Measuring the trilinear couplings of MSSM neutral Higgs bosons at high-energy e+e- colliders -: art. no. 055013

We present a detailed analysis of multiple production of the lightest CP-even Higgs boson (h) of the minimal supersymmetric standard model (MSSM) at high-energy e(+)e(-) colliders. We consider the production of the heavier CP-even Higgs boson (H) via Higgs-strahlung e(+)e(-)-->ZH, in association with the CP-odd Higgs boson (A) in e(+)e(-)-->AH, or via the fusion mechanism e(+)e(-)-->nu(e)<(nu)over bar>H-e, with H subsequently decaying through H-->hh, thereby resulting in a pair of lighter Higgs bosons (h) in the final state. These processes can enable one to measure the trilinear Higgs couplings lambda(Hhh) and lambda(hhh), which can be used to theoretically reconstruct the Higgs potential. We delineate the regions of the MSSM parameter space in which these trilinear Higgs couplings could be measured at a future e(+)e(-) collider. In our calculations, we include in detail the radiative corrections to the Higgs sector of the MSSM, especially the mixing in the squark sector. [S0556-2821(99)04203-4].