Year: 2026
Type: preprint
Abstract: It has recently been proposed that collider events can be equipped with a metric, the Energy Mover's Distance (EMD), which allows one to rephrase multiple aspects of collider physics in a geometric language. Further, the EMD can be exploited to define new observables. In this context, event isotropy quantifies the resemblance of an event to a uniform energy distribution. We present the first theoretical study of event isotropy within the framework of perturbative QCD. In particular, we first obtain the isotropy distribution in $e^+e^-$ collisions semi-analytically at $O(α_s)$ (leading-order) and numerically at $O(α_s^2)$ (next-to-leading order, NLO). Furthermore, we obtain all-order theoretical predictions by resumming the contributions of soft and collinear emissions, at next-to-leading logarithmic (NLL) accuracy. By matching resummed and fixed-order predictions we reach NLL+NLO accuracy.
Source: arXiv (Cornell University)
Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Sorbonne Université, Sorbonne Paris Cité, Laboratoire de Physique Théorique et Hautes Energies, Istituto Nazionale di Fisica Nucleare, Sezione di Genova, University of Genoa, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, CEA Paris-Saclay, Institut de Physique Théorique
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7165731380
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