14716 10.1140/epjc/s10052-025-14716-7 992 66 Revisiting the constraints on interacting holographic dark energy models with current observational data Regular Article - Theoretical Physics Theoretical Physics 1 11 2025 9 5 2025 4 17 2025 8 30 2025 9 15 Natural Science Foundation of Anhui Province 1508085QA17 Cultivation Project for Young and Middle-aged Teachers in Provincial Colleges and Universities YQZD2024034 National Natural Science Foundation of China 11505004 12305056 12375045 Anhui Science and Technology University’s Key Discipline Construction Fund XKXJGY002 The Author(s) 2025 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ . Funded by SCOAP3. 10052 85 85 9 9 Xiaofang Shen Bing Xu xub@ahstu.edu.cn Kaituo Zhang ktzhang@ahnu.edu.cn Xiangyun Fu Liangliang Ren Zelin Zhang https://ror.org/05fsfvw79 grid.440646.4 0000 0004 1760 6105 Department of Physics Anhui Normal University Wuhu 241000 Anhui China https://ror.org/01pn91c28 grid.443368.e 0000 0004 1761 4068 School of Electrical and Electronic Engineering Anhui Science and Technology University Bengbu 233030 Anhui China https://ror.org/02m9vrb24 grid.411429.b 0000 0004 1760 6172 Department of Physics, Key Laboratory of Intelligent Sensors and Advanced Sensor Materials Hunan University of Science and Technology Xiangtan 411201 Hunan China Abstract We update the observational constraints on the interacting holographic dark energy (IHDE) models by considering ten representative interaction forms, each defined in terms of the energy densities of dark energy ( ρ de ) and dark matter ( ρ dm ). This analysis utilizes the latest observational datasets, including baryon acoustic oscillation (BAO) measurements from the second data release (DR2) of the Dark Energy Spectroscopic Instrument (DESI), type Ia supernova (SNIa) data from the full five-year observations of the Dark Energy Survey (DES), cosmic microwave background (CMB) observations from Planck 2018, observational Hubble parameter data (OHD), and the local measurement of Hubble constant. Using AIC, BIC and Bayes factor, we find that the Λ CDM model remains the most strongly favored by the data, while the holographic dark energy (HDE) model is ruled out. Relative to the HDE model, the IHDE models provide a significantly better fit to the data, and the interaction can help alleviating the Big Rip problem. Among the ten IHDE models considered, the two with interaction terms Q = 3 β H 0 ρ de and Q = 3 β H 0 ρ dm ρ de , are the most strongly supported by the observational data, where β is the coupling parameter. Additionally, the AIC, BIC, and Bayes factor values for the majority of IHDE models are nearly identical, indicating minimal differences in their fitting performance with the current data. This implies that more precise future observations will be necessary to better distinguish between these interaction forms.