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Constraints on RH component of fermion triplet under $SU(2)_L$
Consider a fermion $\chi$ whose left-handed part is in a triplet representation of $SU(2)_L$:
$$ \chi_{L} = (\chi^1,\chi^2,\chi^3)_L^{\ \ \text{T}}. $$
The charged current of $\chi_L$ (i.e. its ...
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