Measuring Trilinear Higgs Couplings in the MSSM

TL;DR

This paper explores how to measure the trilinear Higgs couplings in the MSSM at high-energy e^+e^- colliders, which is crucial for understanding the Higgs potential and the structure of the model.

Contribution

It identifies specific collider processes and parameter space regions where the trilinear Higgs couplings in the MSSM can be experimentally measured.

Findings

Measurement of bbf1 and b3f1 couplings is feasible in certain MSSM parameter regions.

Processes like e^+e^- f7 ZH, AH, and f7 u_e ar u_e H enable coupling measurements.

The study delineates the parameter space where these measurements are possible.

Abstract

Trilinear couplings of the neutral CP-even Higgs bosons in the Minimal Supersymmetric Standard Model (MSSM) can be measured through the multiple production of the lightest CP-even Higgs boson (h) at high-energy e^+e^- colliders. This includes the production of the heavier CP-even Higgs boson (H) via e^+e^- \to ZH, in association with the CP-odd Higgs boson (A) in e^+e^- \to AH, or via e^+e^- \to \nu_e \bar\nu_e H, with H subsequently decaying through H \to hh. 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.