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

Yuji Koike·N. Nishiyama
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Abstract

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 $h_L$.

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Yuji Koike, N. Nishiyama. 1996-08-30. $Q^2$ evolution of chiral-odd twist-3 distribution $e(x,Q^2)$. https://doi.org/10.1103/physrevd.55.3068

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