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The Fermi constant has a mass dimension of -2 The Fermi constant, $G_F$ itself has (by defintion) the dimension "energy times volume". You are apparently asking about the "reduced" quantity $\frac{G_F}{(\hbar~c)^3}$, (which is considered to be more practical in some applications) and which has the dimension of "inverse energy squared"; symbolically: ...


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Is there something wrong with this process? (it will admittedly be suppressed by $|V_{su}|^2\approx \frac{1}{20}$, i.e. "doubly cabbibo suppressed") or maybe even replace the Z boson with gluons.



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