标题： $Q^2$手征奇扭曲-3分布的演化$e(x,Q^2)$ 显示英文标题

标题： $Q^2$ evolution of chiral-odd twist-3 distribution $e(x,Q^2)$

摘要： 我们研究手征奇数的扭曲-3分布$e(x,Q^2)$的$Q^2$依赖性。对应扭曲-3算符的异常维矩阵在单圈层次上被计算出来。这项研究与已知的其他扭曲-3分布$g_2(x,Q^2)$和$h_L(x,Q^2)$的结果一起，完成了所有扭曲-3分布的异常维矩阵的计算。 我们还确认，在大$N_c$极限下，$Q^2$与$e(x,Q^2)$的演化完全由奇异维度矩阵的最低本征值所支配，其形式非常简单，如同$g_2$和$h_L$的情况一样。 显示英文摘要

摘要： We study the $Q^2$ dependence of the chiral-odd twist-3 distribution $e(x,Q^2)$.The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the anomalous dimension matrices for all the twist-3 distributions together with the known results for the other twist-3 distributions $g_2(x,Q^2)$ and $h_L(x,Q^2)$. We also have confirmed that in the large $N_c$ limit the $Q^2$-evolution of $e(x,Q^2)$ is wholely governed by the lowest eigenvalue of the anomalous dimension matrix which takes a very simple analytic form as in the case of $g_2$ and $h_L$.