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arxiv: 2407.20615 · v2 · submitted 2024-07-30 · ✦ hep-ph · hep-ex

Prospects of five-dimensional L_μ-L_τ gauge interactions in the light of elastic neutrino-electron scatterings: The scope of the DUNE near detector

Dibyendu Chakraborty , Arindam Chatterjee , Ayushi Kaushik , Kenji Nishiwaki This is my paper

Pith reviewed 2026-05-23 22:38 UTC · model grok-4.3

classification ✦ hep-ph hep-ex
keywords five-dimensional modelsLμ-Lτ gauge symmetryneutrino-electron scatteringDUNE experimentmuon g-2 anomalyextra dimensionskinetic mixing
0
0 comments X

The pith

Five-dimensional Lμ-Lτ gauge bosons can be probed by DUNE neutrino-electron scatterings even with small kinetic mixing.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines a minimally five-dimensional extension of the standard model by the U(1) Lμ-Lτ gauge symmetry. Multiple massive gauge bosons appear in this setup and contribute to the muon anomalous magnetic moment as well as to elastic neutrino-electron scatterings. The authors calculate that several years of data from the DUNE near detector can access much of the parameter space, including regions that resolve the muon g-2 discrepancy. Interference between the different gauge boson states is central to the predicted signals. This matters because it identifies a concrete experimental channel to test new physics at the MeV scale with an upcoming neutrino facility.

Core claim

In the minimally five-dimensional U(1)_{Lμ-Lτ} extension, multiple massive gauge bosons arise and contribute to both the muon anomalous magnetic moment and to neutrino-electron elastic scatterings. Due to interference effects, the DUNE near detector can probe large portions of the parameter space, including regions that satisfy the muon g-2 discrepancy, for both flat and warped extra dimensions.

What carries the argument

Multiple massive gauge bosons from the five-dimensional U(1)_{Lμ-Lτ} symmetry, whose interference modifies neutrino-electron scattering rates.

If this is right

  • Several years of DUNE near detector data can exclude or confirm large parts of the parameter space that resolves the muon g-2 anomaly.
  • Observable deviations from standard-model rates in neutrino-electron scattering are predicted at MeV energies.
  • The probing power remains comparable whether the extra dimension is flat or warped.
  • Small kinetic mixing still permits strong constraints from the experiment.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Confirmation at DUNE would tie a solution to the muon g-2 anomaly directly to measurable neutrino-interaction effects.
  • The same extra-dimensional construction could be applied to other gauge extensions and tested in analogous scattering channels.
  • Positive signals would motivate dedicated searches for the corresponding Kaluza-Klein states in collider or precision observables.

Load-bearing premise

The kinetic mixing parameters are small but nonzero, and the extra-dimension geometry allows interference effects to be calculated without other new physics dominating the signals.

What would settle it

DUNE near-detector data showing neutrino-electron scattering rates fully consistent with standard-model predictions in the relevant MeV energy window would exclude the muon g-2 satisfying regions of this model.

Figures

Figures reproduced from arXiv: 2407.20615 by Arindam Chatterjee, Ayushi Kaushik, Dibyendu Chakraborty, Kenji Nishiwaki.

Figure 1
Figure 1. Figure 1: A schematic picture of our 5D setup. All of the SM particles are confined within [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: The Feynman diagrams contributing to the processes [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The topology of the Feynman diagram describing additional loop contributions of the [PITH_FULL_IMAGE:figures/full_fig_p011_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Current constraints (shaded by black colours) and future prospects (see the convention) [PITH_FULL_IMAGE:figures/full_fig_p017_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Current constraints and future prospects in DUNE ND through E [PITH_FULL_IMAGE:figures/full_fig_p018_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: For the flat case with [PITH_FULL_IMAGE:figures/full_fig_p030_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: A supplemental plot for the flat case with [PITH_FULL_IMAGE:figures/full_fig_p030_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: The expected 2σ-disfavoured region of the 9-year running of DUNE ND is shown for the warped case with ϵ4 = 10−6 , ye = ek = 1 and nKKmax = 50, where a ‘vacant zone’ is observed as in the four plots of [PITH_FULL_IMAGE:figures/full_fig_p031_8.png] view at source ↗
read the original abstract

