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The neutral Higgs sector of the next-to-minimal supersymmetric standard model(NMSSM) with explicit CP violation is investigated at the 1-loop level, usingthe effective potential method; not only the loops involving the thirdgeneration of quarks and scalar quarks, but also the loops involving $W$ boson,charged Higgs boson, and chargino are taken into account. It is found that forsome parameter values of the NMSSM the contributions from the $W$ boson,charged Higgs boson, and chargino loops may modify the masses of the neutralHiggs bosons and the mixings among them significantly, depending on the CPphase. In $e^+e^-$ collisions, the prospects for discovering neutral Higgsbosons are investigated within the context of the NMSSM with explicit CPviolation when the dominant component of the lightest neutral Higgs boson isthe Higgs singlet field of the NMSSM.Comment: Latex, 23 pages, 6 figure

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

Neutral Higgs sector of the next-to-minimal supersymmetric standard model with explicit<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>violation

Neutral Higgs sector of the next-to-minimal supersymmetric standard model with explicitCPviolation