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Zeitschrift für Physik CISSN: 0170-9739 (printed version) Abstract Volume 73 Issue 1 (1996) pp 85-109 Double Higgs production at the linear colliders and the probing of the Higgs self-coupling
F. Boudjema, E. Chopin
Laboratoire de Physique Théorique ENSLAPP, B.P.110, F-74941 Annecy-Le-Vieux Cedex, France (URA 14-36 du CNRS, associée à l'E.N.S de Lyon et à l'Université de Savoie) (e-mail: boudjema@lapphp0.in2p3.fr, chopin@lapphp0.in2p3.fr) Received: 23 January 1996 / Revised version: 7 March 1996 Abstract. We study double Higgs production in the $e^+ e^-$ and $\gamma \gamma$ modes of the linear collider. It is also shown how one can probe the scalar potential in these reactions. We discuss the effective longitudinal $W$ approximation in $\gamma \gamma$ processes and the $W_L W_L$ luminosities in the two modes of a high-energy linear collider. A generalised non-linear gauge-fixing condition, which is particularly useful for tree-level calculations of electroweak processes for the laser induced collider, is presented. Its connection with the background-field approach to gauge fixing is given.
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