Speaker
Description
We examine the time delay distribution of astrophysical neutrinos as a result of Beyond Standard Model interactions with the cosmic neutrino background. We focus on the case of neutrino-neutrino interactions with a scalar mediator, and develop a framework to handle the sharp increase in the cross section at resonance energy. For a 10 MeV mediator mass and neutrino mass of 0.1 eV, we find that the neutrino characteristic time delay differs from analytic estimates at large optical depths, both in the elastic and inelastic scattering regimes. As an application of our simulations, we assumed an $E^{-2}$ power law spectrum at $z=1$, and found typical delays of 10s--1000s, for neutrinos above 1 TeV, for coupling strengths between 0.01 and 0.2.