Higgs boson compositeness: from $e^{+}{e}^{-}\to ZH$ to $e^{+}{e}^{-}\to Z_L,W_L+anything$

Abstract

We assume that the Higgs doublet has a composite structure, respecting the main standard model properties, and therefore called Composite Standard Model (CSM), but leading (through Goldstone equivalence) to $Z_L$ and $W_L$ form factors. We illustrate how such a form factor affecting the $Z{Z}_{L}H$ coupling will be directly observable in $e^{+}{e}^{-}\to ZH$. We then show the spectacular consequences which would appear in the inclusive processes $e^{+}{e}^{-}\to Z_L+anything$. Such a form factor could also affect the $\gamma W_L^{+}{W}_L^{-}$ and $Z{W}_L^{+}{W}_L^{-}$ vertices and we show what effects this would generate in $e^{+}{e}^{-}\to W^{+}{W}^{-}$ (especially in $e^{+}{e}_R^{-}\to W_L^{+}{W}_L^{-}$) and in $e^{+}{e}^{-}\to W_L+anything$. We finally mention the $\gamma \gamma \to W^{+}{W}^{-}$ process and several other processes in hadronic collisions which could be similarly affected.

14 pages, 5 figures