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My question about CP- violation, but it has many parts, so I appreciate any help about..

First: I know that, any complex coupling leads to CP - violation, so if for example A is a complex scalar, and H is a real scalar, interaction as: A HH will be forbidden if we considered CP conservation, but what about H A A, will it be allowed ?

Second: I read that ## ^{(1)} ## there is no coupling as : Z A A, because CP–invariance im-

plies that the two Higgs bosons must have an opposite parity. I don't understand why cp -invariance implies that ?

And what about a coupling to a gluon as: G S S ( consider S is a coloured cp- odd or cp- even scalar), will it be allowed ? I mean is there in the strong interactions CP - invariance or violation (since CP- violation observed only in the EW interactions )

Bests,

s

(1) " arXiv:hep-ph/0503173v2 ", Sec. 1.2.3,

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# CP violation and allowed interactions

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