g\_D\^b f\_D\^[c]{} g\_D\^d Z\_[abcd]{},\[cov4\]\
Z\_[D6]{}&& f\_D\^[a]{} f\_D\^b f\_D\^[c]{} g\_D\^d Z\_[abcd]{},Z\_[D7]{}f\_D\^[a]{} g\_D\^b g\_D\^[c]{} g\_D\^d Z\_[abcd]{}.\[cov5\] That is, starting in a generic basis with a Higgs potential given by , one can always transform to the basis $\mathcal{B}_D$ with a Higgs potential given by: V\_H &=& Y\_[D\_1]{}H\_D\^H\_D + Y\_[D\_2]{} \_D\^\_D +\
&& + Z\_[D\_1]{} (H\_D\^H\_D)\^2 + Z\_[D\_2]{} (\_D\^\_D)\^2 + Z\_[D\_3]{} (H\_D\^H\_D) (\_D\^\_D) + Z\_[D\_4]{}(H\_D\^\_D) (\_D\^H\_D)\
&& + . \[VHD1\] The parameters $Y_{D1}, Y_{D2}, Z_{D1}, Z_{D2}, Z_{D3}$ and $Z_{D4}$ are manifestly real U(2)-invariants, whereas the parameters $Y_{D3}, Z_{D5}, Z_{D6}$ and $Z_{D7}$ are (potentially) complex pseudo-invariants with respect to U(2) basis transformations. The physical Higgs couplings and masses of the theory can be expressed in terms of the invariant parameters and invariant combinations of the pseudo-invariant parameters.

The discussion above is completely general. But, suppose we impose supersymmetry on the Higgs-higgsino-gaugino system. Supersymmetry imposes a very strong constraint on the quasi-physical bases, \[susyb\] \_U=\_D=\^\_U=\^\_[D]{}. That is, supersymmetry picks out a physically meaningful basis, namely the SUSY basis, in which the gaugino-higgsino-Higgs couplings take the form given by . impose covariant relations among the normalized gaugino-higgsino-Higgs couplings: \[susyfg\] g\_D\^a=g\_D\^[a]{}=e\^[i]{}f\_U\^a=e\^[i]{}f\_U\^[a]{},g\_U\^a=g\_U\^[a]{}=-e\^[i]{}f\_D\^a=-e\^[i]{}f\_D\^[a]{}, where $e^{i\eta}$ is a pseudo-invariant quantity \[i.e., $e^{i\eta}\to (\det~U)^{-1}e^{i\eta}$ under a U(2) transformation\] that is equal 