Testing the littlest Higgs model withTparity in bottom quark pair production at high energy photon colliders

Abstract

We have calculated the cross section of the process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}\ensuremath{\rightarrow}b\overline{b}$ in the littlest Higgs model with $T$ parity (LHT). We find that, for the favorable parameters, the total cross section $\ensuremath{\sigma}({e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\ensuremath{\gamma}\ensuremath{\gamma}\ensuremath{\rightarrow}b\overline{b})$ is sensitive to the breaking scale $f$, mixing parameter ${x}_{L}$, the masses of the mirror quarks ${m}_{Hi}$, and the relative correction of the LHT model is a few percent to dozens of percent. The cross section is significantly larger than the corresponding results in the standard model and in the other typical new physics models. Therefore the prediction in the LHT model is quite different from the predictions in other new physics models and such a process is really interesting in searching for the signs of the LHT model.