NLO QCD result for the gluon polarization from open charm $D^{0}$ meson production at COMPASS

One of the main goals of the COMPASS experiment is the measurement of the gluon contribution to the nucleon spin. Among the processes studied by COMPASS, open- charm $D^{0}$ meson production seems to be the cleanest channel for probing gluons in the energy range covered by the experiment. The gluon polarisation is related to the measured asymmetry for charmed mesons production via the analyzing power (asymmetry at the partonic level) calculated in the perturbative QCD frame. The analyzing power for the "photon-gluon fusion" process corresponds to a LO QCD approximation. The signicant improvement of the statistical precision and the new, nal LO result are presented . The NLO QCD corrections to the partonic cross sections (unpolarised and polarized ones) are now also included into the analysis scheme since these higher order contributions are not negligible. The preliminary NLO QCD result on the gluon polarisation based on a set of measured $D^{0}$ meson asymmetries in kinematical bins of the $D^{0}$ energy amd transverse momentum is presented.