Leading QCD corrections to scalar quark contributions to electroweak precision observables

In the supersymmetric extension of the standard model we derive the two-loop QCD corrections to the scalar quark contributions to the electroweak precision observables entering via the $\rho$ parameter. A very compact expression is derived for the gluon-exchange contribution. The complete analytic result for the gluino-exchange contribution is very lengthy; we give expressions for several limiting cases that were derived from the general result. The two-loop corrections, generally of the order of 10%–30% of the one-loop contributions, can be very significant. Contrary to the standard model case, where the QCD corrections are negative and screen the one-loop value, the corresponding corrections in the supersymmetric case are in general positive, therefore increasing the sensitivity in the search for scalar quarks through their virtual effects in high-precision electroweak observables.