The Recursive Jigsaw Reconstruction Technique

The observation of light super-partners from a supersymmetric extension to the Standard Model is an intensely sought-after experimental outcome, providing an explanation for the stabilization of the electroweak scale and indicating the existence of new particles which could be consistent with dark matter phenomenology. We introduce a new technique called the Recursive Jigsaw Reconstruction, a method for decomposing, event-by-event, measured quantities into a basis of complementary observables that can be used to develop more sensitive measurements and searches in collider experiments. In searches for supersymmetry where pair-produced sparticles decay into standard model particles and lightest supersymmetric partners, manifested as large missing transverse momentum, these observables provide sensitivity to scales in the event, evaluate visible decay products in estimations of their production frame and encode information about the particle properties (spin, CP etc) in angular variables. Herein, we introduce the technique, and discuss applying it to extract a collection of kinematic observables which can be used to probe compressed scenarios, in particular exploiting the correlation between missing momentum and that of radiative jets.