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One-loop non-renormalization results in EFTs

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arxiv 1412.7151 v3 pith:CUHAJUBE submitted 2014-12-22 hep-ph hep-th

J. Elias-Miro , J. R. Espinosa , A. Pomarol This is my paper · ORCID
classification hep-phhep-th
keywords one-loopoperatorseftsmanyanomalousdimensionslevelsupersymmetry
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In Effective Field Theories (EFTs) with higher-dimensional operators many anomalous dimensions vanish at the one-loop level for no apparent reason. With the use of supersymmetry, and a classification of the operators according to their embedding in super-operators, we are able to show why many of these anomalous dimensions are zero. The key observation is that one-loop contributions from superpartners trivially vanish in many cases under consideration, making supersymmetry a powerful tool even for non-supersymmetric models. We show this in detail in a simple U(1) model with a scalar and fermions, and explain how to extend this to SM EFTs and the QCD Chiral Langrangian. This provides an understanding of why most "current-current" operators do not renormalize "loop" operators at the one-loop level, and allows to find the few exceptions to this ubiquitous rule.

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Cited by 3 Pith papers

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    Complete one-loop anomalous dimension matrix for a CP-violating ALP effective field theory, derived via on-shell unitarity methods and extended to dimension-6 SMEFT operators.

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