Transverse Spin Structure with Muon Beam and Drell-Yan Measurements at COMPASS

COMPASS (COmmon Muon and Proton Apparatus for Structure and Spectroscopy) is a fixed target experiment at the CERN SPS taking data since 2002. The spin nucleon structure has been investigated in the years 2002-2007, by scattering a 160 GeV muon beam off deuteron and proton targets polarised both longitudinally and transversely with respect to the beam direction. After two years of spectroscopy measurements with hadron beams in 2008 and 2009, the measurements with the muon beam and the polarised proton target will be resumed. In 2010 data will be collected with the proton target transversely polarised to further investigate the transverse spin effects in semi-inclusive deep inelastic scattering (SIDIS). On a longer time scale, the Collaboration plans to pursue the study of the transverse spin and momentum structure of the nucleon by measuring the Drell-Yan process on a transversely polarised target. The physics case and the expected outcome of both these measurements are described here.