Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inference of bipolar neutrino flavor oscillations near a core-collapse
  supernova, based on multiple measurements at Earth   Neutrinos in compact-object environments, such as core-collapse supernovae,
can experience various kinds of collective effects in flavor space, engendered
by neutrino-neutrino interactions. These include "bipolar" collective
oscillations, which are exhibited by neutrino ensembles where different flavors
dominate at different energies. Considering the importance of neutrinos in the
dynamics and nucleosynthesis in these environments, it is desirable to
ascertain whether an Earth-based detection could contain signatures of bipolar
oscillations that occurred within a supernova envelope. To that end, we
continue examining a cost-function formulation of statistical data assimilation
(SDA) to infer solutions to a small-scale model of neutrino flavor
transformation. SDA is an inference paradigm designed to optimize a model with
sparse data. Our model consists of two mono-energetic neutrino beams with
different energies emanating from a source and coherently interacting with each
other and with a matter background, with time-varying interaction strengths. We
attempt to infer flavor transformation histories of these beams using simulated
measurements of the flavor content at locations in vacuum (that is, far from
the source), which could in principle correspond to earth-based detectors.
Within the scope of this small-scale model, we found that: (i) based on such
measurements, the SDA procedure is able to infer \textit{whether} bipolar
oscillations had occurred within the protoneutron star envelope, and (ii) if
the measurements are able to sample the full amplitude of the neutrino
oscillations in vacuum, then the amplitude of the prior bipolar oscillations is
also well predicted. This result intimates that the inference paradigm can well
complement numerical integration codes, via its ability to infer flavor
evolution at physically inaccessible locations.

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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg