peter Skands
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18102
UR - https://arxiv.org/abs/2609.18102
AB - 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 ⊂ N^nLJ ⊂ N^n+1LL. 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.
ER -