Bound on anomalous WWH couplings from W L + W L − →H→W L + W L − scattering

Abstract

Using the Goldstone-boson equivalence theorem, we compute the scattering W L + W L − →H→W L + W L − assuming anomalous WWH couplings. The most general Lorentz covariant WWH vertex contains oneCP-even and oneCP-odd arbitrary parameters. We show that for a centre-of-mass energy $$\sqrt s $$ ⩾M H 2 ,M W 2 the contribution to theJ=0 partial wave gives no constraint to this parameter. ForM W 2 ⩽ $$\sqrt s $$ ⩽M H 2 , in order that theJ=0 partial wave does not violate unitarity requires this parameter be in the interval (−4.8 Λ/M H 2 , +0.8 Λ/M H 2 ), where Λ is an energy scale.