2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/175968Loeb and Waxman have argued that high energy neutrinos from the decay of pions produced in interactions of cosmic rays with interstellar gas in starburst galaxies would be produced with a large enough flux to be observable. Here we obtain an upper limit to the diffuse neutrino flux from starburst galaxies which is a factor of $\sim$5 lower than the flux which they predict. Compared with predicted fluxes from other extragalactic high energy neutrino sources, starburst neutrinos with $\sim$ PeV energies would have a flux considerably below that predicted for AGN models. We also estimate an upper limit for the diffuse GeV $γ$-ray flux from starbust galaxies to be $\cal{O}$$(10^{-2})$ of the observed $γ$-ray background, much less than the component from unresolved blazars.4 pages, for Proc. TeV2 Conf., Madison, WI, to be published in J. PhysAstrophysicsHigh Energy Physics - Phenomenologytext