EFT description of the muon magnetic dipole moment

TL;DR

This paper uses Effective Field Theory to analyze the muon magnetic moment, incorporating one-loop corrections and operator matching, revealing only a limited set of SMEFT operators can explain the observed deviation from the Standard Model.

Contribution

It provides a detailed EFT framework for the muon magnetic moment, including one-loop renormalization and matching, highlighting the specific operators relevant for the deviation.

Findings

Limited SMEFT operators explain the muon g-2 deviation.

One-loop renormalization group improved calculations performed.

Operator coefficients linked to experimental discrepancy.

Abstract

An Effective Field Theory (EFT) analysis of the magnetic moment of the muon is discussed. The expression for the dipole moment is given in terms of operator coefficients of the low-energy effective field theory (LEFT) and the Standard Model effective field theory (SMEFT), where one-loop renormalization group improved perturbation theory, the one-loop matching from SMEFT onto LEFT as well as one-loop lepton matrix elements of the effective-theory operators were taken into account. Interestingly only a very limited set of the SMEFT operators is able to explain the current deviation of the magnetic moment of the muon from its Standard Model expectation.