Soft SUSY breaking
In theoretical physics, soft SUSY breaking is type of supersymmetry breaking that does not cause ultraviolet divergences to appear in scalar masses. Overview. These terms are relevant operators—i.e. operators whose coefficients have a positive dimension of mass—though there are some exceptions. A model with soft SUSY breaking was proposed in 1981 by Howard Georgi and Savas Dimopoulos. Before this, dynamical models of supersymmetry breaking were being used that suffered from giving rise to color and charge breaking vacua. Soft SUSY breaking decouples the origin of supersymmetry breaking from its phenomenological consequences. In effect, soft SUSY  breaking adds explicit symmetry breaking to the supersymmetric Standard Model Lagrangian. The source of SUSY breaking results from a different sector where supersymmetry is broken spontaneously. Divorcing the spontaneous supersymmetry breaking from the supersymmetric Standard Model leads to the notion of mediated supersymmetry breaking. Nonholomorphic Soft Supersymmetry Breaking Interactions. In low energy supersymmetry based models, the soft supersymmetry breaking interactions excepting the mass terms are usually considered to be holomorphic functions of fields. While a superpotential such as that of MSSM needs to be holomorphic, there is no reason why soft supersymmetry breaking interactions are required to be holomorphic functions  of fields. Of course, an arbitrary nonholomorphic interaction may invite an appearance of quadratic divergence (or hard supersymmetry breaking); however, there are scenarios with no gauge singlet fields where nonholomorphic interactions can as well be of soft supersymmetry breaking type. One may consider a hidden sector based supersymmetry breaking, with formula_1 and formula_2 to be chiral superfields. Then, there exist nonholomorphic formula_3-term contributions of the forms formula_4 that are soft supersymmetry breaking in nature. The above lead to nonholomorphic trilinear soft terms like formula_5 and an explicit Higgsino soft mass term like formula_6 in the Lagrangian. The coefficients of  both formula_7 and formula_6 terms are proportional to formula_9, where formula_10 is the vacuum expectation value of the auxiliary field components of formula_1 and formula_12is the scale of mediation of supersymmetry breaking. Away from MSSM, there can be higgsino-gaugino interactions like formula_13 that are also nonholomorphic in nature.