Transverse Spin Effects and TMDs in Semi-Inclusive DIS from the COMPASS Experiment at CERN

The measurement of azimuthal single spin asymmetries in semi-inclusive deep-inelastic scattering (SIDIS) on a transversely polarized target is an important part of the COMPASS program, giving access to the transversity distribution functions as well as transverse momentum dependent distribution functions. After COMPASS took data in the years 2002- 2004 by scattering a 160 GeV$/c$ muon beam off a transversely polarized deuteron ($^{6}$LiD) target, in 2007 and 2010 additional data was collected on a transversely polarized proton (NH$_{3}$) target. In this contribution, the results of the 2007 measurements of the Collins and Sivers asymmetries in single hadron production as well as two-hadron asymmetries are presented.