A fake doublet solution to the muon anomalous magnetic moment

Abstract

Extensions to the Standard Model that use strictly off-shell degrees of freedom - the fakeons - allow for new measurable interactions at energy scales usually precluded by the constraints that target the on-shell propagation of new particles. Here we employ the interactions between a new fake scalar doublet and the muon to explain the recent Fermilab measurement of its anomalous magnetic moment. Remarkably, unlike in the case of usual particles, the experimental result can be matched for fakeon masses below the electroweak scale without contradicting the stringent precision data and collider bounds on new light degrees of freedom. Our analysis, therefore, demonstrates that the fakeon approach offers unexpected viable possibilities to model new physics naturally at low scales.

arXiv comment7 pages, 5 figures, PRD version

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• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• Type-X two Higgs doublet model in light of the muon $\mathbf{g}-2$: confronting Higgs and collider data
• A new quantization principle from a minimally non time-ordered product
• Purely virtual particles versus Lee-Wick ghosts: physical Pauli-Villars fields, finite QED and quantum gravity
• Massive Higher-Spin Multiplets and Asymptotic Freedom in Quantum Gravity
• Propagators and widths of physical and purely virtual particles in a finite interval of time
• Purely virtual extension of quantum field theory for gauge invariant fields: Yang-Mills theory
• Purely virtual extension of quantum field theory for gauge invariant fields: quantum gravity
• Purely Virtual Particles in Quantum Gravity, Inflationary Cosmology and Collider Physics
• Diagrammar of physical and fake particles and spectral optical theorem
• Dressed propagators, fakeon self-energy and peak uncertainty