Fundamental physics with cosmic particles

Cosmic rays (charged particles), γ-rays and neutrinos offer unique opportunities to extend the search for dark matter, to test quantum gravity phenomenology through the study of the invariance of the group of Lorentz transformations, and to probe the existence of sterile neutrinos. We discuss here these tests of beyond the Standard Model particle physics with present and planned future missions including the Pierre Auger Observatory, the space-borne mission Alpha Magnetic Spectrometer (AMS-02), Fermi-LAT, the High Altitude Water Cherenkov (HAWC), the IceCube South Pole Neutrino Observatory as presently operating experiments, and the Cherenkov Telescope Array (CTA) and the IceCube-Gen2 as future large scale infrastructures. The Standard Model of particle physics is extremely successful in describing the properties of matter and forces, although it leaves fundamental questions unanswered, like the existence of dark matter, the asymmetry of matter anti-matter in the universe, and the neutrino masses. Cosmic particles offer unique opportunities to address these many fundamental questions. Tests done with present and planned future missions are reviewed.