Neutrino ocsillations, a question.

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Hello!

Have a question:

Imagine a world described by the Standard Model, supplemented with three right handed neutrinos, and massless charged leptons, would neutrinos oscillate in such a world?

Thank you!
 
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what would make their mass matrix diagonal you think?
 
afaik all what you need are neutrino masses w/o any additional requirement regarding the other leptons.
 

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