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arxiv: 1907.01944 · v1 · pith:VFEWUDDKnew · submitted 2019-07-03 · ✦ hep-th

Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era

Michael McGuigan This is my paper

Pith reviewed 2026-05-25 10:04 UTC · model grok-4.3

classification ✦ hep-th
keywords nonsupersymmetric string modelsSO(16)xSO(16)'dark energydark matterLHCgauge-Higgs unificationvacuum stabilizationquantum cosmology
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0 comments X

The pith

The SO(16)xSO(16)' nonsupersymmetric model remains viable for dark energy, dark matter, and LHC constraints.

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

This paper revisits the nonsupersymmetric SO(16)xSO(16)' model to check its consistency with LHC data that found no supersymmetry and with current dark energy measurements. It surveys the model's capacity to stabilize the vacuum, supply dark matter candidates and interaction portals, realize gauge-Higgs unification, and address quantum cosmology questions. A sympathetic reader would care because the construction supplies a concrete string-derived alternative that does not require supersymmetry yet can still accommodate the observed absence of superpartners and the measured cosmological constant.

Core claim

The nonsupersymmetric SO(16)x SO(16)' model has features with regards to high energy physics and cosmology such as dark energy, vacuum stabilization, dark matter candidates, dark matter portals, gauge-Higgs unification, and quantum cosmology that are examined in the context of the LHC and dark energy era.

What carries the argument

The SO(16)x SO(16)' nonsupersymmetric model, a heterotic string compactification that breaks supersymmetry at the string scale and supplies a single Higgs-like field together with a dilaton-radion potential.

If this is right

  • The model can be tuned to produce no supersymmetric signals at LHC energies while keeping a small one-loop vacuum energy.
  • Dark matter candidates arise naturally and can interact with visible matter through specific portals.
  • Gauge-Higgs unification occurs inside the same gauge group without extra fields.
  • A dilaton-radion potential supplies a dynamical source for the observed dark energy density.

Where Pith is reading between the lines

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

  • Future precision measurements of the dark-energy equation of state could distinguish the dilaton-radion potential from a pure cosmological constant.
  • If the portals are realized, direct-detection experiments might see interaction cross sections fixed by the SO(16) charges rather than by free parameters.

Load-bearing premise

The model parameters and potentials can be adjusted to remain consistent with LHC non-observation of supersymmetry and with current dark energy measurements without introducing new contradictions.

What would settle it

Observation of supersymmetric particles at the LHC or a dark-energy equation-of-state parameter incompatible with the model's dilaton-radion potential would rule out the construction's current parameter choices.

Figures

Figures reproduced from arXiv: 1907.01944 by Michael McGuigan.

