Constraints on the modified emergent dark energy model using DESI DR2 BAO

In this work, we investigated the modified emergent dark energy model using the baryon acoustic oscillation data from the Dark Energy Spectroscopic Instrument Data Release 2, together with CMB information from the LoLLiPoP (low-ℓ) and HiLLiPoP (high-ℓ) likelihoods based on the latest Planck NPIPE PR4 data release, along with the Planck PR4 lensing and ACT DR6 lensing likelihoods, as well as three different Type Ia supernova datasets (Pantheon + , DES-Dovekie, and Union3). Our analysis shows that the MEDE model remains largely consistent with the standard ΛCDM cosmology. Although the model allows small deviations from ΛCDM, the inclusion of SNe Ia datasets drives the parameters toward values consistent with the standard cosmological model within the 1 σ level. In particular, the parameter α does not show any statistically significant deviation from α = 0 . We further find that the MEDE model does not significantly alleviate the current H 0 and S 8 tensions. The inferred values of H 0 remain lower than the SH0ES measurement, while the sound horizon scale r d stays nearly unchanged compared to the ΛCDM prediction. Similarly, although the MEDE model predicts slightly lower values of S 8 , the reduction is not sufficient to ease the tension with weak-lensing observations. The evolution of the cosmological quantities closely follows that of ΛCDM, with deviations generally remaining below the 0.5 σ level. Moreover, the CMB + DESI DR2 dataset combination favors a full phantom regime, whereas the inclusion of SNe Ia datasets shifts the evolution toward a full quintessence regime. Finally, the Δ χ M A P 2 and ΔAIC analyses indicate a slightly better fit of the MEDE model to the observational data, whereas the logarithmic Bayes factor shows inconclusive evidence in favour of the MEDE model over the ΛCDM model. Despite its overall consistency with the standard cosmological scenario, the MEDE model does not show the phantom-crossing behavior suggested by recent DESI DR2 observations.