Amplitudes in fishnet theories in diverse dimensions and Box ladder diagrams

TL;DR

This paper explores four-point scattering amplitudes in six-dimensional fishnet conformal field theories, revealing their relation to four-dimensional cases, providing closed-form expressions, and analyzing their behavior at different couplings.

Contribution

It establishes a simple relation between D=6 and D=4 amplitudes, deriving closed-form expressions and generating functions for ladder diagrams in six dimensions.

Findings

Derived closed-form expressions for D=6 amplitudes

Established relation between D=6 and D=4 amplitudes

Generated functions for D=6 Box ladder diagrams

Abstract

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