Higher Fock State Contributions to the Generalized Parton Distribution of Pion

We discuss the higher Fock-state (qqg) contributions to the nonzero value of the pion generalized parton distribution (GPD) at the crossover point x={zeta} between the DGLAP and ERBL regions. Using the phenomenological light-front constituent quark model, we confirm that the higher Fock-state contributions indeed give a nonzero value of the GPD at the crossover point. Iterating the light-front quark model wave function of the lowest qq Fock state with the Bethe-Salpeter kernel corresponding to the one-gluon exchange, we include all possible time-ordered qqg Fock-state contributions and obtain the pion GPD satisfying necessary sum rules and continuity conditions.