Jets at high energy colliders are complicated objects to identify. Even if jets are widely separated, there is no reason for jets to have the same size. A single reconstruction, or interpretation, of each event can only extract a limited amount of information. Motivated by the recently proposed Qjet algorithms, which give multiple interpretations for each event using nondeterministic jet clustering, we propose a simple, fast and powerful method to give multiple event interpretations by varying the parameter R in the jet definition. With multiple interpretations we can redefine the weight of each event in a counting experiment to be the fraction of interpretations passing the experimental cuts, instead of 0 or 1 in a conventional analysis. We show that the statistical power of an analysis can be dramatically increased. In particular, we can have a 46% improvement in the statistical significance for the Higgs search with an associated Z boson (ZH → ννbb) at the 8 TeV LHC.Jets are manifestations of the underlying colored partons in hard scattering processes. In order to reconstruct hard processes and uncover physics at high energy, jets are key objects to identify in high energy collider experiments. The conventional way to identify jets is to use clustering algorithms [1][2][3][4][5], where a parameter R sets an artificial jet size. The constituents of each reconstructed jet are those particles within an angular scale R away from the jet direction. This is particularly true for the anti-k T algorithm because it gives almost perfect cone jets in the calorimeter pseudorapidity-azimuthal angle (η-φ) plane. On the other hand, a jet is a distinct structure in its own right with many collinear particles. The width of the localized energy distribution of the jet in the η-φ plane is an independent quantity and should be distinguished from the parameter R (FIG. 1).Because the formation of jets is quantum mechanical and probabilistic, the widths of jets are always different (FIG. 2). To reconstruct partonic kinematics we should pick a large enough R so that most of the radiation emitted by the partons is enclosed. However, with a large R more radiation contamination will be included. We can R is an artificial distance scale introduced to define the calorimeter region we want to look at. The jet axis points in the direction of the dominant energy flow, and the precise direction is not essential here.