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We present a new way to define and compute the maximum significanceachievable for signal and background processes at the LHC, using all availablephase space information. As an example, we show that a light Higgs bosonproduced in weak--boson fusion with a subsequent decay into muons can beextracted from the backgrounds. The method, aimed at phenomenological studies,can be incorporated in parton--level event generators and accommodateparametric descriptions of detector effects for selected observables.Comment: 7 pages, 2 figures, changes to wording and new references, published  versio

Maximum significance at the LHC and Higgs decays to muons