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The choice of using exclusive N-jet channels (e.g., W+1 jet, W+2 jet, etc.) is attractive due to the difficulty of normalizing one such channel to the next in Monte Carlo event generators, which (at present) calculate the matrix elements for the individual exclusive channels. While the inclusive W+N-jet channels (e.g., W+3 or more jets) are more robust experimentally and (in principle) theoretically, many of the Tevatron's W +N-jet analyses of top quark properties are made in the exclusive W+1, W+2, etc., bins for this reason. Ideally, one would be able to work in the exclusive W+N-jet channels in a robust and precise way; hence the proposed ratio method.
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2, so that energy, momentum, and mass are all measured in GeV.
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By "inclusive" we mean counting the number of jets≥N for each N; by "exclusive" we mean counting exactly N jets.
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The proton and antiproton beams each consist of 36 bunches distributed around the 1-km radius Tevatron ring. Protonantiproton interactions occur when the two beam cross each other; more than one collision can occur in a single crossing. The time response of the detectors is typically such that the effects of multiple interactions are integrated over, with only partial discrimination between interactions being possible by reconstructing charged tracks to different vertex positions.
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0/γ* cases cancel, and hence an estimate of the expected precision on the ratio.
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54
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33751085775
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As the calorimeter response is calibrated by jet balancing in η the energy scales have a maximum excursion versus η of a few percent. It is this uncertainty times the difference in the jet η distributions that sets the limit on the contributions to the ratio from the jet energy scale.
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A more rigorous method would be appropriate at the time of an analysis of real data. See the following: M. Botje, Eur. Phys. J. C 14, 285 (2000);
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Of course it is possible that a new source feeds both numerator and denominator in equal proportion; in that case this method has no sensitivity.
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65
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85107713380
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note
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T distributions of W and Z production, and other quantities will also be better measured.
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