The Order $\mathcal{O}({\alpha }_t{\alpha }_s)$ Corrections to the Trilinear Higgs Self-Couplings in the Complex NMSSM

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 $\mathcal{O}({\alpha }_t{\alpha }_s)$ 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.

31 pages, 7 figures

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• Impact of Electroweak Corrections on Neutral Higgs Boson Decays in Extended Higgs Sectors
• Light Higgs Bosons in NMSSM at the LHC
• Two-Loop $\mathcal{O}({\alpha }_t^2)$ Corrections to the Neutral Higgs Boson Masses in the CP-Violating NMSSM
• Gauge Dependences of Higher-Order Corrections to NMSSM Higgs Boson Masses and the Charged Higgs Decay $H^{\pm }\to W^{\pm }{h}_i$
• The Trilinear Higgs Self-Couplings at $\mathcal{O}({\alpha }_t^2)$ in the CP-Violating NMSSM
• Higgs Mass Predictions in the CP-Violating High-Scale NMSSM
• Refining two-loop corrections to trilinear Higgs couplings in the Two-Higgs-Doublet Model