Dispersion relations and subtractions in hard exclusive processes

Details Dispersion relations and subtractions in hard exclusive processes Dispersion relations and subtractions in hard exclusive processes

2007-04-17

arxiv.org/abs/0704.2185v3

Phys.Rev.D76:056007,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, journal version

Scientific paper

10.1103/PhysRevD.76.056007

We study analytical properties of the hard exclusive processes amplitudes. We found that QCD factorization for deeply virtual Compton scattering and hard exclusive vector meson production results in the subtracted dispersion relation with the subtraction constant determined by the Polyakov-Weiss $D$-term. The relation of this constant to the fixed pole contribution found by Brodsky, Close and Gunion and defined by parton distributions is proved, while its manifestation is spoiled by the small $x$ divergence. The continuation to the real photons limit is considered and the numerical correspondence between lattice simulations of $D$-term and low energy Thomson amplitude is found.

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