Eur. Phys. J. C 20, 683-687 (2001)
DOI: 10.1007/s100520100703

On the anomalous dimension of the transversity distribution h₁(x,Q²)

J. Blümlein

DESY-Zeuthen, Platanenallee 6, 15735 Zeuthen, Germany

johannes.bluemlein@desy.de

(Received: 14 April 2001 / Revised version: 14 April 2001 / Published online: 13 June 2001 -© Springer-Verlag / Società Italiana di Fisica 2001)

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. 45 (1990) 669], which has been doubted recently. We also comment on the next-to-leading order anomalous dimension.

© Società Italiana di Fisica, Springer-Verlag 2001