The likelihood for supernova neutrino analyses

Abstract

We derive the event-by-event likelihood that allows to extract the complete information contained in the energy, time and direction of supernova neutrinos, and specify it in the case of SN1987A data. We resolve discrepancies in the previous literature, numerically relevant already in the concrete case of SN1987A data.

7 pages, 2 figures. Accepted for publication in PRD