Testing Supersymmetry in the Associated Production of CP-odd and Charged Higgs Bosons

In the Minimal Supersymmetric Standard Model (MSSM), the masses of the charged Higgs boson ($H^{\pm }$) and the CP-odd scalar ($A$) are related by $M_{H^{+}}^2=M_A^2+m_W^2$. Furthermore, because the coupling of $W^{-}$-$A$-$H^{+}$ is fixed by gauge interaction, the tree level production rate of $q \bar q’ \to W^{\pm \ast} \to A H^\pm$ depends only on one supersymmetry parameter --the mass ($M_A$) of $A$. We show that to a good approximation this conclusion also holds at the one-loop level. Consequently, this process can be used to distinguish MSSM from its alternatives (such as a general two-Higgs-doublet model) by verifying the above mass relation, and to test the prediction of the MSSM on the product of the decay branching ratios of $A$ and $H^{\pm }$ in terms of only one single parameter – $M_A$.