Abstract
A consistent interpretation of the Higgs data requires the same precision in the Higgs boson masses and in the trilinear Higgs self-couplings, which are related through their common origin from the Higgs potential. In this work we provide the two-loop corrections at \( \mathcal{O}\left({\alpha}_t{\alpha}_s\right) \) in the approximation of vanishing external momenta to the trilinear Higgs self-couplings in the CP-violating Next-to-Minimal Supersymmetric extension of the Standard Model (NMSSM). In the top/stop sector two different renormalization schemes have been implemented, the OS and the \( \overline{\mathrm{DR}} \) scheme. The two-loop corrections to the self-couplings are of the order of 10% in the investigated scenarios. The theoretical error, estimated both from the variation of the renormalization scale and from the change of the top/stop sector renormalization scheme, has been shown to be reduced due to the inclusion of the two-loop corrections.
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Mühlleitner, M., Nhung, D.T. & Ziesche, H. The order \( \mathcal{O}\left({\alpha}_t{\alpha}_s\right) \) corrections to the trilinear Higgs self-couplings in the complex NMSSM. J. High Energ. Phys. 2015, 1–37 (2015). https://doi.org/10.1007/JHEP12(2015)034
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DOI: https://doi.org/10.1007/JHEP12(2015)034