Restricted conformal invariance in QCD and its predictive power for virtual two-photon processes
arXiv:hep-ph/9704406 · doi:10.1103/PhysRevD.58.054005
Abstract
The conformal algebra provides powerful constraints, which guarantee that renormalized conformally covariant operators exist in the hypothetical conformal limit of the theory, where the -function vanishes. Thus, in this limit also the conformally covariant operator product expansion on the light cone holds true. This operator product expansion has predictive power for two-photon processes in the generalized Bjorken region. Only the Wilson coefficients and the anomalous dimensions that are known from deep inelastic scattering are required for the prediction of all other two-photon processes in terms of the process-dependent off-diagonal expectation values of conformal operators. It is checked that the next-to-leading order calculations for the flavour non-singlet meson transition form factors are consistent with the corrections to the corresponding Wilson coefficients in deep inelasitic scattering.
RevTex, 29 pages, minor corrections
References in corpus (5)
- Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
- Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
- A Study of Off-Forward Parton Distributions
- Relating inclusive e+e- annihilation to electroproduction sum rules in Quantum Chromodynamics
- Renormalon chains contributions to the non-singlet evolutional kernels in and QCD
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