The $Q^2$ evolution of chiral-odd nucleon parton distributions $h_L(x)$ and $e(x)$ in multicolor QCD

We prove that the twist-3 chiral-odd parton distributions obey simple GLAP evolution equations in the limit $N_c\to\infty$ and give analytic results for the corresponding anomalous dimensions. To this end we introduce an evolution equation for the corresponding three-particle twist-3 parton correlation functions and find an exact analytic solution. For large values of $n$ (operator dimension) we are further able to collect all corrections subleading in $N_c$, so our final results are valid to $O(1/N_c^2\cdot \ln(n)/n)$ accuracy.