2026-06-29T03:12:47Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1028272024-04-09T00:06:04Zcom_20.500.14352_14col_20.500.14352_15

Information entropy and fragmentation functions Benito-Calviño, Guillermo García-Olivares, Javier Llanes Estrada, Felipe José 2023 Acuerdos transformativos CRUE Several groups have recently investigated the flow of information in high-energy collisions, from the entanglement entropy of the proton yielding classical Shannon entropy of its parton distribution functions (pdfs), through jet splitting generating entropy, to the entropy distribution in hadron decays. Lacking in the literature is a discussion of the information entropy of fragmentation functions (FFs) in the instances where they can be considered as probability distributions, and we here provide it. We find that this entropy is a single, convenient number to characterize future progress in the extraction of fragmentation functions. We also deploy the related Kullback-Leibler divergence between two distributions to assess existing relations among FFs and parton distribution functions (pdfs) such as that of Barone, Drago and Ma. From a couple of current parametrizations of FFs, we do not find supporting empirical evidence for the relation, although it is possible that FFs and pdfs have similar power-laws near the x = 1 endpoint. 2024-04-08T12:21:47Z 2024-04-08T12:21:47Z 2023-08 journal article Benito-Calviño, G., García-Olivares, J., & Llanes-Estrada, F. J. (2023). Information entropy and fragmentation functions. Nuclear Physics A, 1036, 122670. 0375-9474 10.1016/j.nuclphysa.2023.122670 https://hdl.handle.net/20.500.14352/102827 1873-1554 https://www.sciencedirect.com/science/article/pii/S0375947423000738 https://arxiv.org/abs/2209.13225 eng info:eu-repo/grantAgreement/EC/H2020/824093/EU info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108655GB-I00/ES/TEORIAS EFECTIVAS EN FISICA DE ALTAS ENERGIAS Y COSMOLOGIA/ info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106080GB-C21/ES/FISICA HADRONICA Y CROMODINAMICA CUANTICA: DESDE LAS BAJAS ENERGIAS HASTA EL LHC/ 910309 http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 International Elsevier