From DGLAP to Sudakov: Precision Predictions for Energy-Energy Correlators

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Main Authors: Jaarsma, Max, Li, Yibei, Moult, Ian, Waalewijn, Wouter J., Zhu, Hua Xing
Format: Preprint
Published: 2025
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author Jaarsma, Max
Li, Yibei
Moult, Ian
Waalewijn, Wouter J.
Zhu, Hua Xing
author_facet Jaarsma, Max
Li, Yibei
Moult, Ian
Waalewijn, Wouter J.
Zhu, Hua Xing
contents Correlations in the distribution of energy produced in collider experiments provide a snapshot of the microscopic dynamics of QCD, and its evolution from asymptotically free quarks and gluons, to confined hadrons. There has recently been considerable progress in the interpretation and precision calculation of these correlations, using a specific class of observables called energy correlators (EECs). These observables are most cleanly studied in $e^+e^-$ collisions, where they can be measured over their full angular range. Of particular interest are kinematic limits of the correlator, both collinear, and back-to-back, where the correlator exhibits scaling behaviors governed by specific operators in QCD. Resolving these scalings requires measurements with exceptional angular resolution, which can be achieved by performing measurements on tracks (charged particles). In this paper we perform the first calculation of the track-based EEC over its entire kinematic range, achieving a record precision of of NNLL (collinear) + NNLO (fixed order) + NNNNLL (back-to-back) for the track-based EEC, and additionally incorporate the leading non-perturbative corrections and their resummation, including the Collins-Soper kernel computed using lattice QCD. We describe the breadth of physics probed by this observable, and highlight the impact of different components of our factorization theorem on the final distribution. Combined with recent measurements of the track-based EEC with archival LEP data, our calculation initiates the precision study of track-based observables at LEP, which will lead to new insights into the dynamics of QCD, and the precision extraction of its underlying parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2512_11950
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle From DGLAP to Sudakov: Precision Predictions for Energy-Energy Correlators
Jaarsma, Max
Li, Yibei
Moult, Ian
Waalewijn, Wouter J.
Zhu, Hua Xing
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
Nuclear Experiment
Nuclear Theory
Correlations in the distribution of energy produced in collider experiments provide a snapshot of the microscopic dynamics of QCD, and its evolution from asymptotically free quarks and gluons, to confined hadrons. There has recently been considerable progress in the interpretation and precision calculation of these correlations, using a specific class of observables called energy correlators (EECs). These observables are most cleanly studied in $e^+e^-$ collisions, where they can be measured over their full angular range. Of particular interest are kinematic limits of the correlator, both collinear, and back-to-back, where the correlator exhibits scaling behaviors governed by specific operators in QCD. Resolving these scalings requires measurements with exceptional angular resolution, which can be achieved by performing measurements on tracks (charged particles). In this paper we perform the first calculation of the track-based EEC over its entire kinematic range, achieving a record precision of of NNLL (collinear) + NNLO (fixed order) + NNNNLL (back-to-back) for the track-based EEC, and additionally incorporate the leading non-perturbative corrections and their resummation, including the Collins-Soper kernel computed using lattice QCD. We describe the breadth of physics probed by this observable, and highlight the impact of different components of our factorization theorem on the final distribution. Combined with recent measurements of the track-based EEC with archival LEP data, our calculation initiates the precision study of track-based observables at LEP, which will lead to new insights into the dynamics of QCD, and the precision extraction of its underlying parameters.
title From DGLAP to Sudakov: Precision Predictions for Energy-Energy Correlators
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Theory
Nuclear Experiment
Nuclear Theory
url https://arxiv.org/abs/2512.11950