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arxiv: 2511.09619 · v2 · pith:DIWKO3QDnew · submitted 2025-11-12 · ✦ hep-ph · astro-ph.HE· hep-ex

L_μ-L_τ gauge bosons in beam dumps and supernovae

Pith reviewed 2026-05-21 19:11 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.HEhep-ex
keywords Lμ-Lτ gauge bosonbeam dumpsSHiP experimentsupernova coolingSN1987Adark sectorneutrino signals
0
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The pith

Reanalysis of sub-GeV Lμ-Lτ gauge bosons shows discrepancies in SHiP sensitivity and supernova cooling bounds compared to prior work.

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

The paper studies a sub-GeV gauge boson that couples differently to muons and taus. It provides a quantitative breakdown of production mechanisms in beam dump setups and contrasts the results with earlier analyses. In the supernova context, it reassesses the cooling limits from SN1987A and considers extra constraints from diffusive cooling, low-energy supernovae, and the missing high-energy neutrino signal. These efforts matter to anyone mapping out the possible existence of light new particles, as they adjust the boundaries of what experiments must probe. Correcting the record on these limits refines the search strategy for this type of dark sector candidate.

Core claim

The authors establish that existing literature contains discrepancies in the projected sensitivity of the upcoming SHiP experiment to sub-GeV Lμ-Lτ gauge bosons and in the handling of supernova cooling constraints, which they address through detailed calculations of production modes in beam dumps and a fresh evaluation of SN1987A data along with additional supernova observables.

What carries the argument

Production modes of the Lμ-Lτ gauge boson in beam dumps and its contribution to supernova cooling, which determine the experimental reach and astrophysical limits.

If this is right

  • Updated production calculations alter the expected event rates at beam dump facilities like SHiP.
  • Re-evaluated supernova bounds change the excluded regions in the mass-coupling plane for this boson.
  • Diffusive cooling provides a new way to constrain the boson's interactions in stellar environments.
  • Absence of high-energy neutrinos from SN1987A imposes limits on the boson's decay or production in the supernova.
  • Existence of low-energy supernovae adds further restrictions on allowed parameters.

Where Pith is reading between the lines

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

  • The revised limits may require updating of global fits to dark sector models that include this gauge boson.
  • Similar discrepancies could exist in analyses of other light vector particles, suggesting a broader review of beam dump and astrophysical constraints.
  • These changes could impact the interpretation of any future signals or continued null results in related searches.

Load-bearing premise

Standard assumptions about particle production cross sections in beam dumps and energy transport mechanisms in supernova cores are accurate enough to highlight real differences from previous calculations.

What would settle it

An independent computation that reproduces the previous literature's production rates or cooling luminosities instead of this paper's values would falsify the discrepancies.

Figures

Figures reproduced from arXiv: 2511.09619 by Kevin J. Kelly, Nikita Blinov, Patrick J. Fox, Ryan Plestid, Tao Zhou.

Figure 1
Figure 1. Figure 1: FIG. 1. Constraints and experimental projections in the [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Flux of [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Sensitivity of SHiP with 2 [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Supernova bounds on the [PITH_FULL_IMAGE:figures/full_fig_p010_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p012_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Impact of the parameter Λ [PITH_FULL_IMAGE:figures/full_fig_p012_6.png] view at source ↗
read the original abstract

We study the phenomenology of a sub-GeV $L_\mu-L_\tau$ gauge boson. We find discrepancies with existing literature in sensitivity projections for the upcoming SHiP experiment and in the treatment of supernovae cooling constraints. We present a quantitative analysis of different production modes in beam dumps and compare our results to previous work. In the context of supernovae, we re-evaluate the standard supernova cooling bounds from SN1987A and analyze additional supernova-based probes: diffusive cooling, constraints from the existence of low-energy supernovae, and the absence of a high-energy neutrino signal from SN1987A.

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

2 major / 2 minor

Summary. The paper studies the phenomenology of a sub-GeV L_μ-L_τ gauge boson. It identifies discrepancies with existing literature in sensitivity projections for the upcoming SHiP experiment and in the treatment of supernovae cooling constraints from SN1987A. The analysis includes quantitative treatment of production modes in beam dumps (meson decays, bremsstrahlung, etc.) and re-evaluation of supernova-based probes: diffusive cooling, constraints from low-energy supernovae, and the absence of a high-energy neutrino signal from SN1987A.

