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Kirill Semenov-Tian-Shansky (PNPI)
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On the equivalence of phenomenological representations of generalized parton distributions
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Phenomenological representations of generalized parton distributions (GPDs) implementing the non-trivial field theoretical requirements are employed in the present day strategies for extracting of hadron structure
information encoded in GPDs from the observables of hard exclusive reactions.
I will consider the mathematical aspects of establishing equivalence between the dual parametrization of GPDs and the Mellin-Barnes integral approach,
which are the two frameworks for handling the double partial wave (PW)expansion of GPDs in the conformal partial waves and in the cross-channel SO(3) partial waves.
I will present the relation between the GPD representations based on the conformal PW expansion and the double distribution representation of A.Radyushkin.
I will also discuss the J=0 fixed pole universality hypothesis of S.Brodsky and
the relation between the J=0 fixed pole contribution into the Compton scattering amplitude and the D-term form factor