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

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

1996-08-30

arxiv.org/abs/hep-ph/9609207v1

Phys.Rev. D55 (1997) 3068-3076

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages LaTeX, 4 postscript figures

Scientific paper

10.1103/PhysRevD.55.3068

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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