Off-Shell Scattering Amplitudes for WW Scattering and the Role of the Photon Pole

Abstract

We derive analytic expressions for high energy $2\to 2$ off-shell scattering amplitudes of weak vector bosons. They are obtained from six fermion final states in processes of the type $e^{+}{e}^{-}\to {\bar{\nu }}_e+(WW)+{\nu }_e\to {\bar{\nu }}_e+(l\nu )(l\nu )+{\nu }_e$. As an application we reconsider the unitarity bounds on the Higgs mass. Particular attention is given to the role of the photon exchange which has not been considered in earlier investigations; we find that the photon weakens the bound of the Higgs mass.

16 pages, 8 figures

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• Six-fermion production and Higgs boson physics at future $e^{+}{e}^{-}$ colliders