  Nonstandard interactions (NSI) of neutrinos with matter can significantly
alter neutrino flavor evolution in supernovae with the potential to impact
explosion dynamics, nucleosynthesis, and the neutrinos signal. In this paper,
we explore, both numerically and analytically, the landscape of neutrino flavor
transformation effects in supernovae due to NSI and find a new, heretofore
unseen transformation processes can occur. These new transformations can take
place with NSI strengths well below current experimental limits. Within a broad
swath of NSI parameter space, we observe symmetric and standard matter-neutrino
resonances for supernovae neutrinos, a transformation effect previously only
seen in compact object merger scenarios; in another region of the parameter
space we find the NSI can induce neutrino collective effects in scenarios where
none would appear with only the standard case of neutrino oscillation physics;
and in a third region the NSI can lead to the disappearance of the high density
Mikheyev-Smirnov-Wolfenstein resonance. Using a variety of analytical tools, we
are able to describe quantitatively the numerical results allowing us to
partition the NSI parameter according to the transformation processes observed.
Our results indicate nonstandard interactions of supernova neutrinos provide a
sensitive probe of beyond the Standard Model physics complementary to present
and future terrestrial experiments.
