Probing the gauge bosons $Z^{\prime }$ and $B^{\prime }$ from the Littlest Higgs model in the high-energy linear $e^{+}{e}^{-}$ colliders

Abstract

The littlest Higgs (LH) model predicts the existence of the new gauge bosons $Z^{\prime }$ and $B^{\prime }$. We calculate the contributions of these new particles to the processes $e^{+}{e}^{-}\to \bar{f}f$ with $f=\tau ,\mu ,b,$ or $c$ and study the possibility of detecting these new particles via these processes in the future high-energy linear $e^{+}{e}^{-}$ collider (LC) experiments with $\sqrt{s}=500GeV$ and ${\pounds }_{int}=340f{b}^{-1}$. We find that, with reasonable values of the parameter preferred by the electroweak precision data, the possible signals of these new particles might be detected. The $Z^{\prime }$ mass $M_{Z^{\prime }}$ can be explored up to $2.8TeV$ via the process $e^{+}{e}^{-}\to \bar{b}b$ for $0.3\le c\le 0.5$ and the $B^{\prime }$ mass $M_{B^{\prime }}$ can be explored up to $1.26TeV$ via the process $e^{+}{e}^{-}\to \bar{l}l$ for $0.64\le c^{\prime }\le 0.73$.

Comments: v3: 21 pages, 10 figures, references corrected to match version published in Nucl. Phys. B