DVCS and HEMP at COMPASS experiment for GPD studies

COMPASS is a fixed target experiment with a high energy muon beam from the SPS at CERN. One of the important aims of the experiment is to study  the 3D structure of the nucleon

from the point of view of Generalized Parton Distributions(GPD).  In the experiment, Deeply Virtual Compaton Scattering(DVCS) and Hard  Exclusive Meson Production(HEMP) processes have been studied intensively. Following the COMPASS setup ,  the experimental results obtained so far on the DVCS and the HEMP will be presented.  The results include the cross section of the DVCS and the exclusive neutral pion production and the transverse target spin asymmetries and  spin density matrix elements for the exclusive  production of rho and omega  mesons.  Based on the results on the t-slope of the DVCS,  we discuss about the transverse extenstion of partons in nucleon.  The results for the HEMP,  constraints for the GPD models are given.