Measuring the trilinear couplings of MSSM neutral Higgs bosons at high-energy e⁺e^- colliders

Abstract

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^-→ v_ev^-_eH, 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 Λ _Hhh and Λ _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.