Off-diagonal parton distributions and their evolution
Abstract
We analyse the relation between the off-forward parton distributions defined by Ji and the non-forward distributions introduced by Radyushkin. We construct the non-forward distributions starting from the off-forward distributions of Ji. We emphasize the particular role played by the symmetry relations in the ERBL-like region. We find that the existing evolution equations for the non-forward distributions must be modified to fully incorporate these symmetries. We present numerical results of the evolution, and verify that the analytic asymptotic forms of the parton distributions are reproduced. Moreover we clarify the singularity structure of the basic amplitude written in terms of the non-forward distributions.Keywords
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