Neutrino astronomy is an emerging field allowing us to study the most energetic phenomena
in the Universe. While some first neutrino sources have been recently identified, the origin of
the full high-energy diffuse neutrino flux is still unknown. Gamma-ray bursts (GRBs) were
believed to be a promising candidate to contribute to the diffuse flux. However, no significant
counterpart neutrinos were observed in association with GRBs, despite numerous searches. To
assess if GRBs are capable of emitting high-energy neutrinos, more refined analyses are now
required. This project proposes an original approach based on the construction of "Neutrino
Energy Distributions" (NEDs), which can be considered as the neutrino analog of spectral energy
distributions in electromagnetic astronomy. By combining theoretical predictions from various
models, NEDs provide a powerful tool to perform detailed, multi-energy studies. This contribution
will first motivate the necessity of NEDs in neutrino astronomy, then review the theoretical neutrino
emission processes in Gamma-ray Bursts and finally present two practical analyses examples.

