On the Amplitude/Wilson Loop duality in $\mathcal{N}=2$ SCQCD

Abstract

We compute the four-point amplitude with external adjoint particles in $\mathcal{N}=2$ SCQCD at two loops using $\mathcal{N}=1$ superspace Feynman diagrams, extending the results of arXiv:1406.7283. We consider the diagrammatic difference with the corresponding process of $\mathcal{N}=4$ SYM finding a non vanishing result, which is a non trivial function of the kinematic variables. This demonstrates that in $\mathcal{N}=2$ SCQCD, even in the sector with external particles in the vector multiplet, the amplitude/Wilson loop duality is inevitably broken at two loops.

17 pages; v2: a comment on the Regge limit of the final result and references added; v3: minor corrections; v4: published shorter version matching Phys.Lett. B standards

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