Two-parametric observables for Abelian $Z^{\prime }$ searching in $p\bar{p}$ collisions at Tevatron energies

Abstract

We propose a scheme of searches for the Abelian $Z^{\prime }$ gauge boson in the Drell-Yan process at $\sqrt{S}=1.96$ TeV. We base our considerations on renor\-ma\-li\-za\-tion-group relations between the $Z^{\prime }$ couplings to standard-model fermions. Considering the range of energies near the $Z$-boson peak, namely $66-116$ GeV for the invariant mass of a leptonic pair, we propose an integration scheme to construct two-parametric observables suitable for $Z^{\prime }$ searches in the $p\bar{p}\to l^{+}{l}^{-}$ scattering. The observables allow to constrain the $Z^{\prime }$ vector and axial-vector couplings to SM fermions in a general phenomenological parameterization with non-universal $Z^{\prime }$ interactions with fermion generations. We also consider the cases of generation-universal $Z^{\prime }$ boson and leptophobic $Z^{\prime }$ boson, and show that one-parametric observables exist for these scenarios. The research is aimed to supplement direct searches for $Z^{\prime }$ as an on-shell state in a specific set of new-physics models.

Comments: Added references and some supplemental info. Corrected "Z-Z' interference" to "Z-Z' mixing". Will be further updated and extended before for publishing. 12 pages, 6 figures, the paper is essentially rewritten arXiv:1209.5022 with many shortcomings corrected