  We analyze the nonequilibrium transport properties of a parallel double
quantum dot in terms of its full counting statistics (FCS). The parameters of
the setup are assumed to be such that both subsystems are driven into the Kondo
regime. After a series of transformations the Hamiltonian is then mapped onto a
Majorana resonant level model, which effectively describes the Toulouse point
of the respective double impurity two-terminal Kondo model. Its FCS is then
obtained at arbitrary constellation of voltage, temperature, and local magnetic
fields. We identify two different transport processes corresponding to single
electron tunneling as well as an electron pair process and give the respective
effective transport coefficients. In the most universal linear response regime
the FCS turns out to be of a binomial shape with an effective transmission
coefficient. Furthermore, we find a complete transport suppression
(antiresonance) at a certain parameter constellation, which is similar to the
one found in the noninteracting quantum dots. By an explicit expansion around
the Toulouse point we show that the antiresonance is universal and should be
observable in the generic Kondo dot setup. We discuss experimental implications
of our predictions as well as possible routes for generalizations of our
approach.
