Four-point amplitudes in $\mathcal{N}=2$ SCQCD

TL;DR

This paper calculates four-point scattering amplitudes in $ cal{N}=2$ SCQCD, revealing similarities with $ cal{N}=4$ SYM and identifying symmetry breaking effects due to fundamental matter.

Contribution

It provides the first detailed one- and two-loop amplitude computations in $ cal{N}=2$ SCQCD using $ cal{N}=1$ superspace techniques, highlighting integrability and symmetry breaking.

Findings

Exact agreement with $ cal{N}=4$ SYM in the pure adjoint sector at one loop.

Fundamental matter breaks dual conformal invariance at one loop.

Maximum transcendentality principle is broken at two loops by fundamental matter.

Abstract

We compute four-point scattering amplitudes in $\mathcal{N}=2$ SCQCD with general external matter configurations using $\mathcal{N}=1$ superspace Feynman diagrams, at one loop in the general case and up to two loops in the fundamental sector. In the pure adjoint sector at one loop we confirm exact agreement with the corresponding amplitudes in $\mathcal{N}=4$ SYM theory, supporting the idea that a closed subsector of the SCQCD might be exactly integrable. External matter in the fundamental representation breaks dual conformal invariance already at one loop and also the maximum transcendentality principle at two loops.