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The phenomenology of the explicit CP violation in the Higgs sector of thenext-to-minimal supersymmetric standard model (NMSSM) is investigated, withemphasis on the charged Higgs boson. The radiative corrections due to bothquarks and scalar-quarks of the third generation are taken into account, andthe negative result of the search for the Higgs bosons at CERN LEP2, with thediscovery limit of 0.1 pb, is imposed as a constraint. It is found that thereare parameter regions of the NMSSM where the lightest neutral Higgs boson mayeven be massless, without being detected at LEP2. This implies that the LEP2data do not contradict the existence of a massless neutral Higgs boson in theNMSSM. For the charged Higgs boson, the radiative corrections to its mass maybe negative in some parameter regions of the NMSSM. The phenomenological lowerbound on the radiatively corrected mass of the charged Higgs boson is increasedas the CP violation becomes maximal, i.e., as the CP violating phase becomes$\pi/2$. At the maximal CP violation, its lower bound is about 110 GeV for 5$\leqslant \tan \beta \leqslant$ 40. The vacuum expectation value (VEV) of theneutral Higgs singlet is shown to be no smaller than 16 GeV for any parametervalues of the NMSSM with explicit CP violation. This value of the lower limitis found to increase up to about 45 GeV as the ratio ($\tan \beta$) of the VEVsof the two Higgs doublets decreases to smaller values ($\sim$ 2). The discoverylimit of the Higgs boson search at LEP2 is found to cover about a half of thekinematically allowed part of the whole parameter space of the NMSSM, and theportion is roughly stable against the CP violating phase.Comment: Latex, 24 pages, 6 figure

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

Charged Higgs boson in 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

Charged Higgs boson in the next-to-minimal supersymmetric standard model with explicitCPviolation