Abstract
The optimal observables with the best ratio of signal to statistical uncertainty are proposed for a bunch of popular models of the $Z'$ boson. They are the cross sections integrated over the phase space of the final particles with proper weight functions. It is shown that the proposed observables are completely equivalent to the $\chi^2$ fit of the differential cross section, so they could be used as an alternative of aggregating events into bins with further minimization of the $\chi^2$ function, especially in preliminary analysis of experimental data. Application of the observables to the maximum likelihood estimate of the $Z'$ mass and the $Z$--$Z'$ mixing angle as well as to the exclusion reach and statistical efficiency of the signal is investigated in details.
Highlights
The International Linear Collider (ILC) is discussed in the literature as a future experiment in high-energy physics [1]
We have considered a set of popular Z0 models in the annihilation leptonic process
We have investigated weighted integrated cross sections with the best ratio of the Z0 signal to statistical uncertainty
Summary
The International Linear Collider (ILC) is discussed in the literature as a future experiment in high-energy physics [1]. We propose an observable constructed by integration of the differential cross section over the scattering angle with a properly chosen weight function. In a model-independent approach, amplification of signals of the Z0 boson by means of the weighted integrated cross section was discussed in Ref. The proposed scheme might be considered as a convenient alternative of the analysis of the differential cross section in searches for the Z0 boson. We estimate the exclusion reach for the Z0 mass and compare the optimal observables with the popular approach of data fitting based on the forward-backward asymmetry
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