We study high-energy neutrino production from interactions between supernova (SN) ejecta and the surrounding circumstellar material (CSM), focusing on regular Type II and Type IIn SNe. Using observationally inferred CSM density distributions, we calculate the resulting neutrino fluxes and examine their dependence on key parameters, including the CSM density normalization $D_{*}$, outer radius $R_{\mathrm{csm}}$, proton acceleration efficiency ${\epsilon }_p$, and magnetic energy fraction ${\epsilon }_B$. Detection prospects are assessed with a binned likelihood analysis for IceCube, indicating that nearby SNe with moderately dense, confined CSM can produce detectable signals, with a typical detection horizon of $\sim 0.1–1\mathrm{Mpc}$. For a Galactic SN at $\sim 10\mathrm{kpc}$, high-statistics neutrino data with detailed temporal and spectral information can constrain $D_{*}$, $R_{\mathrm{csm}}$, and ${\epsilon }_p$ to within a factor of $\sim 10$ or to a precision of $\sim 20\%$, depending on the assumed values of $D_{*}$ and $R_{\mathrm{csm}}$. These neutrino signals thus provide a complementary probe of the CSM profile and shock acceleration, alongside traditional electromagnetic observations.

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• Extrasolar neutrino astronomy
• Novae & supernovae