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We perform a systematic study of the production of a third-generationfermion-pair, $\mu^+\mu^-\to f\bar{f}$ for $f=\tau^-,b$, and t in the minimalsupersymmetric standard model (MSSM) with explicit CP violation, which isinduced radiatively by soft trilinear interactions related to squarks of thethird generation. We classify all the observables for probing the CP propertyof the Higgs bosons constructed by the initial muon beam polarization alongwith the unpolarized final fermions and with the final-fermion polarizationconfiguration of equal helicity, respectively. The observables allow forcomplete determination of CP property of the neutral Higgs bosons. Theinterference between the Higgs boson and gauge boson contributions also couldprovide a powerful method for the determination of the CP property of two heavyHiggs bosons in the top-quark pair production near the energy region of theHiggs-boson resonances. For the lightest Higgs-boson mass there is no sizableinterference between scalar and vector contributions for the determination ofthe CP property of the lightest Higgs boson. We give a detailed numericalanalysis to show how the radiatively-induced CP violation in the Higgs sectorof the MSSM can be measured.Comment: 30 pages, 7 figures including 5 eps ones. Typos corrected and  references added. To appear in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Probing the MSSM Higgs boson sector with explicit<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>violation through third generation fermion pair production at muon colliders

Probing the MSSM Higgs boson sector with explicitCPviolation through third generation fermion pair production at muon colliders