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

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• CDMS stands for Constrained Dark Matter Singlet
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• Comparative analysis of SN1987A antineutrino fluence
• Neutrino mass bound in the standard scenario for supernova electronic antineutrino emission
• Neutrino Signal of Collapse-Induced Thermonuclear Supernovae: The Case for Prompt Black Hole Formation in SN1987A
• Impact of sterile neutrinos on the early time flux from a galactic supernova
• On the Detectability of High-Energy Galactic Neutrino Sources
• Expectations for high energy diffuse galactic neutrinos for different cosmic ray distributions
• Robust measurement of supernova ${\nu }_e$ spectra with future neutrino detectors
• SN1987A still shining: A Quest for Pseudo-Dirac Neutrinos
• What is the issue with SN1987A neutrinos?
• Neutrino flavour as a test of the explosion mechanism of core-collapse supernovae
• Using supernova neutrinos to monitor the collapse, to search for gravity waves and to probe neutrino masses
• Analyzing the time spectrum of supernova neutrinos to constrain their effective mass or Lorentz Invariance Violation
• Understanding and visualizing the statistical analysis of SN1987A neutrino data