Renormalization of the SMEFT to dimension eight: Fermionic interactions I

Abstract

This is the third of a series of works (arxiv:2106.05291, arxiv:2205.03301) aimed at renormalizing the Standard Model effective field theory at one loop and to order $1/\hat{I}{›}^4$, with $\hat{I}›$ being the new physics cut-off. On this occasion, we concentrate on the running of two-fermion operators induced by pairs of dimension-six interactions. We work mostly off-shell, for which we obtain and provide a new and explicitly hermitian basis of dimension-eight Green's functions. All our results can be accessed in https://github.com/SMEFT-Dimension8-RGEs .

17 pages, 2 figures, complete results: https://github.com/SMEFT-Dimension8-RGEs