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Multivariate side-band subtraction using probabilistic event weights

M WilliamsCarnegie Mellon University, Pittsburgh, PA 15213, USAM BellisCarnegie Mellon University, Pittsburgh, PA 15213, USAC A MeyerCarnegie Mellon University, Pittsburgh, PA 15213, USA
2009en
ABI

Abstract

A common situation in experimental physics is to have a signal which can not be separated from a non-interfering background through the use of any cut. In this paper, we describe a procedure for determining, on an event-by-event basis, a quality factor ($Q$-factor) that a given event originated from the signal distribution. This procedure generalizes the "side-band" subtraction method to higher dimensions without requiring the data to be divided into bins. The $Q$-factors can then be used as event weights in subsequent analysis procedures, allowing one to more directly access the true spectrum of the signal.

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Cited by 20 references