Anomalous Dimensions of High Twist Operators in QCD at $N \rightarrow 1$ and large $Q^2

Details Anomalous Dimensions of High Twist Operators in QCD at $N \rightarrow 1$ and large $Q^2 Anomalous Dimensions of High Twist Operators in QCD at $N \rightarrow 1$ and large $Q^2

1993-08-18

arxiv.org/abs/hep-ph/9308294v1

Nucl.Phys.B419:39-58,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

jytex (see macros directory), 18 pages , 9 figures, uuencoded at back of file, FERMILAB-PUB-93/243-T

Scientific paper

10.1016/0550-3213(94)90356-5

The anomalous dimensions of high-twist operators in deeply inelastic scattering ($\gamma_{2n}$) are calculated in the limit when the moment variable $N \rightarrow 1$ (or $x_B\rightarrow 0$) and at large $Q^2$ (the double logarithmic approximation) in perturbative QCD. We find that the value of $\gamma_{2n}(N-1)$ in this approximation behaves as ${N_c \alpha_S \over \pi (N-1)} n^2(1 + {\delta \over 3} (n^2-1))$ where $\delta \approx 10^{-2}$. This implies that the contributions of the high-twist operators give rise to an earlier onset of shadowing than was estimated before. The derivation makes use of a Pomeron exchange approximation, with the Pomerons interacting attractively. We find that they behave as a system of fermions.

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