Predicting the positive parity and zero spin of the Higgs boson?

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Intesar
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Can we predict the positive parity, and zero spin of the Higgs boson from the decay mode: 𝐻 → 𝛾𝛾?
 
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##H\to \gamma\gamma## tells you that it is not spin-1, because that decay is forbidden by the Landau-Yang theorem.

I think the mere existence of that decay channel does not exclude anything else for spin and parity, without more detailed analyses of the decays.
 
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What have you tried?
 
This paper (https://arxiv.org/pdf/1506.05669.pdf) is using ##H\to \gamma\gamma## to study the spin-2 hypothesis (but they also use other channels), but it does not seem to be sensitive to the pseudo-scalar hypothesis.
 
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Do we expect that parity and spin are conserved in this particular decay? If so can we use the spin and parity of the two photons to predict those for the H boson?
 
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