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Motivated by evidence for the existence of dark matter, many new physicsmodels predict the pair production of new particles, followed by the decaysinto two invisible particles, leading to a momentum imbalance in the visiblesystem. For the cases where all four components of the vector sum of the two`missing' momenta are measured from the momentum imbalance, we present analyticsolutions of the final state system in terms of measureable momenta, with themass shell constraints taken into account. We then introduce new variableswhich allow the masses involved in the new physics process, including that ofthe dark matter particles, to be extracted. These are compared with a selectionof variables in the literature, and possible applications at lepton and hadroncolliders are discussed.

A novel technique for measuring masses of a pair of semi-invisibly decaying particles