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

E. Laenen; E. Levin; A. G. Shuvaev

doi:10.1016/0550-3213(94)90356-5

paper

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

arXiv:hep-ph/9308294 · doi:10.1016/0550-3213(94)90356-5

Abstract

The anomalous dimensions of high-twist operators in deeply inelastic scattering ( $γ_{2 n}$ ) are calculated in the limit when the moment variable $N \to 1$ (or $x_{B} \to 0$ ) and at large $Q^{2}$ (the double logarithmic approximation) in perturbative QCD. We find that the value of $γ_{2 n} (N - 1)$ in this approximation behaves as $\frac{N _{c} α _{S}}{π ( N - 1 )} n^{2} (1 + \frac{δ}{3} (n^{2} - 1))$ where $δ \approx 1 0^{- 2}$ . 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.

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

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

Abstract

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