Renormalons in the energy-energy correlator

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Hauptverfasser: Schindler, Stella T., Stewart, Iain W., Sun, Zhiquan
Format: Preprint
Veröffentlicht: 2023
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author Schindler, Stella T.
Stewart, Iain W.
Sun, Zhiquan
author_facet Schindler, Stella T.
Stewart, Iain W.
Sun, Zhiquan
contents The energy-energy correlator (EEC) is an observable of wide interest for collider physics and Standard Model measurements, due to both its simple theoretical description in terms of the energy-momentum tensor and its novel features for experimental studies. Significant progress has been made in both applications and higher-order perturbative predictions for the EEC. Here, we analyze the nature of the asymptotic perturbative series for the EEC by determining its analytic form in Borel space under the bubble-sum approximation. This result provides information on the leading and subleading nonperturbative power corrections through renormalon poles. We improve the perturbative convergence of the $\overline{\mathrm{MS}}$ series for the EEC by removing its leading renormalon using an R scheme, which is independent of the bubble-sum approximation. Using the leading R-scheme power correction determined by fits to thrust, we find good agreement with EEC OPAL data already at ${\mathcal O}(α_s^2)$.
format Preprint
id arxiv_https___arxiv_org_abs_2305_19311
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Renormalons in the energy-energy correlator
Schindler, Stella T.
Stewart, Iain W.
Sun, Zhiquan
High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
The energy-energy correlator (EEC) is an observable of wide interest for collider physics and Standard Model measurements, due to both its simple theoretical description in terms of the energy-momentum tensor and its novel features for experimental studies. Significant progress has been made in both applications and higher-order perturbative predictions for the EEC. Here, we analyze the nature of the asymptotic perturbative series for the EEC by determining its analytic form in Borel space under the bubble-sum approximation. This result provides information on the leading and subleading nonperturbative power corrections through renormalon poles. We improve the perturbative convergence of the $\overline{\mathrm{MS}}$ series for the EEC by removing its leading renormalon using an R scheme, which is independent of the bubble-sum approximation. Using the leading R-scheme power correction determined by fits to thrust, we find good agreement with EEC OPAL data already at ${\mathcal O}(α_s^2)$.
title Renormalons in the energy-energy correlator
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
Nuclear Theory
url https://arxiv.org/abs/2305.19311