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We present a new way of performing hypothesis tests on scattering data, bymeans of a perturbatively calculable classifier. This classifier exploits the"history tree" of how the measured data point might have evolved out of anysimpler (reconstructed) points along classical paths, while explicitly keepingquantum-mechanical interference effects by copiously employing completeleading-order matrix elements. This approach extends the standard MatrixElement Method to an arbitrary number of final state objects and to exclusivefinal states where reconstructed objects can be collinear or soft. We haveimplemented this method into the standalone package HYTREES and have applied itto Higgs boson production in association with two jets, with subsequent decayinto photons. HYTREES allows to construct an optimal classifier to discriminatethis process from large Standard Model backgrounds. It further allows to findthe most sensitive kinematic regions that contribute to the classification.

HYTREES: Combining Matrix Elements and Parton Shower for Hypothesis Testing