Gauge-Higgs-fermion spin-spin effects at the Stanford Linear Collider (and CERN LEP)

We consider the various spin-spin effects in the processes $e^{+}$ $e^{\mathrm{-}}$→χ${̃}_i^0$χ${̃}_j^0$ and $e^{+}$ $e^{\mathrm{-}}$→χ${̃}_i^{+}$χ${̃}_j^{\mathrm{-}}$ at Stanford Linear Collider (SLC) energies, where χ${̃}_j^0$ and χ${̃}_j^{\pm }$ are gauge-Higgs fermions associated with the (minimal) supersymmetric extension of the standard ${\mathrm{SU}}_3^{\mathrm{c}}$×${\mathrm{SU}}_{2\mathrm{L}}$×${\mathrm{U}}_1$ model and are understood to decay in model-dependent ways. We argue that such effects may very well be visible at SLC (and CERN LEP) energies. We give a general theoretical apparatus for discussing these effects and assessing their various manifestations. We work out some illustrative examples of such manifestations.