Couplings of new Higgs scalars and CP- invariance

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The discussion focuses on the implications of CP-invariance on the couplings of new Higgs scalars with gauge bosons as outlined in A. Djouadi's review. It highlights that CP-invariance forbids specific couplings such as WWA, ZZA, and WZH±, and necessitates that two Higgs bosons involved in couplings with a gauge boson must have opposite parity, eliminating couplings like Zhh, ZHh, ZHH, and ZAA. Additionally, the absence of certain trilinear Higgs couplings, such as "AAA" and "A hh," is questioned, while couplings like hhh and hAA are permitted. The discussion seeks clarification on these points regarding the constraints imposed by CP-invariance. Understanding these restrictions is crucial for further exploration of Higgs physics.
Safinaz
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Hi all,

In A. Djouadi's review for Higgs, volume II, " arXiv:hep-ph/0503173v2 ", Sec. 1.2.3, it discuss the couplings of SUSY new scalars with gauge bosons, there are some points I don't understand:

- CP–invariance forbids WWA, ZZA and W ZH ± couplings

- For the couplings between two Higgs bosons and one gauge boson, CP–invariance im-
plies that the two Higgs bosons must have opposite parity and, thus, there are no Zhh, ZHh,
ZHH and ZAA coupling

Also regarding the trilinear Higgs couplings, Eq. (1.100), there are no " A A A " , or " A hh ", why is that? While there are hhh, or h A A ..Bests.
 
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Hay guys, any help ..
 

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