Probing Gluon-Distribution Amplitudes Through GPDs At Large T

In inclusive processes with large momentum transfer, cross sections can be represented by the convolution of a perturbative hard kernel and nonperturbative quantities, either parton distribution function(PDF) or the transverse momentum dependent one(TMDPDF), according to factorization theorem. However, for exclusive processes only few of them have been proved to have a factorized formula. When they do have, the nonperturbative quantities are form factors, generalized parton distributions(GPDs), etc. GPDs is and not limited to a hybrid of usual parton distributions and form factors. So GPDs contain much information on the three-dimentional structure(longitudinal momentum and transverse space) of nucleons.Mostly GPDs are parametrized via various models or calculated on lattice. Several years ago P.Hoodbhoy et.al. found that at large momentum transfer limit, quark GPDs can be calculated perturbatively. In this thesis we generalize their result to gluonic helicity non-flip GPD H (x, ?, t). We studied both pion and proton cases. We found for both cases H (x, ?, t) can be represented as a convolution of hard kernel and leading twist light-cone distribution amplitudes at leading order. We got the analytical formular for the hard kernels. We take asymptotic model and CZ model for pion DA, and CZ/KS/GS model for proton DA, and achieved numerical results of H (x, ?, t) for different x, ? values for each model. These results may provide some implications for the construction of GPD models, and may be useful for the future study of gluon induced deep virtual meson production(DVMP) processes at very high energy.