wilson: A package for renormalization group running in the SMEFT with Sterile Neutrinos

TL;DR

This paper introduces 'wilson', a Python package that automates the calculation of renormalization group equations for the $ u$SMEFT, enabling detailed studies of sterile neutrinos' effects across different energy scales.

Contribution

It presents the first automated code for solving RGEs of the $ u$SMEFT, including anomalous dimensions and separate running effects for EW, strong, and Yukawa interactions.

Findings

First implementation of $ u$SMEFT RGEs in an automated tool

Allows consistent inclusion of sterile neutrino effects in phenomenology

Enables separate analysis of EW, strong, and Yukawa running effects

Abstract

Sterile neutrinos are well-motivated beyond the Standard Model (BSM) particles. The Standard Model Effective Field Theory (SMEFT) augmented with these new fields is known as the $\nu$SMEFT. We present the first code for solving the renormalization group equations (RGEs) of the $\nu$SMEFT in an automated way. For this purpose, we have implemented the $\nu$SMEFT as a new effective field theory (EFT) in the Wilson coefficient exchange format WCxf. Furthermore, we included anomalous dimensions depending on the gauge couplings and Yukawas in the python package wilson. This novel version of wilson allows a consistent inclusion of $\nu$SMEFT renormalization group (RG) running effects above the electroweak (EW) scale in phenomenological studies involving sterile neutrinos. Moreover, this new release allows us to study EW, strong, and Yukawa running effects separately within the SMEFT.