Characterization of the GRB prompt fundamental plane using Fermi-GBM data

A recent work has found a tight global relation between the GRB prompt fluence, peak flux (based on optimum time scale determined from Bayesian Blocks-based analysis) and duration using data Fermi Gamma-Ray burst monitor, which they have dubbed as “Fundamental Plane”. We quantitatively characterize tightness of this Fundamental Plane by calculating scatter in dex. also check for fundamental plane over scales 64 ms, 256 ms 1024 ms. For our analysis, we incorporate uncertainties above observables carried out both PCA well regression-based analysis. find that is 0.16-0.17