NEUTRAL HIGGS BOSON PAIR-PRODUCTION AND TRILINEAR SELF-COUPLINGS IN THE MSSM AT ILC AND CLIC ENERGIES

We study pair-production as well as the triple self-couplings of the neutral Higgs bosons of the Minimal Supersymmetric Standard Model (MSSM) at the future International Linear e(+)e(-) Collider (ILC) and Compact Linear Collider (CLIC). The analysis is based on the reactions e(+)e- -> b (b) over barh(i)h(i), t (t) over barh(i)h(i), with h(i) = h, H, A. We evaluate the total cross-section for both b (b) over barh(i)h(i), t (t) over barh(i)h(i) and calculate the total number of events considering the complete set of Feynman diagrams at tree-level. We vary the triple couplings kappa lambda(hhh), kappa lambda(Hhh), kappa lambda(hAA), kappa lambda(HAA), kappa lambda(hHH) and kappa lambda(HHH) within the range kappa = -1 and +2. The numerical computation is done for the energies expected at the ILC with a center-of-mass energy 500, 1000, 1600 GeV and a luminosity 1000 fb(-1). The channels e(+)e(-) -> b (b) over barh(i)h(i) and e(+)e(-) -> t (t) over barh(i)h(i) are also discussed to a center-of-mass energy of 3 TeV and luminosities of 1000 fb(-1) and 5000 fb(-1).