Fox-Wolfram Moments in Higgs Physics
Catherine Bernaciak, Malte Sean Andreas Buschmann, Anja Butter, and, Tilman Plehn

TL;DR
Fox-Wolfram moments, based on spherical harmonics, effectively describe jet correlations and enhance Higgs boson searches in LHC analyses, offering a new geometric approach.
Contribution
This paper introduces the use of Fox--Wolfram moments to analyze jet correlations, improving Higgs search strategies at the LHC.
Findings
Fox--Wolfram moments improve Higgs search sensitivity.
Application of these moments enhances analysis of jet correlations.
Method surpasses traditional jet analysis techniques.
Abstract
Geometric correlations between jets as part of hard processes or in addition to hard processes are key ingredients to many LHC analyses. Fox--Wolfram moments systematically describe these correlations in terms of spherical harmonics. These moments, either computed from the tagging jets or from all jets in each event, can significantly improve Higgs searches in weak boson fusion. Applications of Fox--Wolfram moments in LHC analyses obviously surpass jets as analysis objects as well as Higgs searches in terms of analyses.
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