We construct a real time current-conserving functional renormalization group (RG) scheme on the Keldysh contour to study frequency-dependent transport and noise through a quantum dot in the local moment regime. We find that the current vertex develop
s a non-trivial non-local structure in time, governed by a new set of RG equations. Solving these RG equations, we compute the complete frequency and temperature-dependence of the noise spectrum. For voltages large compared to the Kondo temperature, $eV gg k_BT_K$, two sharp anti-resonances are found in the noise spectrum at frequencies $hbar omega = pm e V$, and correspondingly, two peaks in the ac conductance through the dot.
