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Hi I was reading this paper (Pair Creation Constrains Superluminal Neutrino Propagation) for an assignment and I came across the following question: in the article, it is said that if we assume that Neutrinos are superluminal then they would undergo Cherenkov-like processes even in vacuum as they would be kinematically allowed. However, neutrinos are fully neutral particles so they should not undergo Cherenkov-like radiation right? Could someone explain?

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Neutrinos have no electric charge, and thus should not undergo Cherenkov radiation. They have other charges, weak hypercharge and weak isospin. The "Cherenkov-like" radiation the paper proposes would have weak bosons taking the place of photons.

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