Anomalous dimensions of operators in polarized deep inelastic scattering at O(1/N_f)

Abstract

Critical exponents are computed for a variety of twist-2 composite operators, which occur in polarized and unpolarized deep inelastic scattering, at leading order in the 1/N_f expansion. The resulting d-dimensional expressions, which depend on the moment of the operator, are in agreement with recent explicit two and three loop perturbative calculations. An interesting aspect of the critical point approach which is used, is that the anomalous dimensions of the flavour singlet eigenoperators, which diagonalize the perturbative mixing matrix, are computed directly. We also elucidate the treatment of gamma^5 at the fixed point which is important in simplifying the calculation for polarized operators. Finally, the anomalous dimension of the singlet axial current is determined at O(1/N_f) by considering the renormalization of the anomaly in operator form.

22 latex pages plus 7 figures

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Cited by in corpus (25)

• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Anomalous dimensions of high-spin operators beyond the leading order
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• Predictions from conformal algebra for the deeply virtual Compton scattering
• Large-nf Contributions to the Four-Loop Splitting Functions in QCD
• The Theory of Deeply Inelastic Scattering
• The (alpha_s)^3 approximation of Quantum Chromodynamics to the Ellis-Jaffe sum rule
• The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
• Low moments of the four-loop splitting functions in QCD
• Heavy-Quark Fragmentation
• The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements
• On the quark distribution in an on-shell heavy quark and its all-order relations with the perturbative fragmentation function
• The interplay between Sudakov resummation, renormalons and higher twist in deep inelastic scattering
• Determination of the anomalous dimension of gluonic operators in deep inelastic scattering at O(1/N_f)
• Higher orders and IR renormalon phenomenology in DVCS
• The $N_f{C}_F^3$ contribution to the non-singlet splitting function at four-loop order
• Complete $N_f^2$ contributions to four-loop pure-singlet splitting functions
• Resummation of (-B(0) Alpha-s)**N Corrections to the Photon - Meson Transition Form-Factor Gamma* + Gamma ---> Pi0
• Taming the B --> X(s) gamma spectrum by Dressed Gluon Exponentiation
• Renormalon chains contributions to the non-singlet evolutional kernels in QCD
• A multiloop improvement of non-singlet QCD evolution equations
• Anomalous dimension of gluonic operator in polarized deep inelastic scattering at O(1/N_f)
• Anomalous dimension of non-singlet quark currents at O(1/Nf^2) in QCD
• On the n -> 0 limit of gamma_gg(a) in QCD
• Renormalization of gluonic leading-twist Operators in covariant Gauges