Two-Loop Running in the Bosonic SMEFT Using Functional Methods

Abstract

The next goalpost in precision calculations for physics beyond the Standard Model is determining the two-loop renormalization group (RG) equations in the Standard Model Effective Field Theory (SMEFT). We progress towards this goal by determining the RG equations for a simplified version of the SMEFT without any fermion fields. Our calculation relies on functional methods that are newly developed for multi-loop computations and adapted for the determination of RG equations here.

26 pages, 2 figures, 1 table, 1 ancillary file. v2: Matching published version. Improved discussion in Sec. 2, including a practical example of the R*-method. Included running of the theta terms