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Abstract: Deeply Virtual Compton Scattering and electroproduction of mesons involveamplitudes that are analytic in energy. Analyticity enables DispersionRelations DR-s for such amplitudes, relating real and imaginary parts. Latelyit has been suggested that DR-s be applied to the integrated Generalized PartonDistributions that embody the spin-dependent soft, but factorizable part of thescattering. However, at non-zero momentum transfer, DRs require integrationover unphysical regions of the variables. We show that the relevant unphysicalregion of the non-forward DRs is considerable, vitiating efforts to avoid theactual measurement of the real parts more directly.



Author: Gary R. Goldstein Tufts U., Simonetta Liuti U. Virginia

Source: https://arxiv.org/







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