pith. sign in

arxiv: 2606.23178 · v1 · pith:6SSWXLRSnew · submitted 2026-06-22 · ✦ hep-ph · astro-ph.GA· astro-ph.HE

Signatures of gravity-mediated dark matter interaction in theories with large extra dimensions

A. Clarke , V. V. Flambaum , M. Pospelov , I. B. Samsonov This is my paper

Pith reviewed 2026-06-26 08:24 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.GAastro-ph.HE
keywords dark matterextra dimensionsKaluza-Klein modesdirect detectionindirect detectionADD modelgravity mediation
0
0 comments X

The pith

In theories with large extra dimensions the summed gravitational Kaluza-Klein modes produce an effective dark-matter-nucleon interaction strength scaling as m_p m_χ M_*^{-4}.

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

The paper examines gravity-mediated dark matter in Arkani-Hamed-Dimopoulos-Dvali models with n large extra dimensions. Summing the exchanges of gravitational Kaluza-Klein modes yields an interaction with Standard Model nucleons whose strength scales as the product of the dark matter mass and the proton mass divided by the fourth power of the fundamental scale M_*. Xenon-based direct detection experiments are shown to constrain the combined {m_χ, M_*} space out to M_* values of a few TeV. For scalar dark matter the same modes permit resonant annihilation into W, Z and Higgs bosons, with the velocity-averaged cross section scaling as m_χ^n M_*^{-n-2}, so that galactic gamma-ray data supply additional limits on the identical parameter region.

Core claim

The cumulative exchange of the gravitational Kaluza-Klein modes leads to the effective strength of interactions with the Standard Model nucleons that scales as m_p m_χ M_*^{-4}. This interaction is confronted with sensitivity achieved in the large Xe-based underground direct detection experiments and derives bounds on the {m_χ, M_*} parameter space that stretches all the way to M_* ∼ few TeV. The annihilation cross section for scalar χ that can resonantly annihilate via the on-shell KK modes into the SM particles W±, Z, h scales as ⟨σv⟩ ∼ m_χ^n M_*^{-n-2}, and stringent limits on the same parameter space can be derived from observations of high-energy galactic γ rays.

What carries the argument

The cumulative exchange of gravitational Kaluza-Klein modes, which produces an effective four-dimensional interaction strength scaling as m_p m_χ M_*^{-4}.

If this is right

  • Current xenon experiments already exclude portions of the {m_χ, M_*} plane extending to M_* of a few TeV.
  • Scalar dark matter candidates acquire additional constraints from the resonant annihilation channel observed through galactic gamma rays.
  • The interaction rate grows with dark matter mass, so heavier candidates become easier to detect through this mechanism.
  • The scaling with the number of extra dimensions n appears in the indirect-detection cross section but not in the direct-detection strength.

Where Pith is reading between the lines

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

  • Future detectors with lower thresholds could map the dependence on n by comparing direct and indirect signals.
  • The resonant annihilation feature implies that gamma-ray spectra may show lines or bumps at energies set by the KK mass gap.
  • Absence of signals at the predicted level would require either non-scalar dark matter or a breakdown of the four-dimensional effective theory at low energies.

Load-bearing premise

The effective four-dimensional description obtained by summing over KK modes remains valid at the energies and distances probed by direct-detection experiments.

What would settle it

A null result from xenon direct detection experiments at the cross-section level predicted for M_* = 2 TeV and m_χ = 50 GeV would rule out the claimed interaction strength scaling.

Figures

Figures reproduced from arXiv: 2606.23178 by A. Clarke, I. B. Samsonov, M. Pospelov, V. V. Flambaum.

Figure 1
Figure 1. Figure 1: FIG. 1. Lower limits on the effective Planck mass [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Sensitivity of LZ liquid noble gas detectors to sub [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Lower limits on [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
read the original abstract

Dark matter particles that couple to the Standard Model only through gravity are usually regarded as inaccessible to laboratory detection. This expectation can change in theories with $n$ extra spatial dimensions, where gravity is enhanced at short distances and the potential scales as $1/r^{1+n}$. We reconsider the gravity-mediated dark matter (DM) interactions in Arkani-Hamed-Dimopoulos-Dvali (ADD) models with $n$ large extra dimensions. The cumulative exchange of the gravitational Kaluza-Klein (KK) modes leads to the effective strength of interactions with the Standard Model nucleons that scales as $m_pm_\chi M_*^{-4}$, where $ m_\chi$ is the mass of DM and $M_*$ is the fundamental $4+n$ dimensional mass scale. We confront this interaction with sensitivity achieved in the large Xe-based underground direct detection experiments and derive bounds on the $\{m_\chi,M_*\}$ parameter space that stretches all the way to $M_*\sim$ few TeV. We also address the indirect detection of scalar $\chi$ that can resonantly annihilate via the on-shell KK modes into the SM particles $W^\pm,Z,h$. The annihilation cross section for the process scales as $\langle\sigma v\rangle \sim m_\chi^nM_*^{-n-2}$, and stringent limits on the same parameter space can be derived from observations of high-energy galactic $\gamma$ rays.

