I was doing an exercise with the decay: [itex] \mu \rightarrow e \gamma [/itex](adsbygoogle = window.adsbygoogle || []).push({});

which violates the lepton number but it is (in principle) allowed due to neutrinos interactions.

The exercise asked to approach the problem with the HUP and find the time interval and "distance" travelled by the intermediate neutrinos, and compare it to the km scale of neutrino oscillations.

[itex]L= c \Delta t = \frac{\hbar c}{2 M_W} \sim 10^{-21}~ km[/itex]

Obviously very small...

I was wondering if anyone knows a way that uses the normal derivation for the probability of this interaction. In particular I am not sure I know how to use the fermion propagator lines for the neutrinos when at some point there is a flavor change.

I think experimentally the Branching ratio has been found to be less that ##0.57 \times 10^{-12}##

http://en.wikipedia.org/wiki/Mu_to_E_Gamma

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# ##\mu##2##e\gamma## probability

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