| Home > Publications database > Determination of $\mathcal{C}\mathcal{P}$-violating HZZ interaction with polarised beams at the ILC |
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| Journal Article | PUBDB-2026-00383 |
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2025
Springer
Heidelberg
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Please use a persistent id in citations: doi:10.1140/epjc/s10052-025-13828-4 doi:10.3204/PUBDB-2026-00383
Abstract: We study possible ${\mathcal{C}\mathcal{P}}$-violation effects of the 125 GeV Higgs to Z boson coupling at the 250 GeV ILC with transverse and longitudinal beam polarisation via the process $e^+ e^- \rightarrow HZ \rightarrow H \mu ^-\mu ^+$. We explore the azimuthal angular distribution of the muon pair from the Z boson decay, and constructe ${\mathcal{C}\mathcal{P}}$-odd observables sensitive to ${\mathcal{C}\mathcal{P}}$-violation effects, where we derived this observable both by analytical calculations and by Whizard simulations. Particularly, we can construct two ${\mathcal{C}\mathcal{P}}$-odd observables with the help of transversely-polarised initial beams and improve the statistical significance of ${\mathcal{C}\mathcal{P}}$-violation effects by combining two measurements. We defined the asymmetries between the signal regions with different signs of the ${\mathcal{C}\mathcal{P}}$-odd observables, and determine the ${\mathcal{C}\mathcal{P}}$-violation effect by comparing with the SM 95% CL upper bound. In this paper, we setup a scenario which assumes that the total cross-section is always fixed while ${\mathcal{C}\mathcal{P}}$-violation is varying, and such a scenario helps us to determine the intrinsic ${\mathcal{C}\mathcal{P}}$-mixing angle limit around $|\xi _{\mathcal{C}\mathcal{P}}|\sim 0.03~{\operatorname {rad}}$ with (90%, 40%) polarised electron-positron beams and 5 $\hbox {ab}^{-1}$ integrated luminosity. In addition, we determine the ${\mathcal{C}\mathcal{P}}$-odd coupling limit $|\widetilde{c}_{HZZ}|\sim 0.01$ as well, where we suppose that the SM tree-level cross-section is fixed and the ${\mathcal{C}\mathcal{P}}$-violation is the varying additional contribution. Comparing with the analysis with unpolarised beams, the sensitivity to the ${\mathcal{C}\mathcal{P}}$-violation effect can be improved by transverse or longitudinal polarisation.
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