Anomalous Magnetic Moments from Asymptotic Safety

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.

5 pages, 4 figures; v2: explanations expanded and references added, conclusions unchanged; match with published version

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• General scalar renormalisation group equations at three-loop order
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• Data-driven study of the implications of anomalous magnetic moments and lepton flavor violating processes of $e$, $\mu$ and $\tau$
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• Stability of the Standard Model Vacuum with Vector-Like Leptons: A Critical Examination
• Muon g-2 and other observables in models with extended Higgs and matter sectors
• Semi-visible dark photon in a model with vector-like leptons for the $(g-2{)}_{e,\mu }$ and $W$-boson mass anomalies
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• Reappraisal of the minimal flavoured $Z^{\prime }$ scenario
• ARGES -- Advanced Renormalisation Group Equation Simplifier
• Lepton $g-2$ and $W$-boson mass anomalies in the DFSZ axion model
• Collider imprint of vector-like leptons in light of anomalous magnetic moment and neutrino data
• B-Anomalies from flavorful U(1)' extensions, safely
• Deep Learning Searches for Vector-Like Leptons at the LHC and Electron/Muon Colliders
• Almost relevant corrections for direct measurements of electron's g-factor
• Conformal Windows beyond Asymptotic Freedom
• Leptonic $g-2$ anomaly in an extended Higgs sector with vector-like leptons
• Can electron and muon $g-2$ anomalies be jointly explained in SUSY?
• Explaining lepton-flavor non-universality and self-interacting dark matter with $L_{\mu }-L_{\tau }$
• Excess of Tau events at SND@LHC, FASER$\nu$ and FASER$\nu$2
• Dark Matter and Muon $g-2$ Anomaly via Scale Symmetry Breaking
• Asymptotic safety guaranteed for strongly coupled gauge theories