Amplitudes in fishnet theories in diverse dimensions and box ladder diagrams

Abstract

Abstract We investigate properties of four-point colour ordered scattering amplitudes in D = 6 fishnet CFT. We show that these amplitudes are related via a very simple relation to their D = 4 counterparts previously considered in the literature. Exploiting this relation, we obtain a closed expression for these amplitudes and investigate its behaviour at weak and strong coupling. As a by product of this investigation, we also obtain a generating function for on-shell D = 6 Box ladder diagrams with l rungs.

Keywords

• Conformal Field Theory
• Scattering Amplitudes
• Field Theories in Higher Dimensions
• Integrable Field Theories