Motivated by evidence for the existence of dark matter, many new physics models predict the pair production of new particles, followed by the decays into two invisible particles, leading to a momentum imbalance in the visible system. For the cases where all four components of the vector sum of the two 'missing' momenta are measured from the momentum imbalance, we present analytic solutions of the final state system in terms of measureable momenta, with the mass shell constraints taken into account. We then introduce new variables which allow the masses involved in the new physics process, including that of the dark matter particles, to be extracted. These are compared with a selection of variables in the literature, and possible applications at lepton and hadron colliders are discussed. Introduction.-If new physics (NP) is observed in collider experiments, the mass of the NP particles involved will be the first quantities to be measured. Motivated by the astrophysical evidence of dark matter, many theories beyond the Standard Model (SM) include a neutral dark matter (DM) candidate as the lightest of the new particles. In many of these models, the stability of the DM against decays into SM particles is enforced by a new (discrete) symmetry. Typically such symmetry implies that NP particles are pair produced in a collider, which subsequently cascade decay into a pair of DM particles that escape detection. An example is the minimal supersymmetric extension of the SM (MSSM) with R-parity.