Multi-scale Optimal Transport for Complete Collider Events

TL;DR

This paper introduces a multi-scale optimal transport framework that models entire collider events hierarchically, capturing physics at various scales and improving event classification by considering intra-jet and inter-jet correlations.

Contribution

It develops a hierarchical optimal transport method for collider events, extending previous jet-based metrics to entire events with multi-scale modeling.

Findings

Effective in classifying collider events based on substructure and spatial correlations

Highlights the importance of nested manifold structures in collider analysis

Broadens optimal transport applications in high-energy physics

Abstract

Building upon the success of optimal transport metrics defined for single collinear jets, we develop a multi-scale framework that models entire collider events as distributions on the manifold of their constituent jets, which are themselves distributions on the ground space of the calorimeter. This hierarchical structure of optimal transport effectively captures relevant physics at different scales. We demonstrate the versatility of our method in two event classification tasks, which respectively emphasize intra-jet substructure and inter-jet spatial correlations. Our results highlight the relevance of a nested structure of manifolds in the treatment of full collider events, broadening the applicability of optimal transport methods in collider analyses.