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When a massive star explodes as a Gamma Ray Burst information about thisexplosion is retained in the properties of the prompt and afterglow emission.We report on new relationships between the prompt and X-ray afterglow emissionof Swift-detected Gamma Ray Bursts found from BAT and XRT data between 2004December and 2013 August (754 GRBs). These relations suggest that the promptand afterglow emission are closely linked. In particular,we find very strongcorrelations between the BAT 15-150keV $T_{90}$ and the break times before andafter the plateau phase in the X-ray 0.3-10keV afterglow light curves. We alsofind a strong anti-correlation between the photon index of the GRB promptemission and the X-ray spectral slope of the afterglow. Further,anti-correlations exist between the rest frame peak energy in the promptemission, E-peak,z, and the X-ray afterglow decay slope during the plateauphase and the break times after the plateau phase. The rest-frame break timesbefore and after the plateau phase are also anti-correlated with the rest-frame15-150keV luminosity and isotropic energy during the prompt emission. APrincipal Component Analysis suggests that GRB properties are primarily drivenby the luminosity/energy release in the 15-150 keV band. Luminosity functionsderived at various redshifts from logN-logS analysis, indicate that the densityof bright bursts is significantly lower in the local Universe compared with theUniverseat z$\approx$3, where the density of bright GRBs peaks. Using clusteranalysis, we find that the duration of Swift BAT-detected short-duration GRBsis less than 1s. We also present the catalogue of all \swift-onboard detectedbursts.

Evidence for New Relations between Gamma Ray Burst Prompt and X-ray Afterglow Emission from 9 Years of Swift