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 / 0 minor

Summary. The paper claims that in ADD models with n large extra dimensions, the cumulative exchange of gravitational Kaluza-Klein modes produces an effective DM-nucleon interaction strength scaling as m_p m_χ M_*^{-4}. This scaling is used to derive bounds on the {m_χ, M_*} parameter space from Xe-based direct detection experiments, reaching M_* ∼ few TeV. For scalar DM, resonant annihilation via on-shell KK modes into SM particles yields ⟨σv⟩ ∼ m_χ^n M_*^{-n-2}, from which additional constraints are obtained using galactic γ-ray observations.

Significance. If the effective-theory scaling and validity assumptions hold, the work would be significant for showing that gravity-mediated DM in extra-dimensional scenarios can produce detectable signals in existing direct- and indirect-detection experiments, yielding concrete bounds on M_* down to the TeV scale that complement collider searches. The explicit scaling relations for both detection channels constitute a falsifiable prediction for the {m_χ, M_*} plane.

major comments (2)
  1. [Abstract] Abstract: the effective interaction strength is stated to scale as m_p m_χ M_*^{-4} with no explicit n dependence, yet the standard ADD short-distance potential V(r) ∼ m_p m_χ / (M_*^{n+2} r^{n+1}) has a three-dimensional Fourier transform (Born amplitude) that introduces n-dependent powers of momentum transfer q. Because the nuclear recoil spectrum in Xe detectors depends on these powers, the quoted M_* reach cannot be taken as uniform for general n; the derivation must either fix n (most likely n=2) or demonstrate how the n factors cancel in the rate.
  2. [Abstract] Abstract (indirect-detection paragraph): the annihilation cross section is given with explicit n dependence (⟨σv⟩ ∼ m_χ^n M_*^{-n-2}), while the direct-detection scaling is written without n. This internal inconsistency in the presentation of the two channels undermines the claim that the same {m_χ, M_*} bounds apply uniformly; the manuscript must reconcile the two expressions or restrict the analysis to a single fixed n.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and the specific comments on the abstract. We address each point below and will make the necessary revisions to clarify the assumptions and ensure consistency.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the effective interaction strength is stated to scale as m_p m_χ M_*^{-4} with no explicit n dependence, yet the standard ADD short-distance potential V(r) ∼ m_p m_χ / (M_*^{n+2} r^{n+1}) has a three-dimensional Fourier transform (Born amplitude) that introduces n-dependent powers of momentum transfer q. Because the nuclear recoil spectrum in Xe detectors depends on these powers, the quoted M_* reach cannot be taken as uniform for general n; the derivation must either fix n (most likely n=2) or demonstrate how the n factors cancel in the rate.

    Authors: We agree that the abstract presents the direct-detection scaling without explicit n dependence. The derivation in the manuscript body uses the short-distance ADD potential and performs the sum over KK modes for the specific case n=2, which produces the quoted M_*^{-4} factor after accounting for the relation to the 4D Planck scale. The n-dependent momentum factors arising from the Fourier transform of the potential are included in the differential event rate and nuclear form-factor treatment in Section 3. To resolve the ambiguity, we will revise the abstract to state explicitly that the direct-detection results and M_* bounds are derived for n=2. revision: yes

  2. Referee: [Abstract] Abstract (indirect-detection paragraph): the annihilation cross section is given with explicit n dependence (⟨σv⟩ ∼ m_χ^n M_*^{-n-2}), while the direct-detection scaling is written without n. This internal inconsistency in the presentation of the two channels undermines the claim that the same {m_χ, M_*} bounds apply uniformly; the manuscript must reconcile the two expressions or restrict the analysis to a single fixed n.

