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Parameter degeneracy in flavor-dependent reconstruction of supernova neutrino fluxes

Hisakazu Minakata1, Hiroshi Nunokawa2, Ricard Tomàs3,4 and Jose W F Valle3

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We re-examine the possibility of reconstructing the initial fluxes of supernova neutrinos emitted in a future core-collapse galactic supernova explosion and detected in a megaton-sized water Cherenkov detector. A novel key element in our method is the inclusion, in addition to the total and the average energies of each neutrino species, of a 'pinching' parameter characterizing the width of the distribution as a fit parameter. We uncover in this case a continuous degeneracy in the reconstructed parameters of supernova neutrino fluxes at the neutrinosphere. We analyze in detail the features of this degeneracy and show how it occurs irrespective of the parameterization used for the distribution function. Given that this degeneracy is real we briefly comment on possible steps towards resolving it, which necessarily requires going beyond the setting presented here.


Keywords

supernova neutrinos

neutrino detectors

 

E-print Number: 0802.1489

Cited: by |

Refers: to

PACS

97.60.Bw Supernovae

14.60.Pq Neutrino mass and mixing

96.50.sb Composition, energy spectra and interactions

96.60.Vg Particle emission, solar wind

95.30.Cq Elementary particle processes

96.50.Vg Energetic particles

Subjects

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 12 (December 2008)

Received 15 February 2008, accepted for publication 12 November 2008

Published 4 December 2008



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