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I have studied QFT, the SM and the Higgs mechanism when I was in university and after reading an article from CMS (CERN) about the spin-parity measurement of the HZZ channel, which shows that [itex]J^{P}=0^+[/itex] is favoured versus [itex]J^{P}=0^-[/itex], I went back to the theory of the Higgs boson.

I am struck by the fact that the theory books do not explain how the quantum numbers of the Higgs boson are deduced. (in particular parity P, charge conjugation C and time reversal T) The books that I have just cover that the SM Higgs boson has [itex]J^{PC}=0^{++}[/itex].

I would like to understand how one deduces this. Is this extracted from the Higgs Lagrangian and if so, how does one do it?

Thanks a lot !

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# Higgs boson quantum numbers

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