Hypergraphs in LHC phenomenology — the next frontier of IRC-safe feature extraction

Partha Konar (Theoretical Physics Division, Physical Research Laboratory, Shree Pannalal Patel Marg, Ahmedabad, Gujarat, 380009, India) ; Vishal Ngairangbam (Theoretical Physics Division, Physical Research Laboratory, Shree Pannalal Patel Marg, Ahmedabad, Gujarat, 380009, India) ; Michael Spannowsky (Institute for Particle Physics Phenomenology, Durham University, Durham, DH1 3LE, U.K.; Department of Physics, Durham University, Durham, DH1 3LE, U.K.)

In this study, we critically evaluate the approximation capabilities of existing infra-red and collinear (IRC) safe feature extraction algorithms, namely Energy Flow Networks (EFNs) and Energy-weighted Message Passing Networks (EMPNs). Our analysis reveals that these algorithms fall short in extracting features from any N-point correlation that isn’t a power of two, based on the complete basis of IRC safe observables, specifically C-correlators. To address this limitation, we introduce the Hypergraph Energy-weighted Message Passing Networks (H-EMPNs), designed to capture any N-point correlation among particles efficiently. Using the case study of top vs. QCD jets, which holds significant information in its 3-point correlations, we demonstrate that H-EMPNs targeting up to N=3 correlations exhibit superior performance compared to EMPNs focusing on up to N=4 correlations within jet constituents.

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Published on:
19 January 2024
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2024 (2024)
Issue 1
Pages 1-22
DOI:
https://doi.org/10.1007/JHEP01(2024)113
arXiv:
2309.17351
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: