Anomalous Magnetic Moments from Asymptotic Safety
Gudrun Hiller, Clara Hormigos-Feliu, Daniel F. Litim, Tom Steudtner

TL;DR
This paper explores how asymptotic safety-inspired models with an extended scalar sector and Yukawa couplings can naturally explain anomalies in muon and electron magnetic moments, predict tau anomalies, and suggest new TeV-scale particles.
Contribution
It demonstrates that asymptotic safety frameworks can account for lepton magnetic moment deviations without breaking lepton universality and predicts observable collider signatures.
Findings
Models stabilize the Higgs at high energies.
Muon and electron anomalies explained without lepton universality breaking.
Predicted tau magnetic moment and TeV-scale new particles.
Abstract
The measurements of the muon and electron anomalous magnetic moments hint at physics beyond the standard model. We show why and how models inspired by asymptotic safety can explain deviations from standard model predictions naturally. Our setup features an enlarged scalar sector and Yukawa couplings between leptons and new vector-like fermions. Using the complete two-loop running of couplings, we observe a well-behaved high energy limit of models including a stabilization of the Higgs. We find that a manifest breaking of lepton universality beyond standard model Yukawas is not necessary to explain the muon and electron anomalies. We further predict the tau anomalous magnetic moment, and new particles in the TeV energy range whose signatures at colliders are indicated. With small CP phases, the electron EDM can be as large as the present bound.
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