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A new evaluation of the HZZ coupling: direct bounds on anomalous contributions and CP violating effects via a new asymmetry

30 Jan 2023arXiv:2301.13127links table onlyarchive 2025-07-28

A. I. Hernández-Juárez, G. Tavares-Velasco, A. Fernández-Téllez

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The standard model (SM) one-loop contributions to the most general H^*Z^*Z^* coupling are obtained via the background field method in terms of Passarino-Veltman scalar functions, from which the contributions to the H^*ZZ and HZZ^* couplings are obtained in terms of two CP-conserving h_(1,2)ⱽ and one CP-violating h₃ⱽ form factors (V=H, Z). The current CMS constraints on the HZZ coupling ratios are then used to obtain bounds on the real and absorptive parts of the anomalous HZZ couplings. The former are up to two orders of magnitude tighter than previous ones, whereas the latter are the first one of this kind. The effects of the absorptive parts of the HZZ anomalous couplings, which have been overlooked in the past, are analyzed via the partial decay width Γ_(H^∗→ZZ), and a significant deviation from the SM tree-level contribution is observed at low energies, though it becomes negligible at high energies. We also explore the possibility that polarized Z gauge bosons are used for the study of non-SM HZZ contributions via a new left-right asymmetry 𝒜_(LR), which is sensitive to CP-violating complex form factors and can be as large as the unity at most, though in a more conservative scenario it is four to five orders of magnitude larger than the SM prediction arising up to the three-loop level. The partial decay widths Γ_(H^∗→Z_LZ_L) and Γ_(H^∗→Z_RZ_R) are also studied in several scenarios and it is observed that the deviations from the SM can be large at high energies and increases as the energy increases. Thus, the use of polarized Z gauge bosons could give hints of CP violation. The Mathematica code for our analytical results and the numerical evaluation is available in our GitLab site.

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