We discuss the future prospects of a minimally five-dimensional version of the well-motivated scenario for addressing the discrepancy in the muon anomalous magnetic moment, the $U(1)_{L_\mu - L_\tau}$ extension of the standard model (SM) gauge symmetry. Here, multiple associated massive gauge bosons appear thanks to the five-dimensional $U(1)_{L_\mu - L_\tau}$ gauge symmetry, and they contribute to the muon $(g-2)$ and also other processes. We focus on the powerful probe of elastic neutrino-electron scatterings since the upcoming DUNE experiment will explore MeV-scale uncharted regions by previous experiments (e.g., CHARM-II and Borexino) in the near future. We found that even with small kinetic mixing parameters, much of the parameter space, including those satisfying muon $(g-2)$, can be probed using several years of data from the DUNE experiment, focusing on the near detector. In our scenario, interference effects between intermediate-state gauge bosons play an important role. Our results include comparisons between flat and warped extra dimensions.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The manuscript analyzes prospects for a minimally five-dimensional U(1)_{Lμ−Lτ} extension of the SM, in which compactification produces multiple massive gauge bosons that contribute to the muon (g−2) anomaly and to elastic neutrino-electron scattering. The authors compute interference among these bosons for both flat and warped extra dimensions, treat kinetic mixing as a free parameter, and conclude that several years of DUNE near-detector data can probe much of the viable parameter space—including regions consistent with (g−2)—even for small mixing values, improving on existing CHARM-II and Borexino limits.

Significance. If the interference calculations and projected sensitivities hold, the work supplies a concrete, falsifiable test of a 5D realization of a popular (g−2) solution using near-term neutrino data. The explicit comparison of flat versus warped geometries and the emphasis on interference effects are useful additions to the 5D phenomenology literature.

minor comments (2)
  1. The abstract and introduction should explicitly state the range of compactification radii and the precise definition of the kinetic mixing parameter(s) used in the numerical scans.
  2. Figure captions (or a dedicated methods subsection) should clarify how statistical and systematic uncertainties on the DUNE ν-e event rates are estimated and propagated into the exclusion contours.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our manuscript on the prospects of a five-dimensional U(1)_{Lμ−Lτ} model at the DUNE near detector. The referee's recommendation for minor revision is noted, and we appreciate the recognition of the interference calculations, flat versus warped comparisons, and the potential for probing (g−2)-consistent parameter space. No specific major comments were provided in the report.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

This is a standard phenomenological prospects paper for a 5D U(1)_{Lμ-Lτ} model. The extra-dimension geometry and kinetic mixing parameters are introduced as free inputs; the DUNE sensitivity projections follow from explicit computation of ν-e scattering rates and interference among the resulting gauge bosons. No derivation step reduces a claimed prediction to a fitted parameter by construction, nor does any load-bearing premise rest on a self-citation chain. The analysis is self-contained against external benchmarks (existing CHARM-II/Borexino limits and (g-2) data) and receives a score of 0.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 1 invented entities

The central claim rests on the assumption of a minimally five-dimensional U(1)_{Lμ-Lτ} gauge symmetry and small but non-zero kinetic mixing; these are domain assumptions rather than derived quantities.

free parameters (1)
  • kinetic mixing parameters
    Treated as small inputs that still allow DUNE to probe the space; values not derived from first principles.
axioms (1)
  • domain assumption Minimally five-dimensional U(1)_{Lμ-Lτ} extension of SM gauge symmetry
    Invoked as the starting framework for generating multiple massive gauge bosons.
invented entities (1)
  • Multiple massive gauge bosons from 5D compactification no independent evidence
    purpose: Contribute to muon g-2 and neutrino-electron scattering with interference
    Postulated by the 5D construction; no independent evidence provided in abstract.

pith-pipeline@v0.9.0 · 5750 in / 1231 out tokens · 32482 ms · 2026-05-23T22:38:58.891701+00:00 · methodology

discussion (0)

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The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Aspects of a Five-Dimensional $U(1)_{L_\mu - L_\tau}$ Model at Future Muon-Based Colliders

    hep-ph 2026-04 unverdicted novelty 5.0

    Future muon colliders can probe Kaluza-Klein excitations of a 5D U(1)_{Lμ-Lτ} gauge boson across MeV to TeV masses with couplings down to 10^{-5}.

  2. Muon Beam Dump Experiments explicate five-dimensional nature of $U(1)_{L_{\mu}-L_{\tau}}$

    hep-ph 2025-10 unverdicted novelty 5.0

    Muon beam dump experiments can probe five-dimensional U(1)_{Lμ-Lτ} models via enhanced Kaluza-Klein signals, with decay channels enabling mass reconstruction to indicate extra dimensions.

  3. Probing inelastic sub-GeV dark matter at the DUNE near detector

    hep-ph 2026-04 unverdicted novelty 4.0

    DUNE's ND-LAr can probe sub-GeV inelastic dark matter parameter space consistent with relic abundance via dark Higgs-mediated annihilation, especially at large dark photon-to-DM mass ratios.

Reference graph

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