Supernova neutrino fluxes in HALO-1kT,Super-Kamiokande, and JUNO

When the next galactic core-collapse supernova occurs, we must be ready to obtain as much information as possible. Although many present and future detectors are well equipped to detect $\overline{\nu}_{\mathrm{e}}$ and $\nu_x$ neutrinos, the detection of the $\nu_{\mathrm{e}}$ species presents the biggest challenges. We assess the impact that a 1 kton lead-based detector, such as HALO-1kT, can have in constraining electron neutrino time-integrated fluxes. The study involves the detector taken alone as well as when combined with massive $\overline{\nu}_{\mathrm{e}}$-sensitive detectors such as Super-Kamiokande and JUNO. Despite the low statistics, the orthogonal information is helpful in constraining the $\nu_{\mathrm{e}}$ mean energy, especially if no other $\nu_{\mathrm{e}}$-sensitive channel is implemented. A discussion on the reconstruction of $\overline{\nu}_{\mathrm{e}}$ and $\nu_x$ species, as well as the total emitted energy, is also presented.