The connection between Nucleon Energy Correlators and Fracture Functions

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Hauptverfasser: Chen, Kai-Bao, Ma, Jian-Ping, Tong, Xuan-Bo
Format: Preprint
Veröffentlicht: 2024
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author Chen, Kai-Bao
Ma, Jian-Ping
Tong, Xuan-Bo
author_facet Chen, Kai-Bao
Ma, Jian-Ping
Tong, Xuan-Bo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_08559
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The connection between Nucleon Energy Correlators and Fracture Functions
Chen, Kai-Bao
Ma, Jian-Ping
Tong, Xuan-Bo
High Energy Physics - Phenomenology
Nuclear Theory
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.
title The connection between Nucleon Energy Correlators and Fracture Functions
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2406.08559