We study the implication of triviality on Higgs sector in next to minimal supersymmetric model (NMSSM) using variational field theory. It is shown that the mass of the lightest Higgs boson in NMSSM has an upper bound ∼10M_W which is of the same order as that in the standard model.

Confinement model for gluons using a ‘colour super current’ is formulated. An attempt has been made to derive a suitable dielectric function corresponding to the current confinement. A simple inhomogeneous dielectric confinement model for gluons is studied for comparison. The model Hamiltonians are second quantized and the glueball states are constructed. The spurious motion of the centre of confinement is accounted for. The results of the current confinement scheme is found in good agreement with experimental candidates.

CP-violating rate asymmetry can be generated in a process only if its amplitude possesses an absorptive part. It is pointed out that such an absorptive part can be provided ine⁺e⁻ annihilation by the presence of aZ(Z′) resonance of non-zero width. The CP asymmetry in the process $$e^ + e^ - \to l_i \bar l\left( {l_i \bar l_j } \right)$$ , wherel_i are charged leptons, is discussed in several models. In a specific two-Z model, large and observable CP asymmetry ine⁺e⁻ →τ⁺e⁻ (τ⁻e⁺) is shown to be possible at LEP/SLC energies.

The known lower bound on the unstable photino mass gets invalidated by a gravitino lighter than 10⁻³ eV. Nevertheless, general bounds can be derived by feeding early universe constraints from the primary abundance of He⁴ and the extant lower bound on the gravitino mass into the lifetime for the decay photino → photon + gravitino. The mass-rangeO(100) eV toO(1) MeV is excluded.

We summarize here the recent results from the four experiments at the large electron positron collider (LEP). These experiments provide precise measurements of theW and Z boson properties and their couplings to leptons and quarks. These measurements, together with measurements of the top quark andW boson masses in the Tevatron collider provide a stringent test of the standard electroweak theory. Searches for Higgs boson and supersymmetric particles have yielded null results so far giving rise to lower bounds in the parameter space.