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On the Anomalous Dimension of the Transversity Distribution $h_1(x,Q^2)$

Johannes Blümlein
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Abstract

We calculate the leading order anomalous dimension of the transversity structure function directly using three different methods, the local light-cone expansion in the forward case, the non-forward case, and the short-distance expansion of the forward Compton amplitude. Our results agree with the original calculation by Artru and Mekhfi [Z. Phys. {\bf 45} (1990) 669], which has been doubted recently. We also comment on the next-to-leading order anomalous dimension.

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Johannes Blümlein. 2001-05-15. On the Anomalous Dimension of the Transversity Distribution $h_1(x,Q^2)$. https://doi.org/10.1007/s100520100703

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