Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering

J. A. Gracey

Paper

Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering

Abstract

We use the large N_f self consistency formalism to compute the

critical exponent corresponding to the renormalization of the flavour non-singlet twist two Wilson operators which arise in the operator product expansion of currents in deep inelastic processes. Expanding the

-dimensional expression in powers of

the coefficients of

agree with the known two loop structure of the corresponding renormalization group function and we deduce analytic expressions for all moments,

, at three and higher orders in perturbation theory in the

scheme at