Prospects of detecting prompt atmospheric neutrinos and muons with TRIDENT

Atmospheric neutrinos and muons are dominant backgrounds for astrophysical neutrino detection. The prompt component, originating from the decay of charm hadrons, is predicted to dominate at high energies due to its harder spectral index compared to the conventional component. This prompt flux, which has never been experimentally measured, is a key uncertainty for both background modeling and the development of hadronic interaction models. This work presents the prospects for the detection of the atmospheric prompt component using TRIDENT, a proposed next-generation neutrino telescope.