  We investigate the effects of voltage induced spin-relaxation in a quantum
dot in the Kondo regime. Using nonequilibrium perturbation theory, we determine
the joint effect of self-energy and vertex corrections to the conduction
electron T-matrix in the limit of transport voltage much larger than
temperature. The logarithmic divergences, developing near the different
chemical potentials of the leads, are found to be cut off by spin-relaxation
rates, implying that the nonequilibrium Kondo-problem remains at weak coupling
as long as voltage is much larger than the Kondo temperature.
