Abstract
Results for the leading two-loop corrections of $\mathcal{O}{\left(\alpha_t^2\right)}$ from the Yukawa sector to the Higgs-boson mass spectrum of the MSSM with complex parameters are presented, with details of the analytical calculation performed in the Feynman-diagrammatic approach using a mixed $\left.\text{on-shell}\middle/\,\overline{\text{DR}}\right.$ scheme that can be directly matched onto the higher-order terms in the code ${\tt FeynHiggs}$. Numerical results are shown for the masses and mixing effects in the neutral Higgs-boson sector and their variation with the phases of the complex parameters. Furthermore, the analytical expressions of the two-loop self-energies and the required renormalization constants are recorded. The new results can consistently be implemented in ${\tt FeynHiggs}$.
Highlights
Are consistent with the corresponding expectations for the Standard Model Higgs boson [3, 4]; on the other hand, a large variety of other interpretations is possible where the Higgs particle belongs to an extended model connected to physics beyond the Standard Model
Results for the leading two-loop corrections of O αt2 from the Yukawa sector to the Higgs-boson mass spectrum of the minimal supersymmetric Standard Model (MSSM) with complex parameters are presented, with details of the analytical calculation performed in the Feynman-diagrammatic approach using a mixed on-shell DR scheme that can be directly matched onto the higher-order terms in the code FeynHiggs
In the MSSM with complex parameters, the cMSSM, CP -violation is induced in the Higgs sector via loop contributions involving complex parameters from other SUSY sectors leading to mixing between h, H and A in the mass eigenstates [5, 6]
Summary
The two scalar SU(2)-doublets are conventionally expressed in terms of their components in the following way, H1. Explicit expressions for the tadpole coefficients Ti and for the mass matrices M can be found in ref. They are parametrized by the phase ξ, the real SUSY-breaking quantities m21,2 = m 21,2 + |μ|2, and the complex SUSY-breaking quantity m212 The latter can be redefined as real [51] with the help of a Peccei-Quinn transformation [52, 53] leaving only the phase ξ as a source of CP -violation at the tree-level. The tadpoles and the non-diagonal entries of the mass matrices vanish, M(h0H) AG = diag m2h, m2H , m2A, m2G , M(H0)±G± = diag m2H± , m2G± ,. M2A + MZ2 2 − 4m2AMZ2 c22β , including the vector-boson masses MW and MZ
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