One-loop radiative corrections to the lightest Higgs scalar mass in the non-minimal supersymmetric standard model

We present a calculation of the one-loop radiative corrections to the mass squared matrix of the CP-even Higgs bosons in the non-minimal supersymmetric standard model containing two Higgs doublets and a Higgs singlet chiral superfield in the effective potential approximation. We find that the radiative corrections to the upper and lower bounds of the lightest Higgs boson are substantial and can push its mass beyond the reach of LEP. An absolute upper bound on the mass of the radiatively corrected lightest Higgs boson is also presented and compared with the corresponding bound in the minimal supersymmetric standard model