90% CL upper limits for the baryon equipartition parameter ϵ_p and the baryon loading parameter ξ_p in the Northern (left) and Southern (right) Sky. These constraints are obtained with the stacking analysis of the prompt catalog (upper plots) and subcatalog of GRBs with available redshift (bottom plots), assuming a neutrino spectral index γ = 1. Excluded values are shown as shaded regions for different hypothesis of the redshift z (upper plots) and of the timescale variability δt_obs (bottom plots).