The connection between nucleon energy correlators and fracture functions

Abstract We establish a sum rule that connects fracture functions to nucleon energy-energy correlators (NEECs) in a one-to-one correspondence. Using this sum rule, we study the energy pattern in the target fragmentation region of deep inelastic scatterings. Through investigations up to twist-3, we e...

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Main Authors: Kai-Bao Chen, Jian-Ping Ma, Xuan-Bo Tong
Format: Article
Language:English
Published: SpringerOpen 2024-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2024)227
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author Kai-Bao Chen
Jian-Ping Ma
Xuan-Bo Tong
author_facet Kai-Bao Chen
Jian-Ping Ma
Xuan-Bo Tong
author_sort Kai-Bao Chen
collection DOAJ
description Abstract We establish a sum rule that connects fracture functions to nucleon energy-energy correlators (NEECs) in a one-to-one correspondence. Using this sum rule, we study the energy pattern in the target fragmentation region of deep inelastic scatterings. Through investigations up to twist-3, we express all eighteen energy-pattern structure functions in terms of associated NEECs, elucidating various azimuthal and spin asymmetries critical for nucleon tomography. Additionally, we investigate the perturbative matching of the twist-2 quark NEECs. We demonstrate that the Sivers-type and worm-gear-type quark NEECs match onto twist-3 multi-parton distributions. Our work provides a framework for examining energy-weighted observables through hadron production processes in the target fragmentation region, offering new insights into nucleon tomography.
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spelling doaj-art-5fc35b11c09c4e4f89c3569d4b46fd5e2024-11-24T12:08:11ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024814210.1007/JHEP08(2024)227The connection between nucleon energy correlators and fracture functionsKai-Bao Chen0Jian-Ping Ma1Xuan-Bo Tong2School of Science, Shandong Jianzhu UniversityCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesDepartment of Physics, University of JyväskyläAbstract We establish a sum rule that connects fracture functions to nucleon energy-energy correlators (NEECs) in a one-to-one correspondence. Using this sum rule, we study the energy pattern in the target fragmentation region of deep inelastic scatterings. Through investigations up to twist-3, we express all eighteen energy-pattern structure functions in terms of associated NEECs, elucidating various azimuthal and spin asymmetries critical for nucleon tomography. Additionally, we investigate the perturbative matching of the twist-2 quark NEECs. We demonstrate that the Sivers-type and worm-gear-type quark NEECs match onto twist-3 multi-parton distributions. Our work provides a framework for examining energy-weighted observables through hadron production processes in the target fragmentation region, offering new insights into nucleon tomography.https://doi.org/10.1007/JHEP08(2024)227Deep Inelastic Scattering or Small-x PhysicsFactorizationRenormalization GroupParton Distributions
spellingShingle Kai-Bao Chen
Jian-Ping Ma
Xuan-Bo Tong
The connection between nucleon energy correlators and fracture functions
Journal of High Energy Physics
Deep Inelastic Scattering or Small-x Physics
Factorization
Renormalization Group
Parton Distributions
title The connection between nucleon energy correlators and fracture functions
title_full The connection between nucleon energy correlators and fracture functions
title_fullStr The connection between nucleon energy correlators and fracture functions
title_full_unstemmed The connection between nucleon energy correlators and fracture functions
title_short The connection between nucleon energy correlators and fracture functions
title_sort connection between nucleon energy correlators and fracture functions
topic Deep Inelastic Scattering or Small-x Physics
Factorization
Renormalization Group
Parton Distributions
url https://doi.org/10.1007/JHEP08(2024)227
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