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. We consider the diagrammatic difference with the corresponding process of \(\mathcal{N}\) = 4 SYM finding a nonvanishing result, which is a nontrivial 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. Moreover, our result does not exhibit uniform transcendentality weight, meaning that in the adjoint sector of \(\mathcal{N}\) = 2 SCQCD the maximum transcendentality principle is violated.
Author (s) Details
Marta Leoni
RGI S.P.A., Via San Gregorio 34, I-20124, Milano, Italy.
Andrea Mauri
IASON ITALIA S.R.L., Corso Europa 15, I-20122, Milano, Italy.
Alberto Santambrogio
INFN, Sezione di Milano, Via Celoria 16, I-20133, Milano, Italy.
Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v4/1039
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