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We show that the observed fluxes, spectra and sky distributions of the highenergy diffuse backgrounds of astronomical neutrinos, gamma rays and cosmic raypositrons satisfy simple relations expected from their common production inhadronic collisions of high energy cosmic rays (CRs) with diffuse matter. Thisprovides compelling evidence that the high energy neutrino, gamma ray, andpositron backgrounds have a common origin - hadronic meson production by cosmicrays in our Galaxy and in external galaxies rather than through thedecay/annihilation of dark matter particles.

Common origin of the diffuse high energy backgrounds of gamma rays, neutrinos and cosmic ray positrons?