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Sensitivity to Supernovae Average Temperature with Neutral Current Interactions in DUNE
We explore a novel method for measuring the average temperature of the
component in Type-II core-collapse supernovae. By measuring neutral
current incoherent neutrino-Argon interactions in DUNE we can obtain spectral
information for the combination of all active neutrino species. Combining this
all-neutrino spectral information with detailed charged current measurements of
the electron neutrino and electron anti-neutrino fluxes from DUNE and
Hyper-Kamiokande, we can infer the average temperature for the remaining
neutrino species in the component to within a factor two for most cases
and to 30% for a small range of average temperatures. Due to the
limited energy range of the emitted photons from incoherent neutral current
interactions on Argon, the temperature reconstruction demonstrates a
degeneracy in the one and two sigma credible regions. Furthermore, while large
uncertainties on the NC cross-section penalize this measurement, we examined
the efficacy of constraining NC cross-section uncertainties on improving
measurements. We found that if additional measurements of
B(M1) 1 excited state transitions in Argon are able to reduce
correlated cross section uncertainties from 15% to 7%, the size of the
allowed regions for becomes sample size limited, and
approaches the case where there are no uncertainties on the cross-section.Comment: 9 pages, 13 figure
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