One-loop non-renormalization results in EFTs
Abstract
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.
Cite
@article{arxiv.1412.7151,
title = {One-loop non-renormalization results in EFTs},
author = {J. Elias-Miro and J. R. Espinosa and A. Pomarol},
journal= {arXiv preprint arXiv:1412.7151},
year = {2016}
}
Comments
Corrections made in Sec. 3.2 and Fig. 5