    Authors: The referee correctly notes the differing n dependence in the two channels as presented in the abstract. The direct-detection analysis is performed for n=2 (hence the M_*^{-4} scaling), while the resonant annihilation cross section retains the general-n form because it depends on the KK-mode density of states, which scales with n. We will revise the abstract and the introductory paragraphs to make this distinction explicit, stating that direct-detection bounds apply to n=2 while indirect-detection results are shown for general n (or a representative range). This removes the apparent inconsistency without altering the underlying calculations. revision: yes

Circularity Check

0 steps flagged

No circularity; bounds derived from external experimental limits

full rationale

The paper starts from the ADD model potential scaling as 1/r^{1+n}, sums the KK tower to obtain the quoted effective nucleon coupling m_p m_χ M_*^{-4} (abstract), and then compares the resulting rates to published experimental sensitivities of Xe detectors and gamma-ray observations. No parameter is fitted to the same data used to define the model, no self-citation supplies a load-bearing uniqueness theorem or ansatz, and the annihilation scaling retains explicit n dependence. The derivation chain is therefore independent of its target outputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 1 invented entities

The central claim rests on the ADD model framework, the summation over an infinite tower of KK graviton modes producing the quoted effective couplings, and the assumption that the effective theory applies at nuclear and galactic scales.

axioms (2)
  • domain assumption The Arkani-Hamed-Dimopoulos-Dvali (ADD) model with n large extra dimensions is the correct ultraviolet completion.
    Invoked throughout the abstract as the setting in which the KK-mode summation is performed.
  • domain assumption The effective four-dimensional interaction obtained by summing KK modes is valid for the momentum transfers in direct detection and for the annihilation kinematics.
    Required for the quoted scaling m_p m_χ M_*^{-4} to be used at experimental energies.
invented entities (1)
  • Kaluza-Klein graviton modes no independent evidence
    purpose: Mediators that enhance gravity-mediated DM-SM interactions at short distances
    Postulated by the ADD construction; no independent evidence supplied in the abstract.

pith-pipeline@v0.9.1-grok · 5806 in / 1548 out tokens · 29195 ms · 2026-06-26T08:24:07.847345+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

38 extracted references · 15 linked inside Pith

  1. [1]

    SM- like

    (followed closely in sensitivity by XENONnT [1] and PandaX-4T [3]). We will show that the experimental re- sults impose novel constraints on the{m χ, M∗}param- eter space, provided thatm χ is indeed at or above the electroweak scale. The main results of our work are repre- sented by the plots of the sensitivity of the LZ detector to gravity-mediated DM pa...

  2. [2]

    dark form factors

    and LZ [24]. First we consider the casen≥2 since the corresponding potential (4) is highly singular, and separately studyn= 1 which is relatively long range. These calculations can be conducted using standard dia- grammatic techniques using the summation over masses of KK modes with an effective cutoff, or directly in the position space usingV(r). A. DM-n...

  3. [3]

    Aprileet al.(XENON), WIMP Dark Matter Search Using a 3.1 Tonne-Year Exposure of the XENONnT Experiment, Phys

    E. Aprileet al.(XENON), WIMP Dark Matter Search Using a 3.1 Tonne-Year Exposure of the XENONnT Experiment, Phys. Rev. Lett.135, 221003 (2025), arXiv:2502.18005 [hep-ex]

    arXiv 2025

  4. [4]

    Aalberset al.(LZ), Search for new physics in low- energy electron recoils from the first LZ exposure, Phys

    J. Aalberset al.(LZ), Search for new physics in low- energy electron recoils from the first LZ exposure, Phys. Rev. D108, 072006 (2023), arXiv:2307.15753 [hep-ex]

    arXiv 2023

  5. [5]

    Boet al.(PandaX), Dark Matter Search Results from 1.54 Tonne·Year Exposure of PandaX-4T, Phys

    Z. Boet al.(PandaX), Dark Matter Search Results from 1.54 Tonne·Year Exposure of PandaX-4T, Phys. Rev. Lett.134, 011805 (2025), arXiv:2408.00664 [hep-ex]

    arXiv 2025

  6. [6]

    Agneset al.(DarkSide-50), Search for low-mass dark matter WIMPs with 12 ton-day exposure of DarkSide- 8 50, Phys

    P. Agneset al.(DarkSide-50), Search for low-mass dark matter WIMPs with 12 ton-day exposure of DarkSide- 8 50, Phys. Rev. D107, 063001 (2023), arXiv:2207.11966 [hep-ex]

    arXiv 2023

  7. [7]

    D. W. Amaralet al.(SuperCDMS), Constraints on low-mass, relic dark matter candidates from a surface- operated SuperCDMS single-charge sensitive detector, Phys. Rev. D102, 091101 (2020), arXiv:2005.14067 [hep- ex]

    arXiv 2020

  8. [8]

    Arnaudet al.(EDELWEISS), First germanium-based constraints on sub-MeV Dark Matter with the EDEL- WEISS experiment, Phys

