Dispersive evaluation of the D-term form factor in deeply virtual Compton scattering

Abstract

We present a dispersive representation of the D-term form factor for hard exclusive reactions, using unsubtracted $t$-channel dispersion relations. The $t$-channel unitarity relation is saturated with the contribution of two-pion intermediate states, using the two-pion distributions amplitude for the ${\gamma }^{\ast }\gamma \to \pi \pi$ subprocess and reconstructing the $\pi \pi \to N\bar{N}$ subprocess from available information on pion-nucleon partial-wave helicity amplitudes. Results for the D-term form factor as function of $t$ as well as at $t=0$ are discussed in comparison with available model predictions and phenomenological parametrizations.

8 pages, 3 figures; improved presentation of the results; version to appear in Phys. Lett. B

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