Structure of two-loop SMEFT anomalous dimensions via on-shell methods

Zvi Bern, Julio Parra-Martinez, Eric Sawyer
2020 Journal of High Energy Physics  
We describe on-shell methods for computing one- and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used as inputs to the computation of two-loop anomalous dimensions, and we explain how the structure of rational terms and judicious renormalization scheme choices can lead to additional vanishing terms in the anomalous dimension matrix at two loops. We describe
more » ... e two-loop implications for the Standard Model Effective Field Theory (SMEFT). As a by-product of this analysis we verify a variety of one-loop SMEFT anomalous dimensions computed by Alonso, Jenkins, Manohar and Trott.
doi:10.1007/jhep10(2020)211 fatcat:awyli4wgmvaopntmtrm6jvrp2a