scalar potential.

\[sec:gaugino\_Higgs\_MSSM\]The gaugino-higgsino-Higgs interactions
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In the MSSM, the tree-level Lagrangian describing the interactions of the gauginos with the Higgs-doublets may be written as \[susygaugino\] [L]{}\_\^=\_[ij]{}\^i\_[H\_D]{} \^j\_[H\_U]{}+ \^\^\_[ij]{}(\^j\_[H\_U]{}\_2\^[i]{} +\^[ik]{}\^j\_[H\_D]{}\_1\^k) +\^(\^i\_[H\_U]{}\_2\^[i]{} -\^[ik]{}\^i\_[H\_D]{}\_1\^k)+[h.c.]{}, where $\lambda^\alpha$ and $\lambda'$ are the two-component spinor gaugino fields that are superpartners to the SU(2) and U(1)-hypercharge gauge bosons, and $\psi_{H_D}$ and $\psi_{H_U}$ are, respectively, the hypercharge $-1$ and hypercharge $+1$ weak doublet two-component spinor higgsino fields. The indices $i$, $j$ and $k$ label the two components of the weak doublet, and the index $\alpha$ is the adjoint index of the SU(2) gaugino field. We have included a supersymmetric Majorana mass term for the two-component higgsino fields, which defines the parameter $\mu$. As usual, $\epsilon^{12}=
-\epsilon^{21}=+1$ and $\epsilon^{11}=\epsilon^{22}=0$.

If we relax the constraints imposed by supersymmetry, the coupling strengths of the gaugino-higgsino-Higgs interaction above are no longer constrained to be gauge couplings as in . Moreover, four additional dimension-four interaction terms are possible, consistent with SU(2)$\times$U(1) gauge invariance. These terms are the so-called “wrong-Higgs” couplings of Ref. [@HM], and are obtained from those of by interchanging $\Phi_1$ and $\Phi_2$. In our analysis below, we consider the most general dimension-four gauge invariant couplings between the gaugino, higgsino and 