# Effective Field Theory of Chirally-Enhanced Muon Mass and Dipole Operators

## TL;DR

This paper explores how new physics models affecting muon properties create correlated deviations in Higgs decay to muons and muon dipole moments, offering a way to test or constrain such models.

## Contribution

It establishes a novel correlation between Higgs to muon decay and muon dipole moments within the Standard Model effective theory, aiding model classification and constraints.

## Key findings

- Correlation can potentially rule out entire models.
- Pattern of deviations helps classify new physics models.
- Upper bounds on new physics scale can be set.

## Abstract

We study corrections to observables related to the muon in the context of models of new physics which generate mass-enhanced corrections to the muon dipole moments. Working in the Standard Model effective theory, we demonstrate a correlation between the decay of the Higgs boson to muons, and the magnetic and electric dipole moments of the muon generated by the dominant matching corrections. This defines a novel way to classify predictions for a wide variety of models of new physics based on the pattern of deviations of these three observables. In particular, when applied to specific models we find that this correlation has a potential to rule out whole models or set upper bounds on the scale of new physics motivated by the muon anomalous magnetic moment.