Couplings of new Higgs scalars and CP- invariance

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SUMMARY

The discussion focuses on the couplings of new Higgs scalars and the implications of CP-invariance as outlined in A. Djouadi's review for Higgs, volume II (arXiv:hep-ph/0503173v2). It is established that CP-invariance prohibits specific couplings such as WWA, ZZA, and WZH±. Additionally, for couplings involving two Higgs bosons and one gauge boson, it is concluded that the Higgs bosons must possess opposite parity, leading to the absence of couplings like Zhh, ZHh, ZHH, and ZAA. The discussion also raises questions about the absence of certain trilinear Higgs couplings, specifically "AAA" and "A hh".

PREREQUISITES
  • Understanding of CP-invariance in particle physics
  • Familiarity with Higgs boson couplings
  • Knowledge of supersymmetry (SUSY) concepts
  • Basic grasp of gauge bosons and their interactions
NEXT STEPS
  • Study the implications of CP-invariance on particle interactions
  • Research the specific couplings of Higgs bosons in SUSY models
  • Examine the mathematical framework of trilinear Higgs couplings
  • Explore the role of gauge bosons in the Standard Model of particle physics
USEFUL FOR

Particle physicists, researchers in supersymmetry, and students studying Higgs boson interactions will benefit from this discussion.

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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