CP violation in 2HDM and EFT: the ZZZ vertex

Abstract

We study the CP violating ZZZ vertex in the two-Higgs doublet model, which is a probe of a Jarlskog-type invariant in the extended Higgs sector. The form factor $f_4^Z$ is evaluated at one loop in a general $R_{\xi }$ gauge and its magnitude is estimated in the realistic parameter space. Then we turn to the decoupling limit of the two-Higgs doublet model, where the extra scalars are heavy and the physics can be described by the Standard Model supplemented by higher-dimensional operators. The leading operator contributing to $f_4^Z$ at one loop is identified. The CP violating ZZZ vertex is not generated in the effective theory by dimension-8 operators, but instead arises only at the dimension-12 level, which implies an additional suppression by powers of the heavy Higgs mass scale.

21 pages; v2: added references and comments, appendix A on method of regions, and appendix B on derivation of CP-violating effective Lagrangian. Corrected discussion of dimension-12 operators contributing to ZZZ vertex. Final JHEP version

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Cited by in corpus (13)

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• Basis-independent treatment of the complex 2HDM
• ATLAS Violating CP Effectively
• CP in the dark
• Contributions to $ZZ{V}^{\ast }$ ($V=\gamma ,Z,Z^{\prime }$) couplings from $CP$ violating flavor changing couplings
• Renormalization of the C2HDM with FeynMaster 2
• P-even, CP-violating Signals in Scalar-Mediated Processes
• Probing CP violating Higgs sectors via the precision measurement of coupling constants
• Relevance of one-loop SMEFT matching in the 2HDM
• Pseudoscalar decays to gauge bosons at the LHC and at a future 100 TeV collider
• Non-diagonal contributions to $Z\gamma V^{\ast }$ vertex, polarizations and bounds on $Z\overline{t}q$ couplings
• Search for the anomalous $ZZZ$ and $ZZ\gamma$ gauge couplings through the process $e^{+}{e}^{-}\to ZZ$ with unpolarized and polarized beams