TY - JOUR T1 - Collapsar γ-ray bursts: how the luminosity function dictates the duration distribution Y1 - 2017 A1 - Petropoulou, Maria A1 - Duran, Rodolfo Barniol A1 - Giannios, Dimitrios KW - Astrophysics - High Energy Astrophysical Phenomena KW - gamma-ray burst: general AB - Jets in long-duration γ-ray bursts (GRBs) have to drill through the collapsing star in order to break out of it and produce the γ-ray signal while the central engine is still active. If the breakout time is shorter for more powerful engines, then the jet-collapsar interaction acts as a filter of less luminous jets. We show that the observed broken power-law GRB luminosity function is a natural outcome of this process. For a theoretically motivated breakout time that scales with jet luminosity as L with χ ∼ 1/3-1/2, we show that the shape of the γ-ray duration distribution can be uniquely determined by the GRB luminosity function and matches the observed one. This analysis has also interesting implications about the supernova-central engine connection. We show that not only successful jets can deposit sufficient energy in the stellar envelope to power the GRB-associated supernovae, but also failed jets may operate in all Type Ib/c supernovae. VL - 472 SN - 0035-8711 UR - https://ui.adsabs.harvard.edu/abs/2017MNRAS.472.2722P JO - Monthly Notices of the Royal Astronomical Society ER -