{ "id": "hep-ph/9610422", "version": "v1", "published": "1996-10-20T05:02:43.000Z", "updated": "1996-10-20T05:02:43.000Z", "title": "$Q^2$ dependence of chiral-odd twist-3 distribution $e(x,Q^2)$", "authors": [ "Y. Koike", "N. Nishiyama" ], "comment": "latex, 3 pages, no figures, Talk presented at Spin'96", "categories": [ "hep-ph" ], "abstract": "We discuss 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 $h_L$.", "revisions": [ { "version": "v1", "updated": "1996-10-20T05:02:43.000Z" } ], "analyses": { "keywords": [ "distribution", "dependence", "anomalous dimension matrix", "chiral-odd", "simple analytic form" ], "note": { "typesetting": "LaTeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable", "inspire": 424849, "adsabs": "1996hep.ph...10422K" } } }