Full counting statistics for the Kondo dot in the unitary limit

We calculate the charge transfer probability distribution function $\chi (\lambda )$ for the Kondo dot in the strong coupling limit within the framework of the Nozi`{e}res–Fermi–liquid theory of the Kondo effect. At zero temperature, the ratio of the moments $C_n$ of the charge distribution to the backscattering current $I_{\mathrm{b}\mathrm{s}}$ follows a universal law $C_n/2I_{{\rm bs}}=(-1)^n(1+2^n)/6$\mathrm{.}Thefunctionalformof$\chi(\lambda)$ is consistent with tunnelling of electrons and, possibly, electron pairs. We then discuss the cross-over behaviour of $\chi (\lambda )$ from weak to strong Coulomb repulsion in the underlying Anderson impurity model and relate this to the existing results. Finally, we extend our analysis to the case of finite temperatures.