Significance. If the claimed discrepancies are substantiated by explicit numerical comparisons, the work would refine experimental reach estimates for SHiP and tighten or adjust astrophysical bounds on L_μ-L_τ models, with potential impact on model-building in the sub-GeV regime. The reliance on standard production cross-sections and cooling formulas from prior literature is a strength when accompanied by transparent cross-checks.

major comments (2)
  1. [Abstract and production analysis section] Abstract and production analysis section: the central claim of discrepancies in SHiP sensitivity projections rests on the quantitative modeling of beam-dump production channels. To establish these as corrections rather than modeling artifacts, the manuscript must include explicit side-by-side numerical comparisons (or tables) of cross-sections, branching ratios, and acceptance factors against the referenced prior works, specifying any differences in form factors, plasma-frequency cutoffs, or kinematic assumptions.
  2. [Supernova cooling re-evaluation section] Supernova cooling re-evaluation section: the re-derivation of SN1987A bounds (including diffusive cooling and neutrino-signal constraints) is load-bearing for the headline result. Direct comparison of the optical-depth integrals, temperature profiles, and energy-loss rates with the formulas in the cited literature is required to confirm that any differences arise from improved treatment rather than unstated choices in the stellar model.
minor comments (2)
  1. Add a dedicated comparison table (or appendix) summarizing the numerical outputs for SHiP reach and SN cooling limits versus prior results, including error budgets where applicable.
  2. Ensure all references to previous works are cited at the point where discrepancies are first asserted, rather than only in the abstract.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive suggestions. We address each major comment below and agree to strengthen the presentation with additional explicit comparisons in the revised version.

read point-by-point responses
  1. Referee: [Abstract and production analysis section] Abstract and production analysis section: the central claim of discrepancies in SHiP sensitivity projections rests on the quantitative modeling of beam-dump production channels. To establish these as corrections rather than modeling artifacts, the manuscript must include explicit side-by-side numerical comparisons (or tables) of cross-sections, branching ratios, and acceptance factors against the referenced prior works, specifying any differences in form factors, plasma-frequency cutoffs, or kinematic assumptions.

    Authors: We agree that explicit numerical comparisons will make the origin of the discrepancies clearer. In the revised manuscript we will insert a dedicated table (or set of tables) in the production analysis section that lists side-by-side values for the dominant production channels—meson decays, bremsstrahlung, and any other relevant modes—together with the corresponding branching ratios and acceptance factors. Each entry will be accompanied by a brief note on the form factors, plasma-frequency cutoffs, and kinematic cuts employed, allowing direct comparison with the referenced prior works. This addition will demonstrate that the revised SHiP sensitivity projections arise from the updated modeling rather than from unstated differences in assumptions. revision: yes

  2. Referee: [Supernova cooling re-evaluation section] Supernova cooling re-evaluation section: the re-derivation of SN1987A bounds (including diffusive cooling and neutrino-signal constraints) is load-bearing for the headline result. Direct comparison of the optical-depth integrals, temperature profiles, and energy-loss rates with the formulas in the cited literature is required to confirm that any differences arise from improved treatment rather than unstated choices in the stellar model.

    Authors: We appreciate the referee’s emphasis on transparency for the supernova analysis. In the revised manuscript we will add a new subsection (or appendix) that directly compares our optical-depth integrals, adopted temperature profiles, and energy-loss rates with the corresponding expressions in the cited literature. The comparison will explicitly note the stellar-model inputs we employ and quantify how they differ from previous choices, thereby confirming that the adjusted SN1987A bounds result from the refined treatment rather than from hidden modeling differences. revision: yes

Circularity Check

0 steps flagged

Derivation is self-contained; no load-bearing reductions to self-inputs or self-citations

full rationale

The paper's central claims identify discrepancies with prior literature on SHiP sensitivity and SN1987A cooling via quantitative modeling of beam-dump production (meson decays, bremsstrahlung) and re-derivation of supernova bounds (diffusive cooling, neutrino signals). These steps rely on standard cross-sections, optical-depth integrals, and stellar-interior assumptions drawn from external references rather than reducing by the paper's own equations to a fitted parameter, self-defined quantity, or self-citation chain. No quoted step equates a prediction to its input by construction, and the analysis remains falsifiable against independent benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The work rests on standard particle-physics production calculations and supernova cooling models drawn from the literature; no new free parameters, ad-hoc axioms, or invented entities are introduced in the abstract.

axioms (1)
  • domain assumption Standard assumptions about particle production cross sections in beam dumps and energy-loss rates in supernovae are sufficiently accurate to reveal discrepancies with earlier studies.
    Invoked when the paper states it finds discrepancies and re-evaluates bounds.

pith-pipeline@v0.9.0 · 5647 in / 1156 out tokens · 61641 ms · 2026-05-21T19:11:26.228248+00:00 · methodology

discussion (0)

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Forward citations

Cited by 2 Pith papers

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    Freeze-in at low reheating temperatures allows MeV-scale dark matter in vector portal models to be probed by future direct detection experiments in nuclear recoils for 50-500 MeV masses and via enhanced solar neutrino...

