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arXiv · hep-ph/9603338

Renormalization of Twist-4 Operators in QCD Bjorken and Ellis-Jaffe Sum Rules

Hiroyuki Kawamura·Tsuneo Uematsu·Yoshiaki Yasui·Jiro Kodaira
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Abstract

The QCD effects of twist-4 operators on the first moment of nucleon spin-dependent structure function $g_1(x, Q^2 )$ are studied in the framework of operator product expansion and renormalization group method. We investigate the operator mixing through renormalization of the twist-4 operators including those proportional to the equation of motion by evaluating off-shell Green's functions in the usual covariant gauge as well as in the background gauge. Through this procedure we extract the one-loop anomalous dimension of the spin 1 and twist-4 operator which determines the logarithmic correction to the $1/Q^2$ behavior of the contribution from the twist-4 operators to the first moment of $g_1(x,Q^2)$.

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Hiroyuki Kawamura, Tsuneo Uematsu, Yoshiaki Yasui, Jiro Kodaira. 1996-11-12. Renormalization of Twist-4 Operators in QCD Bjorken and Ellis-Jaffe Sum Rules. https://doi.org/10.1142/s0217732397000133

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