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In this article we discuss the measurement of spin at the LHC, in events withtwo unknown four-momenta. Central to this problem is the identification ofspin-dependent kinematic variables and the construction of a statistical testthat can distinguish between different spin hypotheses. We propose a method forreconstructing kinematic variables that depend upon the unknown momenta. Themethod is based upon a probabilistic reconstruction of each event, given themasses of the final and intermediate states and the cross-section of theassumed hypothesis. We demonstrate that this method can distinguish between twospin hypotheses for a specific process, even after mass uncertainties andStandard Model backgrounds are taken into account. We compare our method withanother that only utilises the observable momenta of each event. We will showthat our method permits an improved discrimination between hypotheses, with areduced probability of error.

Reconstructing events with missing transverse momentum at the LHC and its application to spin measurement