Neutral Higgs boson masses of the MSSM at the one-loop level in an explicit CP violation scenario

The neutral Higgs sector of the minimal supersymmetric standard model in an explicit $\mathrm{CP}$ violation scenario is investigated at the one-loop level. Within the context of the effective potential formalism, the masses of the neutral Higgs bosons are calculated at the one-loop level by taking into account the contributions of the following loops of ordinary particles and superpartners: the top quark, the scalar top quarks, the bottom quark, the scalar bottom quarks, the tau lepton, the scalar tau leptons, the W boson, the charged Higgs boson, the charginos, the Z boson, the scalar and pseudoscalar Higgs bosons, and the neutralinos. Our calculation is an improvement in the sense that both the terms which are quartic in the electroweak coupling constants are taken into account, and the pseudoscalar Higgs loop contribution is explicitly included.