Reference graph

Works this paper leans on

67 extracted references · 67 canonical work pages · cited by 2 Pith papers · 16 internal anchors

  1. [1]

    Antelet al., Eur

    C. Antelet al., Eur. Phys. J. C83, 1122 (2023), arXiv:2305.01715 [hep-ph]

  2. [2]

    Dark Sectors 2016 Workshop: Community Report

    J. Alexanderet al.(2016) arXiv:1608.08632 [hep-ph]

  3. [3]

    Beachamet al., J

    J. Beachamet al., J. Phys. G47, 010501 (2020), arXiv:1901.09966 [hep-ex]

  4. [4]

    Iltenet al., inSnowmass 2021(2022) arXiv:2206.04220 [hep-ex]

    P. Iltenet al., inSnowmass 2021(2022) arXiv:2206.04220 [hep-ex]

  5. [5]

    Bauer, P

    M. Bauer, P. Foldenauer, and J. Jaeckel, JHEP07, 094 (2018), arXiv:1803.05466 [hep-ph]

  6. [6]

    Foot, Mod

    R. Foot, Mod. Phys. Lett. A6, 527 (1991)

  7. [7]

    X. G. He, G. C. Joshi, H. Lew, and R. R. Volkas, Phys. Rev. D43, 22 (1991)

  8. [8]

    X.-G. He, G. C. Joshi, H. Lew, and R. R. Volkas, Phys. Rev. D44, 2118 (1991)

  9. [9]

    Gauged L_mu - L_tau Symmetry at the Electroweak Scale

    J. Heeck and W. Rodejohann, Phys. Rev. D84, 075007 (2011), arXiv:1107.5238 [hep-ph]

  10. [10]

    Serendipity in dark photon searches

    P. Ilten, Y. Soreq, M. Williams, and W. Xue, JHEP06, 004 (2018), arXiv:1801.04847 [hep-ph]

  11. [11]

    S. Baek, N. G. Deshpande, X. G. He, and P. Ko, Phys. Rev. D64, 055006 (2001), arXiv:hep-ph/0104141

  12. [12]

    E. Ma, D. P. Roy, and S. Roy, Phys. Lett. B525, 101 (2002), arXiv:hep-ph/0110146. 16

  13. [13]

    Cosmology With a Very Light $L_\mu - L_\tau$ Gauge Boson

    M. Escudero, D. Hooper, G. Krnjaic, and M. Pierre, JHEP03, 071 (2019), arXiv:1901.02010 [hep-ph]

  14. [14]

    Croon, G

    D. Croon, G. Elor, R. K. Leane, and S. D. McDermott, JHEP01, 107 (2021), arXiv:2006.13942 [hep-ph]

  15. [15]

    D. G. Cerde˜ no, M. Cerme˜ no, and Y. Farzan, Phys. Rev. D107, 123012 (2023), arXiv:2301.00661 [hep-ph]

  16. [16]

    Akita, S

    K. Akita, S. H. Im, M. Masud, and S. Yun, JHEP07, 057 (2024), arXiv:2312.13627 [hep-ph]

  17. [17]

    K.-C. Lai, C. S. J. Leung, and G.-L. Lin, Phys. Rev. D110, 103023 (2024), arXiv:2401.16023 [hep-ph]

  18. [18]

    Neutrino Tridents at DUNE,

    W. Altmannshofer, S. Gori, J. Mart´ ın-Albo, A. Sousa, and M. Wallbank, Phys. Rev. D100, 115029 (2019), arXiv:1902.06765 [hep-ph]

  19. [19]

    K. J. Kelly, N. Mishra, M. Rai, and L. E. Strigari, Phys. Rev. D110, 113004 (2024), arXiv:2407.03174 [hep-ph]

  20. [20]

    Y. M. Andreevet al.(NA64), Phys. Rev. Lett.132, 211803 (2024), arXiv:2401.01708 [hep-ex]

  21. [21]

    Aberleet al.(SHiP),BDF/SHiP at the ECN3 high-intensity beam facility, Tech

    O. Aberleet al.(SHiP),BDF/SHiP at the ECN3 high-intensity beam facility, Tech. Rep. (CERN, Geneva, 2022)

  22. [22]

