Phenomenology of the heavy BH in a littlest Higgs model -: art. no. 115010

We comprehensively study in the littlest Higgs model the phenomenology of the heavy U(1) gauge boson B-H, which is the lightest of the newly introduced heavy gauge bosons and toplike vector quarks. Some unexpected behavior is that in the parameter space where the mass of B-H is minimized the corrections to the electroweak precision observables are also suppressed. For the global symmetry breaking scale fless than or similar to3 TeV, the B-H is light enough to be produced at a 500 GeV linear collider. We show that this light B-H is not excluded by the direct search for the neutral heavy gauge boson at the Fermilab Tevatron in a large portion of the parameter space. Furthermore, even the light B-H with a mass around 200 GeV yields negligible contributions to the muon anomalous magnetic moment, which is consistent with the current inconclusive status of the theoretical calculation of (g-2)(mu) in the standard model. The effects of the littlest Higgs model on the e(+)e(-)-->mu(+)mu(-) process are also studied; this is one of the most efficient processes to probe the B-H.