epsf.sty

**Predictions from conformal algebra for the**

**deeply virtual Compton scattering.**

**A.V. Belitsky**

*Bogoliubov Laboratory of Theoretical Physics*

*Joint Institute for Nuclear Research*

*141980, Dubna, Russia*

*and*

*Institut für Theoretische Physik*

*Universität Regensburg*

*D-93040 Regensburg, Germany*

**D. Müller**

*Institute for Theoretical Physics*

*Center of Theoretical Science*

*Leipzig University*

*04109 Leipzig, Germany*

**Abstract**

Basing on the constraint equalities which arise from the algebra of the collinear conformal group and the conformal operator product expansion, we predict the solutions of the leading order evolution equations for the non-forward distributions, including transversity, in terms of the conformal moments; next-to-leading order flavour singlet coefficient functions for the polarized and unpolarized deeply virtual Compton scattering; as well as the contribution from renormalon chains to the eigenfunctions of the exclusive non-singlet evolution kernel.

Introduction.
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It is well known that the conformal twist-2 operators possess at leading order (LO) a diagonal anomalous dimension matrix $\hat{\gamma}=\{\gamma_{jj'}\}$, which is, in general, triangular due to Lorentz invariance. One may expect that in the conformal limit of the theory ($\beta = 0$) the former property will be fulfilled beyond one-loop order; however, this is not the case and the conformal operators mix already in the next-to-leading order (NLO) of perturbation 