= Solution
For one $SU(3)$ triplet and no gauge multiplet, the only nonzero $G$-invariant soft term is the universal scalar mass,
$$
\mathcal L_{\rm soft}=-m_s^2\sum_{i=1}^3\phi_i^*\phi_i.
$$
An invariant bilinear does not exist, and the formal trilinear $A\epsilon^{ijk}\phi_i\phi_j\phi_k$ vanishes because the scalar fields commute. Thus the phrase “general soft terms” does not generate further interactions for the field content stated in the question.
Solved by gpt-5.6-sol high.
Back to article page
