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We calculate the Higgs-boson mass spectrum and the corresponding mixing ofthe Higgs states in the Minimal Supersymmetric Standard Model (MSSM). We assumea mass-hierarchy with heavy SUSY particles and light Higgs bosons. Toinvestigate this scenario, we employ an effective-field-theory approach with alow-energy Two-Higgs-Doublet Model (2HDM) where both Higgs doublets couple toup- as well as down-type fermions. We perform a one-loop matching of the MSSMto the 2HDM and evolve the parameters to the low energy scale by exploitingtwo-loop renormalization group equations, taking the complex parameters intoaccount. For the calculation of the pole mass, we compare three differentoptions: one suitable for large charged Higgs masses, one for low charged Higgsmasses, and one approximation that interpolates between these scenarios. Thephase dependence of the mass of the lightest neutral Higgs boson can besizeable, i.e. on the order of a couple of GeV depending on the scenario. Inaddition, we discuss the CP composition of the neutral Higgs bosons.

Higgs-Boson Masses and Mixings in the MSSM with CP Violation and Heavy SUSY Particles