${\mathit{Q}}^2$ Evolution of Chiral-Odd Twist-3 Distributions $h_L(\mathit{x},{\mathit{Q}}^2)$ and $\mathit{e}(\mathit{x},{\mathit{Q}}^2)$ in Large- $N_c$ QCD

We prove that the twist-3 chiral-odd parton distributions obey simple Gribov-Lipatov-Altarelli-Parisi 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 $O\left(\right({1/N}_c^2\left)\ln \right(n)/n)$ accuracy.