    Albaneseet al.(SHiP),BDF/SHiP at the ECN3 high-intensity beam facility, Tech

    R. Albaneseet al.(SHiP),BDF/SHiP at the ECN3 high-intensity beam facility, Tech. Rep. (CERN, Geneva, 2023)

  23. [23]

    C.-Y. Chen, M. Pospelov, and Y.-M. Zhong, Phys. Rev. D95, 115005 (2017), arXiv:1701.07437 [hep-ph]

  24. [24]

    D. W. P. Amaral, D. G. Cerdeno, A. Cheek, and P. Foldenauer, Eur. Phys. J. C81, 861 (2021), arXiv:2104.03297 [hep-ph]

  25. [25]

    Cesarotti, Y

    C. Cesarotti, Y. Kahn, G. Krnjaic, D. Rocha, and J. Spitz, Phys. Rev. D110, 055032 (2024), arXiv:2311.10829 [hep-ph]

  26. [26]

    Cesarotti and R

    C. Cesarotti and R. Gambhir, JHEP05, 283 (2024), arXiv:2310.16110 [hep-ph]

  27. [27]

    T. Zhou, R. Plestid, K. J. Kelly, N. Blinov, and P. J. Fox, JHEP02, 107 (2025), arXiv:2412.01880 [hep-ph]

  28. [28]

    Caputo, G

    A. Caputo, G. Raffelt, and E. Vitagliano, JCAP08, 045 (2022), arXiv:2204.11862 [astro-ph.SR]

  29. [29]

    G. G. Raffelt,Stars as laboratories for fundamental physics: The astrophysics of neutrinos, axions, and other weakly interacting particles(1996)

  30. [30]

    D. F. G. Fiorillo, G. G. Raffelt, and E. Vitagliano, Phys. Rev. Lett.131, 021001 (2023), arXiv:2209.11773 [hep-ph]

  31. [31]

    Caputo, H.-T

    A. Caputo, H.-T. Janka, G. Raffelt, and E. Vitagliano, Phys. Rev. Lett.128, 221103 (2022), arXiv:2201.09890 [astro- ph.HE]

  32. [32]

    Coherent Propagation of PeV Neutrinos and the Dip in the Neutrino Spectrum at IceCube

    A. Kamada and H.-B. Yu, Phys. Rev. D92, 113004 (2015), arXiv:1504.00711 [hep-ph]

  33. [33]

    Y. M. Andreevet al.(NA64), Phys. Rev. D106, 032015 (2022), arXiv:2206.03101 [hep-ex]

  34. [34]

    Lopez Solaet al., Phys

    E. Lopez Solaet al., Phys. Rev. Accel. Beams22, 113001 (2019), arXiv:1904.03074 [physics.ins-det]

  35. [35]

    Agostinelliet al.(GEANT4), Nucl

    S. Agostinelliet al.(GEANT4), Nucl. Instrum. Meth. A506, 250 (2003)

  36. [36]

    Allisonet al., IEEE Trans

    J. Allisonet al., IEEE Trans. Nucl. Sci.53, 270 (2006)

  37. [37]

    Allisonet al., Nucl

    J. Allisonet al., Nucl. Instrum. Meth. A835, 186 (2016)

  38. [38]

    Blinov, P

    N. Blinov, P. J. Fox, K. J. Kelly, P. A. N. Machado, and R. Plestid, JHEP07, 022 (2024), arXiv:2401.06843 [hep-ph]

  39. [39]

    Ahdidaet al.(SHiP), Eur

    C. Ahdidaet al.(SHiP), Eur. Phys. J. C81, 451 (2021), arXiv:2011.05115 [hep-ex]

  40. [40]

    Aguilar-Benitezet al., Z

    M. Aguilar-Benitezet al., Z. Phys. C50, 405 (1991)

  41. [41]

    Krnjaic, G

    G. Krnjaic, G. Marques-Tavares, D. Redigolo, and K. Tobioka, Phys. Rev. Lett.124, 041802 (2020), arXiv:1902.07715 [hep-ph]

  42. [42]

    Foroughi-Abari, P

    S. Foroughi-Abari, P. Reimitz, and A. Ritz, Phys. Rev. D112, 015030 (2025), arXiv:2409.09123 [hep-ph]

  43. [43]

    New Exclusion Limits on Dark Gauge Forces from Proton Bremsstrahlung in Beam-Dump Data

    J. Bl¨ umlein and J. Brunner, Phys. Lett. B731, 320 (2014), arXiv:1311.3870 [hep-ph]

  44. [44]

    Light dark matter in neutrino beams: production modelling and scattering signatures at MiniBooNE, T2K and SHiP

