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We propose a new test statistic based on a score process for determining thestatistical significance of a putative signal that may be a small perturbationto a noisy experimental background. We derive the reference distribution forthis score test statistic; it has an elegant geometrical interpretation as wellas broad applicability. We illustrate the technique in the context of a modelproblem from high-energy particle physics. Monte Carlo experimental resultsconfirm that the score test results in a significantly improved rate of signaldetection.Comment: 5 pages, 4 figure

New Technique for Finding Needles in Haystacks: Geometric Approach to Distinguishing between a New Source and Random Fluctuations