In the MSSM with heavy SUSY particles and complex phases, the lightest Higgs mass can vary by up to about 20 GeV with the phase of the trilinear couplings, while its CP-odd admixture drops below 0.5% once the charged Higgs mass exceeds about 260 GeV.
Two-loop top-Yukawa-coupling corrections to the Higgs boson masses in the complex MSSM
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abstract
Results for the leading two-loop corrections of $\mathcal{O}{\left(\alpha_t^2\right)}$ from the Yukawa sector to the Higgs-boson masses of the MSSM with complex parameters are presented. The corresponding self-energies and their renormalization have been obtained in a Feynman-diagrammatic approach. A numerical analysis of the new contributions is performed for the mass of the lightest Higgs boson, supplemented by the full one-loop result and the $\mathcal{O}{\left(\alpha_t \alpha_s\right)}$ terms including complex phases. In the limit of the real MSSM a previous result is confirmed.
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Higgs-Boson Masses and Mixings in the MSSM with CP Violation and Heavy SUSY Particles
In the MSSM with heavy SUSY particles and complex phases, the lightest Higgs mass can vary by up to about 20 GeV with the phase of the trilinear couplings, while its CP-odd admixture drops below 0.5% once the charged Higgs mass exceeds about 260 GeV.