Limits on the quartic couplings $Z\gamma \gamma \gamma$ and $ZZ\gamma \gamma$ from $e^{+}{e}^{-}$ colliders

Abstract

We obtain limits on the quartic neutral gauge bosons couplings $Z\gamma \gamma \gamma$ and $ZZ\gamma \gamma$ using LEP 2 data published by the L3 Collaboration on the reactions $e^{+}{e}^{-}\to \gamma \gamma \gamma ,Z\gamma \gamma$. We also obtain $95\%$ C. L. limits on these couplings at the future linear colliders energies. The LEP 2 data induce limits of order $10^{-5}$ $Ge{V}^{-4}$ for the $Z\gamma \gamma \gamma$ couplings and of order $10^{-3}$ $Ge{V}^{-2}$ for the $ZZ\gamma \gamma$ couplings, which are still above the respective Standard Model predictions. Future $e^{+}{e}^{-}$ linear colliders may improve these limits by one or two orders of magnitude.

Comments: 13 pages, 7 figures. This article has been accepted for publication in Physical Review D