Viaggiu holographic dark energy in light of DESI DR2

We test the cosmological viability of the Viaggiu holographic dark energy (VHDE) model by using late-time observational data. In particular, we place constraints on the free parameters of the model using Type Ia supernovae from the PantheonPlus, Union3.0, and DES-Dovekie catalogues, the Cosmic Chronometers, and the Baryon Acoustic Oscillations from the DESI DR2. Our analysis suggests that the VHDE model fits the observational data better or similar to the $\Lambda$CDM for all dataset combinations considered. The value obtained for $H_0$ is similar to the $\Lambda$CDM, while the current matter density parameter is constrained around $\Omega_{m0}\simeq 0.24$, smaller to that obtained by the $\Lambda$CDM. Moreover, the parameter introduced by the VHDE is found to have a mean value within the range $\frac{\pi}{3} \delta^2 \sim 0.27-0.33$. Finally, we used Akaike's Information Criterion (AIC) and Bayesian evidence to test the VHDE model against the $\Lambda$CDM scenario. The AIC demonstrates that the two models are statistically indistinguishable, while Bayesian evidence reveals that the data have a mild preference for the $\Lambda$CDM model for most of the dataset combinations considered. Nevertheless, the VHDE model remains consistent with current late-time cosmological observations and offers a feasible mechanism for describing the late-time accelerating scenario.