Mu-neutrino & tau-neutrino mixing/scattering

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SUMMARY

The discussion centers on the feasibility of tau-neutrino and mu-neutrino scattering processes. It concludes that direct mixing of tau-neutrinos and mu-neutrinos is not possible due to lepton number conservation. Instead, the process tau-neutrino + anti-tau can lead to mu-neutrino + anti-mu via W boson exchange, which adheres to conservation laws. The participants emphasize the importance of understanding these conservation principles in particle physics.

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  • Understanding of lepton number conservation
  • Familiarity with Feynman diagrams
  • Knowledge of W boson interactions
  • Basic concepts of neutrino types and their properties
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  • Study the implications of lepton number conservation in particle interactions
  • Learn how to draw and interpret Feynman diagrams for particle processes
  • Research W boson interactions and their role in neutrino scattering
  • Explore the properties and behaviors of tau-neutrinos and mu-neutrinos
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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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