The Standard Model Effective Field Theory and Next to Leading Order

TL;DR

This paper reviews the progress in calculating next-to-leading order corrections in the Standard Model Effective Field Theory, which is crucial for reducing theoretical uncertainties and analyzing potential new physics signals at the LHC.

Contribution

It provides a comprehensive overview of the methods and recent advances in extending SMEFT calculations beyond leading order, emphasizing their importance for precision physics.

Findings

NLO calculations improve the accuracy of SMEFT interpretations.

Advances in NLO SMEFT calculations have been achieved to date.

Implementing NLO in SMEFT enhances the analysis of experimental data.

Abstract

We review the status of calculations in the Standard Model Effective Field Theory (SMEFT) beyond leading order (LO). Improving the SMEFT beyond LO allows theoretical errors to be characterized and reduced when considering SMEFT interpretations of the data, which is essential considering the improving experimental precision at LHC. Next to leading order results also allow a more consistent analysis of measurements with different effective scales in the SMEFT. Going beyond LO is clearly important in the event that deviations from the SM are large enough that experimental indications of physics beyond the SM emerge. We discuss a consistent and well defined approach to LO in the SMEFT, so that the improvement to NLO is straightforward. We discuss the basic issues involved in improving calculations to NLO in the SMEFT, and review the advances in this direction that have been achieved to date.