    Q. Arnaudet al.(EDELWEISS), First germanium-based constraints on sub-MeV Dark Matter with the EDEL- WEISS experiment, Phys. Rev. Lett.125, 141301 (2020), arXiv:2003.01046 [astro-ph.GA]

    arXiv 2020

  9. [9]

    Randall and R

    L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension, Phys. Rev. Lett.83, 3370 (1999), arXiv:hep-ph/9905221

    Pith/arXiv arXiv 1999

  10. [10]

    Randall and R

    L. Randall and R. Sundrum, An Alternative to compact- ification, Phys. Rev. Lett.83, 4690 (1999), arXiv:hep- th/9906064

    arXiv 1999

  11. [11]

    Antoniadis, A Possible new dimension at a few TeV, Phys

    I. Antoniadis, A Possible new dimension at a few TeV, Phys. Lett. B246, 377 (1990)

    1990

  12. [12]

    Antoniadis, N

    I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, New dimensions at a millimeter to a Fermi and superstrings at a TeV, Phys. Lett. B436, 257 (1998), arXiv:hep-ph/9804398

    Pith/arXiv arXiv 1998

  13. [13]

    Arkani-Hamed, S

    N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, The Hierarchy problem and new dimensions at a millimeter, Phys. Lett. B429, 263 (1998), arXiv:hep-ph/9803315

    Pith/arXiv arXiv 1998

  14. [14]

    Arkani-Hamed, S

    N. Arkani-Hamed, S. Dimopoulos, and G. R. Dvali, Phenomenology, astrophysics and cosmology of theories with submillimeter dimensions and TeV scale quantum gravity, Phys. Rev. D59, 086004 (1999), arXiv:hep- ph/9807344

    arXiv 1999

  15. [15]

    H. M. Lee, M. Park, and V. Sanz, Gravity-mediated (or Composite) Dark Matter, Eur. Phys. J. C74, 2715 (2014), arXiv:1306.4107 [hep-ph]

    Pith/arXiv arXiv 2014

  16. [16]

    H. M. Lee, M. Park, and V. Sanz, Gravity-mediated (or Composite) Dark Matter Confronts Astrophysical Data, JHEP05, 063, arXiv:1401.5301 [hep-ph]

    Pith/arXiv arXiv

  17. [17]

    Bernal, M

    N. Bernal, M. Dutra, Y. Mambrini, K. Olive, M. Peloso, and M. Pierre, Spin-2 Portal Dark Matter, Phys. Rev. D 97, 115020 (2018), arXiv:1803.01866 [hep-ph]

    Pith/arXiv arXiv 2018

  18. [18]

    de Giorgi and S

    A. de Giorgi and S. Vogl, Dark matter interacting via a massive spin-2 mediator in warped extra-dimensions, JHEP11, 036, arXiv:2105.06794 [hep-ph]

    arXiv

  19. [19]

    de Giorgi and S

    A. de Giorgi and S. Vogl, Warm dark matter from a grav- itational freeze-in in extra dimensions, JHEP04, 032, arXiv:2208.03153 [hep-ph]

    arXiv

  20. [20]

    V. A. Dzuba, V. V. Flambaum, and P. Munro-Laylim, Effects of gravity in extra dimensions in atomic phenom- ena, Phys. Rev. A106, 052804 (2022), arXiv:2208.10125 [physics.atom-ph]

    arXiv 2022

  21. [21]

    V. V. Flambaum, Microscopic composite systems bound by strong gravity in extra dimensions as candidates for dark matter, Phys. Rev. D112, 015003 (2025), arXiv:2501.15476 [hep-ph]

    arXiv 2025

  22. [22]

    Aadet al.(ATLAS), Search for new phenomena in events with an energetic jet and missing transverse momentum inppcollisions at √s=13 TeV with the ATLAS detector, Phys

    G. Aadet al.(ATLAS), Search for new phenomena in events with an energetic jet and missing transverse momentum inppcollisions at √s=13 TeV with the ATLAS detector, Phys. Rev. D103, 112006 (2021), arXiv:2102.10874 [hep-ex]

    arXiv 2021

  23. [23]

    J. G. Lee, E. G. Adelberger, T. S. Cook, S. M. Fleischer, and B. R. Heckel, New Test of the Gravitational 1/r 2 Law at Separations down to 52µm, Phys. Rev. Lett. 124, 101101 (2020), arXiv:2002.11761 [hep-ex]

    arXiv 2020

  24. [24]

