Optimal observables and phase-space ambiguities

Details Optimal observables and phase-space ambiguities Optimal observables and phase-space ambiguities

2004-07-20

arxiv.org/abs/hep-ph/0407224v2

Eur.Phys.J.C40:497-503,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 1 figure, minor changes in text

Scientific paper

10.1140/epjc/s2005-02153-9

Optimal observables are known to lead to minimal statistical errors on parameters for a given normalised event distribution of a physics reaction. Thereby all statistical correlations are taken into account. Therefore, on the one hand they are a useful tool to extract values on a set of parameters from measured data. On the other hand one can calculate the minimal constraints on these parameters achievable by any data-analysis method for the specific reaction. In case the final states can be reconstructed without ambiguities optimal observables have a particularly simple form. We give explicit formulae for the optimal observables for generic reactions in case of ambiguities in the reconstruction of the final state and for general parameterisation of the final-state phase space.

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