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The Order $\mathcal{O}(\alpha_t\alpha_s)$ Corrections to the Trilinear Higgs Self-Couplings in the Complex NMSSM
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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 order ${\cal O}(\alpha_t \alpha_s)$ 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 $\overline{\text{DR}}$ 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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Cited by 1 Pith paper
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Loop-corrected Trilinear Higgs Self-Couplings in the NMSSM with Inverse Seesaw Mechanism
Loop corrections from inverse-seesaw neutrinos and sneutrinos can change the SM-like Higgs self-coupling by up to 10.5% and the SM-like Higgs mass by up to 4.5% in the NMSSM with inverse seesaw.
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