Mu-neutrino & tau-neutrino mixing/scattering

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kokolovehuh
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Hi all,
I was wondering, is this scattering process even possible? Since we cannot mix the two neutrinos on one side due to lepton number conservation, we need to convert one of the neutrino to its anti-neutrino by crossing symmetry. To conserve tau&mu number we have:

tau-neutrino + anti tau -> anti mu-neutrino + mu

However, this does not conserve charges!

Am I getting something wrong here, or is this scattering not possible?
Thanks in advance :-)
 
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Try to draw a Feynman diagram ;).
It is not possible.

tau-neutrino + anti tau -> W -> mu-neutrino + anti-mu is possible.
 
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