Corrections to the processe+e−→bb¯in the topcolor assisted technicolor model

Abstract

In the framework of the topcolor assisted technicolor model we calculate the contributions from the pseudo Goldstone bosons and new gauge bosons to ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}b\overline{b}$. We find that, for reasonable ranges of the parameters, the top pions afford a dominate contribution, the corrections arising from technipions and new gauge bosons are negligibly small, the maximum of the total corrections is 43% with the c.m. energy $\sqrt{s}=500\text{ }\text{ }\mathrm{GeV}$; whereas in the case of $\sqrt{s}=1500\text{ }\text{ }\mathrm{GeV}$, the maximum of the relative corrections is only 3.1%. It might open a window to detect a topcolor assisted technicolor model in experiment of next generation linear colliders.