Power corrections to energy flow correlations from large spin perturbation

Abstract Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of QCD on the lightcone and can be described by a tran...

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Main Authors: Hao Chen, Xinan Zhou, Hua Xing Zhu
Format: Article
Language:English
Published: SpringerOpen 2023-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2023)132
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author Hao Chen
Xinan Zhou
Hua Xing Zhu
author_facet Hao Chen
Xinan Zhou
Hua Xing Zhu
author_sort Hao Chen
collection DOAJ
description Abstract Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of QCD on the lightcone and can be described by a transverse-momentum dependent factorization formula in the leading power approximation. In this work, we develop a systematic method to go beyond this approximation. We identify the origin of logarithmically enhanced contributions in the back-to-back limit as the exchange of operators with low twists and large spins in the local operator product expansion. Using techniques from the conformal bootstrap, the large logarithms beyond leading power can be resummed to all orders in the perturbative coupling. As an illustration of this method, we perform an all-order resummation of the leading and next-to-leading logarithms beyond the leading power in N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory.
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spelling doaj.art-e21260d3996b41b39ddbdc506094148f2024-01-28T12:11:40ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231012510.1007/JHEP10(2023)132Power corrections to energy flow correlations from large spin perturbationHao Chen0Xinan Zhou1Hua Xing Zhu2Zhejiang Institute of Modern Physics, School of Physics, Zhejiang UniversityKavli Institute for Theoretical Sciences, University of Chinese Academy of SciencesZhejiang Institute of Modern Physics, School of Physics, Zhejiang UniversityAbstract Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of QCD on the lightcone and can be described by a transverse-momentum dependent factorization formula in the leading power approximation. In this work, we develop a systematic method to go beyond this approximation. We identify the origin of logarithmically enhanced contributions in the back-to-back limit as the exchange of operators with low twists and large spins in the local operator product expansion. Using techniques from the conformal bootstrap, the large logarithms beyond leading power can be resummed to all orders in the perturbative coupling. As an illustration of this method, we perform an all-order resummation of the leading and next-to-leading logarithms beyond the leading power in N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory.https://doi.org/10.1007/JHEP10(2023)132Jets and Jet SubstructureResummationScale and Conformal SymmetriesSupersymmetric Gauge Theory
spellingShingle Hao Chen
Xinan Zhou
Hua Xing Zhu
Power corrections to energy flow correlations from large spin perturbation
Journal of High Energy Physics
Jets and Jet Substructure
Resummation
Scale and Conformal Symmetries
Supersymmetric Gauge Theory
title Power corrections to energy flow correlations from large spin perturbation
title_full Power corrections to energy flow correlations from large spin perturbation
title_fullStr Power corrections to energy flow correlations from large spin perturbation
title_full_unstemmed Power corrections to energy flow correlations from large spin perturbation
title_short Power corrections to energy flow correlations from large spin perturbation
title_sort power corrections to energy flow correlations from large spin perturbation
topic Jets and Jet Substructure
Resummation
Scale and Conformal Symmetries
Supersymmetric Gauge Theory
url https://doi.org/10.1007/JHEP10(2023)132
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AT xinanzhou powercorrectionstoenergyflowcorrelationsfromlargespinperturbation
AT huaxingzhu powercorrectionstoenergyflowcorrelationsfromlargespinperturbation