The Higgs Boson Masses and Mixings of the Complex MSSM in the Feynman-Diagrammatic Approach
M. Frank, T. Hahn, S. Heinemeyer, W. Hollik, H. Rzehak, G. Weiglein
TL;DR
The paper addresses precise predictions for the Higgs-boson mass spectrum and mixings in the complex MSSM using a full one-loop Feynman-diagrammatic calculation with complete phase and momentum dependence. It develops a hybrid on-shell/DRbar renormalization framework, derives wave-function normalization and effective couplings, and incorporates higher-order corrections available for the real MSSM, including resummed tan$\beta$-enhanced bottom/sbottom effects, into FeynHiggs2.5. The study provides detailed renormalization prescriptions, analyzes CP-violating mixing among the heavier neutral Higgs states, and compares exact results to common approximations, highlighting sizable deviations. The results are implemented in the public code FeynHiggs 2.5, enabling accurate Higgs phenomenology in the cMSSM and informing experimental searches and parameter-space constraints.
Abstract
New results for the complete one-loop contributions to the masses and mixing effects in the Higgs sector are obtained for the MSSM with complex parameters using the Feynman-diagrammatic approach. The full dependence on all relevant complex phases is taken into account, and all the imaginary parts appearing in the calculation are treated in a consistent way. The renormalization is discussed in detail, and a hybrid on-shell/DRbar scheme is adopted. We also derive the wave function normalization factors needed in processes with external Higgs bosons and discuss effective couplings incorporating leading higher-order effects. The complete one-loop corrections, supplemented by the available two-loop corrections in the Feynman-diagrammatic approach for the MSSM with real parameters and a resummation of the leading (s)bottom corrections for complex parameters, are implemented into the public Fortran code FeynHiggs2.5. In our numerical analysis the full results for the Higgs-boson masses and couplings are compared with various approximations, and CP-violating effects in the mixing of the heavy Higgs bosons are analyzed in detail. We find sizable deviations in comparison with the approximations often made in the literature.