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We discuss a consistent treatment of the light-front gauge-boson and mesonwave functions in the analyses of the generalized parton distributions(GPDs)and the scattering amplitudes in deeply virtual Compton scattering(DVCS) forthe pion. The continuity of the GPDs at the crossover, where the longitudinalmomentum fraction of the probed quark is same with the skewedness parameter,and the finiteness of the DVCS amplitude are ensured if the same light-frontradial wave function as that of the meson bound state wave function is used forthe gauge boson bound state arising from the pair-creation(or nonvalence)diagram. The frame-independence of our model calculation is also guaranteed bythe constraint from the sum rule between the GPDs and the form factors.Comment: 14 pages, 9 figures, we (1) changed the title, (2) added references,  (3) discussed the GPD value at the crossover in Sec. III, version to appear  in Phys. Rev.

Continuity of generalized parton distributions for the pion virtual Compton scattering