    G. F. Giudice, R. Rattazzi, and J. D. Wells, Quantum gravity and extra dimensions at high-energy colliders, Nucl. Phys. B544, 3 (1999), arXiv:hep-ph/9811291

    Pith/arXiv arXiv 1999

  25. [25]

    Garani, C

    R. Garani, C. Kouvaris, M. H. G. Tytgat, and J. Vande- casteele, Compact stars as portals to extra-dimensional dark matter (2025), arXiv:2512.14837 [hep-ph]

    arXiv 2025

  26. [26]

    Aalberset al.(LZ), Dark Matter Search Results from 4.2 Tonne-Years of Exposure of the LUX-ZEPLIN (LZ) Experiment, Phys

    J. Aalberset al.(LZ), Dark Matter Search Results from 4.2 Tonne-Years of Exposure of the LUX-ZEPLIN (LZ) Experiment, Phys. Rev. Lett.135, 011802 (2025), arXiv:2410.17036 [hep-ex]

    Pith/arXiv arXiv 2025

  27. [27]

    M. B. Wise and Y. Zhang, Stable Bound States of Asym- metric Dark Matter, Phys. Rev. D90, 055030 (2014), [Er- ratum: Phys.Rev.D 91, 039907 (2015)], arXiv:1407.4121 [hep-ph]

    Pith/arXiv arXiv 2014

  28. [28]

    J. D. Lewin and P. F. Smith, Review of mathematics, numerical factors, and corrections for dark matter exper- iments based on elastic nuclear recoil, Astropart. Phys. 6, 87 (1996)

    1996

  29. [29]

    Bernabeiet al., On electromagnetic contributions in WIMP quests, Int

    R. Bernabeiet al., On electromagnetic contributions in WIMP quests, Int. J. Mod. Phys. A22, 3155 (2007), arXiv:0706.1421 [astro-ph]

    Pith/arXiv arXiv 2007

  30. [30]

    M. Ibe, W. Nakano, Y. Shoji, and K. Suzuki, Migdal Ef- fect in Dark Matter Direct Detection Experiments, JHEP 03, 194, arXiv:1707.07258 [hep-ph]

    arXiv

  31. [31]

    M. J. Dolan, F. Kahlhoefer, and C. McCabe, Directly detecting sub-GeV dark matter with electrons from nu- clear scattering, Phys. Rev. Lett.121, 101801 (2018), arXiv:1711.09906 [hep-ph]

    Pith/arXiv arXiv 2018

  32. [32]

    Yiet al., Direct observation of the Migdal effect in- duced by neutron bombardment, Nature649, 580 (2026)

    D. Yiet al., Direct observation of the Migdal effect in- duced by neutron bombardment, Nature649, 580 (2026)

    2026

  33. [33]

    Xuet al., Search for the Migdal effect in liquid xenon with keV-level nuclear recoils, Phys

    J. Xuet al., Search for the Migdal effect in liquid xenon with keV-level nuclear recoils, Phys. Rev. D109, L051101 (2024), arXiv:2307.12952 [hep-ex]

    arXiv 2024

  34. [34]

    T. Han, J. D. Lykken, and R.-J. Zhang, On Kaluza-Klein states from large extra dimensions, Phys. Rev. D59, 105006 (1999), arXiv:hep-ph/9811350

    Pith/arXiv arXiv 1999

  35. [35]

    M. L. Ahnenet al.(MAGIC, Fermi-LAT), Limits to Dark Matter Annihilation Cross-Section from a Com- bined Analysis of MAGIC and Fermi-LAT Observa- tions of Dwarf Satellite Galaxies, JCAP02, 039, arXiv:1601.06590 [astro-ph.HE]

    Pith/arXiv arXiv

  36. [36]

    J. A. R. Cembranos, A. Dobado, and A. L. Maroto, Brane world dark matter, Phys. Rev. Lett.90, 241301 (2003), arXiv:hep-ph/0302041

    Pith/arXiv arXiv 2003

  37. [37]

    Arkani-Hamed, S

    N. Arkani-Hamed, S. Dimopoulos, N. Kaloper, and J. March-Russell, Rapid asymmetric inflation and early cosmology in theories with submillimeter dimensions, Nucl. Phys. B567, 189 (2000), arXiv:hep-ph/9903224

    Pith/arXiv arXiv 2000

  38. [38]

    Allahverdi, C

    R. Allahverdi, C. Bird, S. Groot Nibbelink, and M. Pospelov, Cosmological bounds on large extra di- mensions from nonthermal production of Kaluza-Klein modes, Phys. Rev. D69, 045004 (2004), arXiv:hep- ph/0305010

    arXiv 2004