Abstract
There has been a longstanding discrepancy between the experimental measurements of the electron and muon anomalous magnetic moments and their predicted values in the Standard Model. This is particularly relevant in the case of the muon $g\ensuremath{-}2$, which has attracted a remarkable interest in the community after the long-awaited announcement of the first results by the Muon $g\ensuremath{-}2$ collaboration at Fermilab, which confirms a previous measurement by the E821 experiment at Brookhaven and enlarges the statistical significance of the discrepancy, now at $4.2\ensuremath{\sigma}$. In this paper we consider an extension of the inverse type-III seesaw with a pair of vectorlike leptons that induces masses for neutrinos at the electroweak scale and show that one can accommodate the electron and muon anomalous magnetic moments, while being compatible with all relevant experimental constraints.
Highlights
The charged leptons anomalous magnetic moments, al 1⁄4 gl − 2; ð1Þ with l 1⁄4 e, μ, τ, are known to be powerful probes of new physics (NP) effects, potentially hidden in virtual loop contributions
This is relevant in the case of the muon g − 2, which has attracted a remarkable interest in the community after the long-awaited announcement of the first results by the Muon g − 2 collaboration at Fermilab, which confirms a previous measurement by the E821 experiment at Brookhaven and enlarges the statistical significance of the discrepancy, at 4.2σ
The same argument applies to the mixing with the charged components of the VL leptons, which enter at order ∼ðmR=MLÞ2
Summary
; ð1Þ with l 1⁄4 e, μ, τ, are known to be powerful probes of new physics (NP) effects, potentially hidden in virtual loop contributions. It is natural to investigate whether the model can account for the experimental values for the electron and muon anomalous magnetic moments in the region of parameter space that can reproduce the observed neutrino masses and leptonic mixing angles, measured in oscillation experiments, while being compatible with the bounds obtained at colliders and low-energy experiments. The ISS3 contributions are negative, making it impossible to address the existing discrepancy in the muon g − 2 This motivates a minimal extension of the model that keeps its most relevant features but provides additional ingredients to generate the required contributions to the electron and muon g − 2. After arguing that the pure ISS3 model cannot address the anomalies, we explore the parameter space of the ISS3VL model and obtain results for the electron and muon g − 2 compatible with the relevant experimental constraints. Appendixes A and B contain additional details, such as analytical expressions for the couplings of interest to our calculation and full expressions for the charged lepton anomalous magnetic moments
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