Optimal one-parameter observables for $Z^{\prime }$ searches in $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ process

Abstract

To detect off-shell Abelian $Z^{\prime }$ boson in $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$, we propose one-parameter observables with the best value-to-uncertainty ratio. The observables are constructed by angular integration of the differential cross section with smooth weight functions. The value-to-uncertainty ratio is used as a criterion to select the unique weight function leading to the observable with the best statistical power for data analysis. The observables allow to select either vector or axial-vector $Z^{\prime }$ couplings to leptons. The obtained observable can be useful in future experiments at lepton colliders such as the ILC.

18 pages, 9 figures, 1 table

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Cited by in corpus (2)

• Optimal observables for $Z^{\prime }$ models in annihilation leptonic processes
• Exploring Fermionic Multiplet Dark Matter through Precision Measurements at the CEPC