Reconstruction of the Extended Gauge Structure from $Z^{\prime }$ Observables at Future Colliders

Abstract

The discovery of a new neutral gauge boson $Z^{\prime }$ with a mass in the TeV region would allow for determination of gauge couplings of the $Z^{\prime }$ to ordinary quarks and leptons in a model independent way. We show that these couplings in turn would allow us to determine the nature of the extended gauge structure. As a prime example we study the $E_6$ group. In this case two discrete constraints on experimentally determined couplings have to be satisfied. If so, the couplings would then uniquely determine the two parameters, $\tan \beta$ and $\delta$, which fully specify the nature of the $Z^{\prime }$ within $E_6$. If the $Z^{\prime }$ is part of the $E_6$ gauge structure, then for $M_{Z^{\prime }}=1$ TeV $\tan \beta$ and $\delta$ could be determined to around $10\%$ at the future colliders. The NLC provides a unique determination of the two constraints as well as of $\tan \beta$ and $\delta$, though with slightly larger error bars than at the LHC. On the other hand, since the LHC primarily determines three out of four normalized couplings, it provides weaker constraints for the underlying gauge structure.

14 pages LaTeX using RevTeX and psfig.sty. TeX source and 3 PS figures, tarred, compressed and uuencoded; also available via anonymous ftp to ftp://dept.physics.upenn.edu/pub/Cvetic/UPR-636-T/

References in corpus (7)

• Determination of $Z^{\prime }$ Gauge Couplings to Quarks and Leptons at Future Hadron Colliders
• Comparison of Discovery Limits for Extra Z Bosons at Future Colliders
• Diagnostic Power of Future Colliders for Z'Couplings to Quarks and Leptons: e+e- versus pp Colliders
• Model Independent $Z^{\prime }$ Constraints at Future $e^{+}{e}^{-}$ Colliders}
• Differentiating various extra $Z^{\prime }$'s at Future Colliders
• Model-Independent $Z^{\prime }$ Limits from Electron-Electron Collisions
• Extraction of Coupling Information From $Z^{\prime }\to jj$

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