3- and 2-body supersymmetric processes: predictions, challenges and prospectives

The processes subject of this talk are: 1) the 2 --> 3 processes contributing, together with the 2 --> 2 one to the hadron-collider production of a charged Higgs boson in association with a t-quark; 2) the 2 --> 2 and 2 --> 3 processes giving rise to the hadron-collider strahlung of a charged slepton from a t-quark in R_p-violating models in which lepton-number-violating trilinear couplings largely dominate over bilinear ones; 3) 3-body neutralino and chargino decays in similar R_p-violating scenarios. The significance of the R_p-violating processes is critically assessed against implications from neutrino physics. Contributions to neutrino masses arising at the tree level, at the one- and two-loop levels are reviewed. Comments are also made on the production of sneutrinos via gluon fusion and on the decay of sneutrinos into photons pairs, and on the influence that constraints from neutrino physics have on these processes.