Non-diagonal DVCS with spinless hadron-to-two-hadron transition
We present the formalism of hadron-to-two-hadron transition generalized parton distributions (GPDs) for spinless hadron case. Definitions of the twist-2 unpolarized and polarized transition GPDs are introduced with a particular choice of kinematic variables that characterize the produced two-pion system. In the vicinity of , we work out the two-pion decay angular distributions of the cross section, incorporating both the Bethe-Heitler and deeply virtual Compton scattering processes. Each cross section exhibits a distinctive angular distribution, which is sensitive to the polarization states of the produced resonance. In addition, we construct the double partial-wave expansion of transition GPDs in the two-pion decay angles as a generalization of GPDs for transition from a pion to a spin- resonance state. With the help of the Omnès representation, we constrain the transition GPDs in terms of the low energy scattering phase shift and build a phenomenological model for these GPDs.