Technicolor corrections tobb¯→W±πt∓at the CERN Large Hadron Collider

Abstract

In this paper we calculate the technicolor correction to the production of a charged top pion in association with a $W$ boson via $b\overline{b}$ annihilation at the CERN Large Hadron Collider in the context of the topcolor assisted technicolor model. We find that the cross section of $pp\ensuremath{\rightarrow}b\overline{b}\ensuremath{\rightarrow}{W}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}_{t}^{\ensuremath{\mp}}$ at the tree level can reach a few hundred femtobarns for reasonable ranges of the parameters, roughly corresponding to the result of the process $pp\ensuremath{\rightarrow}b\overline{b}\ensuremath{\rightarrow}{W}^{\ifmmode\pm\else\textpm\fi{}}{H}^{\ensuremath{\mp}}$ in the minimal supersymmetric standard model; the relative corrections arising from the one-loop diagrams are about a few percent to two dozen percent, and they will increase the cross section at the tree level. As a comparison, we also discuss the size of the hadron cross section via the other subprocess $gg\ensuremath{\rightarrow}{W}^{\ifmmode\pm\else\textpm\fi{}}{\ensuremath{\pi}}_{t}^{\ensuremath{\mp}}$.