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We propose a spectral decomposition to systematically extract information ofdark matter at hadron colliders. The differential cross section of events withmissing transverse energy (MET) can be expressed by a linear combination ofbasis functions. In the case of $s$-channel mediator models for dark matterparticle production, basis functions are identified with the differential crosssections of sub-processes of virtual mediator and visible particle productionwhile the coefficients of basis functions correspond to dark matter invariantmass distribution in the manner of the K\"all\'en-Lehmann spectraldecomposition. For a given MET data set and mediator model, we show that onecan differentiate a certain dark matter-mediator interaction from anotherthrough spectral decomposition.

Spectral Decomposition of Missing Transverse Energy at Hadron Colliders