https://doi.org/10.1140/epjc/s10052-024-13487-x
Regular Article - Theoretical Physics
Non-linear matter power spectrum modeling in interacting dark energy cosmologies
1
Instituto de Física, Universidade Federal do Rio Grande do Sul, 91501-970, Porto Alegre, RS, Brazil
2
Instituto de Física, Universidad de Antioquia, Cl. 67 #53-108, Medellín, Colombia
3
Divisão de Astrofísica, Instituto Nacional de Pesquisas Espaciais, Avenida dos Astronautas 1758, 12227-010, São José dos Campos, São Paulo, Brazil
4
School of Mathematics and Statistics, University of Sheffield, Hounsfield Road, S3 7RH, Sheffield, UK
Received:
8
May
2024
Accepted:
12
October
2024
Published online:
24
October
2024
Understanding the behavior of the matter power spectrum on non-linear scales beyond the 
CDM model is crucial for accurately predicting the large-scale structure (LSS) of the Universe in non-standard cosmologies. In this work, we present an analysis of the non-linear matter power spectrum within the framework of interacting dark energy-dark matter cosmologies (IDE). We employ N-body simulations and theoretical models to investigate the impact of IDE on these non-linear scales. Beginning with N-body simulations characterized by a fixed parameter space delineated by prior observational research, we adeptly fit the simulated spectra with a simple parametric function, achieving accuracy within 5%. Subsequently, we refine a modified halo model tailored to the IDE cosmology, exhibiting exceptional precision in fitting the simulations down to scales of approximately 1 h/Mpc. To assess the model’s robustness, we conduct a forecast analysis for the Euclid survey, employing our refined model. We find that the coupling parameter 
will be constrained to 
. This marks a significant improvement by an order of magnitude compared to any other current observational tests documented in the literature. These primary findings pave the way for a novel preliminary approach, enabling the utilization of IDE models for observational constraints concerning LSS data on non-linear scales.
© The Author(s) 2024
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Funded by SCOAP3.
