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$(g-2)_{\ell}$ and LFV decays in a $U(1)_{L_{\mu} -L_{\tau}}$ left-right model with inverse seesaw neutrinos

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L. T. Hue, Vo Quoc Phong, T.D. Tham, N.H.T. Nha

High Energy Physics - Phenomenology · Submitted 30 Aug 2026 · 92 references

Pith's verdict: Solid and technically careful: the LFV suppression is genuinely symmetry-driven, but the (g-2) fit is a proof-of-existence with a few table typos.

T0 · AI review

How this review was made: An AI referee (deepseek/deepseek-v4-flash) read the paper on September 9, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

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arXiv ID2608.29697 (version 1)
Pith IDCXPETPCS, Pith's permanent record of this paper and its review
CitationL. T. Hue, N.H.T. Nha, T.D. Tham, Vo Quoc Phong. "$(g-2)_{\ell}$ and LFV decays in a $U(1)_{L_{\mu} -L_{\tau}}$ left-right model with inverse seesaw neutrinos." arXiv:2608.29697 (2026). https://pith.science/paper/CXPETPCS
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The paper

The paper claims

A left-right model with muon-tau symmetry can explain the muon and electron g-2 anomalies via a charged Higgs boson while universally suppressing all lepton-flavor-violating decays.

The reading

The anomalous magnetic moments of the electron and muon show small but persistent deviations from Standard Model predictions. Many beyond Standard Model theories try to explain these anomalies by adding new particles. This paper works within a specific left-right symmetric model that also contains a U(1) gauge symmetry acting only on muon and tau leptons. In this model, the authors calculate for the first time the full one-loop contributions from a heavy singly charged Higgs boson to the muon and electron magnetic moments. They find a chirally-enhanced term that can naturally produce corrections as large as the observed deviations, about 10^{-9} for the muon and 10^{-13} for the electron. An important consequence of the extra gauge symmetry is that the relevant Yukawa couplings are forced to be diagonal, which means that loop diagrams that would cause lepton-flavor-violating decays such as muon-to-electron gamma vanish in the dominant chirally-enhanced part. The remaining contributions from light active neutrinos are tiny, far below current experimental limits. The authors scan over the model parameters and show that there exist viable regions that simultaneously fit the magnetic moment data and keep all lepton-flavor-violating rates many orders of magnitude below current bounds. This makes the model consistent with all present experiments and gives a clear prediction: if lepton-flavor-violating decays are ever observed, this specific model would be ruled out.
Extended reading notes

Core claim

The LR one-loop contributions from singly charged Higgs bosons can give sizable contributions to Δa_{e,μ}, reaching values close to the current experimental sensitivities, namely Δa_μ ≃ 10^{-9} and Δa_e ∼ O(10^{-13}), while all one-loop contributions to lepton-flavor-violating decay amplitudes vanish for the chirally-enhanced part, leading to LFV rates far below current bounds.

Load-bearing premise

The assumption that the Yukawa matrices Y_ℓ and Ỹ_ℓ are diagonal, which follows from the U(1)_{Lμ-Lτ} charge assignments of the left-handed and right-handed leptons. This diagonality is responsible for the vanishing of the dominant chirally-enhanced LR contributions to LFV decays. If the symmetry were broken or the charge assignments were different, off-diagonal couplings would appear and could generate observable LFV rates, invalidating the central claim.

Original abstract

In the framework of a $U(1)_{L_{\mu} -L_{\tau}}$ left-right model with inverse seesaw neutrinos recently proposed, we show that one-loop contributions from heavy singly charged Higgs bosons to the anomalous magnetic moments of charged leptons $(g-2)_{e,\mu}$ can accommodate the observed discrepancies, of $10^{-9}$ and $\mathcal{O}(10^{-13})$ for the muon and electron, respectively. Meanwhile, all lepton-flavor violating decay rates for $h\to e_b^\pm e_a^\mp $, $Z\to e_b^\pm e_a^\mp$, and $e_b\to e_a \gamma$ are found to be highly suppressed as a consequence of the gauged $U(1)_{L_{\mu}-L_\tau}$ symmetry.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,603 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.17 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In the framework of a $U(1)_{L_{\mu} -L_{\tau}}$ left-right model with inverse seesaw neutrinos recently proposed, we show that one-loop contributions from heavy singly charged Higgs bosons to the anomalous magnetic moments of charged leptons $(g-2)_{e,\mu}$ can accommodate the observed discrepancies, of $10^{-9}$ and $\mathcal{O}(10^{-13})$ for the muon and electron, respectively. Meanwhile, all lepton-flavor violating decay rates for $h\to e_b^\pm e_a^\mp $, $Z\to e_b^\pm e_a^\mp$, and $e_b\to e_a \gamma$ are found to be highly suppressed as a consequence of the gauged $U(1)_{L_{\mu}-L_\tau}$ symmetry.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In the framework of a $U(1)_{L_{\mu} -L_{\tau}}$ left-right model with inverse seesaw neutrinos recently proposed, we show that one-loop contributions from heavy singly charged Higgs bosons to the anomalous magnetic moments of charged leptons $(g-2)_{e,\mu}$ can accommodate the observed discrepancies, of $10^{-9}$ and $\mathcal{O}(10^{-13})$ for the muon and electron, respectively. result 0.94 0.92 0.73 asserted 0.97
s1 Meanwhile, all lepton-flavor violating decay rates for $h\to e_b^\pm e_a^\mp $, $Z\to e_b^\pm e_a^\mp$, and $e_b\to e_a \gamma$ are found to be highly suppressed as a consequence of the gauged $U(1)_{L_{\mu}-L_\tau}$ symmetry. result 1.00 0.93 0.17 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.84.

What was examined, and what was not

sources read
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  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. FIG. 1: One-loop Feynman diagrams contributing to the decay amplitudes
Figure 2. FIG. 2: One-loop Feynman diagrams contributing to the LFV
Figure 3. FIG. 3: One-loop Feynman diagrams contributing to the LFV
Figure 5. show the correlations of |Y˜ a | 3 t 2 β , and tβ with ∆aea . + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +…

Showing 4 of the paper's 8 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:2608.29697 by the authors.

References
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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 49 sentences without a confident label

Uses the method or tool of 11 papers
Uses data or values from 31 papers
  • The current experimental data on $(g-2)_μ$ [ref] are consistent with the SM prediction [ref] , with $Δa_μ≡Δa^exp_μ= a^exp_μ -a^SM_μ =(3.8±6.3 ) ×10^-10$, which still allows for sizable values of $Δa_μ ≃10^-9$.

    The anomalous magnetic moment of the muon in the Standard Model: an update · Introduction · 0.99

  • The current experimental data on $(g-2)_μ$ [ref] are consistent with the SM prediction [ref] , with $Δa_μ≡Δa^exp_μ= a^exp_μ -a^SM_μ =(3.8±6.3 ) ×10^-10$, which still allows for sizable values of $Δa_μ ≃10^-9$.

    2506.03069 · Introduction · 0.99

  • The current experimental data on $(g-2)_μ$ [ref] are consistent with the SM prediction [ref] , with $Δa_μ≡Δa^exp_μ= a^exp_μ -a^SM_μ =(3.8±6.3 ) ×10^-10$, which still allows for sizable values of $Δa_μ ≃10^-9$.

    2308.06230 · Introduction · 0.99

Compares with 5 papers
Cites as background 18 papers

Discussion

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