    P. deNiverville, C.-Y. Chen, M. Pospelov, and A. Ritz, Phys. Rev. D95, 035006 (2017), arXiv:1609.01770 [hep-ph]

  45. [45]

    J. M. Berryman, A. de Gouvea, P. J. Fox, B. J. Kayser, K. J. Kelly, and J. L. Raaf, JHEP02, 174 (2020), arXiv:1912.07622 [hep-ph]

  46. [46]

    Hirataet al.(Kamiokande-II), Phys

    K. Hirataet al.(Kamiokande-II), Phys. Rev. Lett.58, 1490 (1987)

  47. [47]

    R. M. Biontaet al., Phys. Rev. Lett.58, 1494 (1987)

  48. [48]

    E. N. Alekseev, L. N. Alekseeva, I. V. Krivosheina, and V. I. Volchenko, Phys. Lett. B205, 209 (1988)

  49. [49]

    D. F. G. Fiorillo, T. Pitik, and E. Vitagliano, (2025), arXiv:2503.13653 [hep-ph]

  50. [50]

    S. W. Falk and D. N. Schramm, Phys. Lett. B79, 511 (1978)

  51. [51]

    A. Sung, H. Tu, and M.-R. Wu, Phys. Rev. D99, 121305 (2019), arXiv:1903.07923 [hep-ph]

  52. [52]

    Muonic Boson Limits: Supernova Redux

    A. Caputo, G. Raffelt, and E. Vitagliano, Phys. Rev. D105, 035022 (2022), arXiv:2109.03244 [hep-ph]

  53. [53]

    D. F. G. Fiorillo, T. Pitik, and E. Vitagliano, (2025), arXiv:2503.15630 [hep-ph]

  54. [54]

    D. F. G. Fiorillo, H.-T. Janka, and G. G. Raffelt, (2025), arXiv:2507.22985 [hep-ph]

  55. [55]

    Johns, S

    L. Johns, S. Richers, and M.-R. Wu, Ann. Rev. Nucl. Part. Sci.75, 399 (2025), arXiv:2503.05959 [astro-ph.HE]

  56. [56]

    Supernova Neutrinos: Production, Oscillations and Detection

    A. Mirizzi, I. Tamborra, H.-T. Janka, N. Saviano, K. Scholberg, R. Bollig, L. Hudepohl, and S. Chakraborty, Riv. Nuovo Cim.39, 1 (2016), arXiv:1508.00785 [astro-ph.HE]

  57. [57]

    Muon Creation in Supernova Matter Facilitates Neutrino-driven Explosions

    R. Bollig, H. T. Janka, A. Lohs, G. Martinez-Pinedo, C. J. Horowitz, and T. Melson, Phys. Rev. Lett.119, 242702 (2017), arXiv:1706.04630 [astro-ph.HE]

  58. [58]

    Bollig, W

    R. Bollig, W. DeRocco, P. W. Graham, and H.-T. Janka, Phys. Rev. Lett.125, 051104 (2020), [Erratum: Phys.Rev.Lett. 126, 189901 (2021)], arXiv:2005.07141 [hep-ph]

  59. [59]

    Syvolap, (2023), arXiv:2301.07052 [hep-ph]

    V. Syvolap, (2023), arXiv:2301.07052 [hep-ph]

  60. [60]

    Syvolap and O

    V. Syvolap and O. Ruchayskiy, Phys. Rev. D110, 115043 (2024), arXiv:2404.19191 [hep-ph]

  61. [61]

    NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations

    I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, I. Martinez-Soler, J. P. Pinheiro, and T. Schwetz, JHEP12, 216 (2024), arXiv:2410.05380 [hep-ph]

  62. [62]

    C. B. Brattonet al.(IMB), Phys. Rev. D37, 3361 (1988)

  63. [63]

    Kolbe, K

    E. Kolbe, K. Langanke, and P. Vogel, Phys. Rev. D66, 013007 (2002)

  64. [64]

    Baruch, P

    C. Baruch, P. Ilten, Y. Soreq, and M. Williams, JHEP11, 124 (2022), arXiv:2206.08563 [hep-ph]

  65. [65]

    Foroughi-Abari and A

    S. Foroughi-Abari and A. Ritz, Phys. Rev. D105, 095045 (2022), arXiv:2108.05900 [hep-ph]

  66. [66]

    Dipole portal to heavy neutral leptons

    G. Magill, R. Plestid, M. Pospelov, and Y.-D. Tsai, Phys. Rev. D98, 115015 (2018), arXiv:1803.03262 [hep-ph]

  67. [67]

    H. A. Weldon, Phys. Rev. D28, 2007 (1983)