SIM(2) and supergraphs
Stanislav Petr\'a\v{s}, Rikard von Unge, Ji\v{r}\'i Voh\'anka
TL;DR
This paper develops Feynman rules and supergraph techniques in SIM(2) superspace, and applies them to analyze the one-loop effective action and renormalization of a Lorentz-violating supersymmetric Wess-Zumino model.
Contribution
It introduces a novel framework for supergraph calculations in SIM(2) superspace and demonstrates its application to a Lorentz-violating supersymmetric model.
Findings
Successful derivation of Feynman rules in SIM(2) superspace
One-loop effective action computed for the Lorentz-violating model
Discussion of the model's renormalization properties
Abstract
We construct Feynman rules and Supergraphs in SIM(2) superspace. To test our methods we perform a one-loop calculation of the effective action of the SIM(2) supersymmetric Wess-Zumino model including a term which explicitly breaks Lorentz invariance. The renormalization of the model is also discussed.
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