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In demonstrating that Higgs mechanism gives mass to gauge boson fields, we used the fact that hypercharge Y=1/2, which is due to "Higgs particle is a complex doublet of the weak isospin SU(2) symmetry". But why?
In other words, can you show the details about why the Higgs field has charge +1/2 under the weak hypercharge U(1) symmetry?
In other words, can you show the details about why the Higgs field has charge +1/2 under the weak hypercharge U(1) symmetry?