Everything you wanted to know about New Physics and Core-collapse Supernovae: but were afraid to ask

Core-collapse supernovae (CCSN) are efficient laboratories to explore physics beyond the standard model (SM). In particular, they have been used to put strong constraints on axion and axion like particles, and on many other motivated extensions of the SM. In this talk I will first introduce the subject and then focus on some new results for muon-philic interactions. These results are particularly timing given the recent confirmation of the muon magnetic moment anomaly, which may be a clear sign of violation of flavor universality. Then, I will describe a particular class of CCSNe, the Low Energy CCSNe, and show how they can be used as efficient beam dump experiments to severely constrain radiative particle decays.