Figure 1
Figure 1. Figure 1: Radion potential for flux f = 1092. The potential admits a local minimum at b0 = 630.93 and effective positive four dimensional cosmological constant λef f = 1.16061×10−22 . 400 600 800 1000 1200 1400 b 2.×10-21 4.×10-21 6.×10-21 8.×10-21 V(b) (a) a 600 800 1000 1200 1400 b 2.×10-21 4.×10-21 6.×10-21 8.×10-21 V(b) (b) b [PITH_FULL_IMAGE:figures/full_fig_p011_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: [a] Radion potential for flux f = 1127. The potential admits a saddle point with a hilltop type potential. [b] Radion potential for flux f = 1091. The potential admits an effective negative four dimensional cosmological constant. 11 [PITH_FULL_IMAGE:figures/full_fig_p011_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Dilaton-Radion potential for flux f = 1092 and zero dilaton stabilization po￾tential. The potential admits a local minimum with negative effective four dimensional cosmological constant which is consistent with the swampland conjecture. In figure 4 we show the dilaton-radion potential associated with (sinh(2φ))2 and the dilaton-radion potential associated with the φ 2 stabilization potential. In both cases… view at source ↗
Figure 4
Figure 4. Figure 4: [a] Dilaton-Radion potential for flux f = 1092 and dilaton stabilization potential proportional to (sinh(2φ))2 . The potential admits a local minimum with positive reduced effective four dimensional cosmological constant. [b] Dilaton-Radion potential for flux f = 1092 and dilaton stabilization potential proportional to φ 2 . The potential admits a local minimum with positive reduced effective four dimensio… view at source ↗
Figure 5
Figure 5. Figure 5: (a) Dark gluon gd production through one-loop effects of a portal bi-fundamental fermion field χp. (b) Higgs decay to Dark gluons gd through one-loop effects of a portal bi-fundamental fermion field χp. in SO(10) × SO(16)0 in nonsupersymmetric orbifold compactification on T 6/Z3 orbifold which are in SO(10) representations similar to those used in GUT Higgs models. 4.1 Bifundamental fermion portals in acce… view at source ↗
Figure 6
Figure 6. Figure 6: Fields and interactions of the SO(16)×SO(16)0 nonsupersymmetric model. The hidden SO(16)0 sector interacts with the visible sector through the gravitational field gµν as well as through a portal bi-fundamental fermion field χp. 5.1 Higgs decay to dark matter through fermion bi-fundamental fermion in the Compactified SO(16) × SO(16)0 nonsupersymmetric model As discussed above the SO(16) × SO(16)0 nonsupersy… view at source ↗
Figure 7
Figure 7. Figure 7: [a] Fields and interactions of the compactified [PITH_FULL_IMAGE:figures/full_fig_p018_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: f function for Higgs decay to Dark gluons gd through one-loop effects of a portal bi-fundamental fermion field χp with (a) scalar and (b) pseudoscalr γ5 coupling. (a) 18.6 18.7 18.8 18.9 19.0 19.1Log10[h/GeV] -3 × 1072 -2 × 1072 -1 × 1072 1 × 1072 2 × 1072 3 × 1072 Veff(h)[Gev4] (b) 18.6 18.8 19.0 19.2 Log10[h/GeV] 2 × 1072 4 × 1072 6 × 1072 8 × 1072 1 × 1073 Veff(h)[Gev4] [PITH_FULL_IMAGE:figures/full_fi… view at source ↗
Figure 9
Figure 9. Figure 9: (a) Effective potential for the Higgs field at large field values with the Higgs [PITH_FULL_IMAGE:figures/full_fig_p020_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: (Left)Effective potential for the Higgs field with coupling of the Higgs to the [PITH_FULL_IMAGE:figures/full_fig_p021_10.png] view at source ↗
read the original abstract

We revisit the nonsupersymmetric SO(16)x SO(16)' model in light of LHC and Dark Energy data. Recently nonsupersymmetric models have become of great interest because the LHC has not found evidence of supersymmetry. In addition nonsupersymmetric models with a single Higgs-like field and small one loop vacuum energy have been constructed. Also models of dark energy with a dilaton-radion potential have also been recently examined in the light of dark energy data and the swampland conjecture. In this paper some of the features of the nonsupersymmetric SO(16)x SO(16)' model with regards to high energy physics and cosmology such as dark energy, vacuum stablilization, dark matter candidates, dark matter portals, gauge-Higgs unification, and quantum cosmology are examined in the context of the LHC and dark energy era.

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

1 major / 1 minor

Summary. The paper revisits the nonsupersymmetric SO(16)×SO(16)' model, examining conceptual features including dark energy, vacuum stabilization, dark matter candidates and portals, gauge-Higgs unification, and quantum cosmology in the context of LHC non-observation of supersymmetry and current dark energy data.

Significance. If the qualitative discussion holds, the work could frame nonsupersymmetric string-derived models as viable alternatives post-LHC, but the absence of new derivations, explicit potential minimizations, or parameter scans means it offers no falsifiable predictions or machine-checked results beyond prior literature.

major comments (1)
  1. [Abstract] Abstract: the central relevance claim—that the model features are examined 'in the context of the LHC and dark energy era'—requires demonstrating that the SO(16)×SO(16)' potentials and couplings admit a region consistent with LHC bounds and observed dark energy density; no such explicit minimization, one-loop calculation, or scan is provided to establish this region exists without new contradictions.
minor comments (1)
  1. [Abstract] Abstract: 'stablilization' is a typographical error and should read 'stabilization'.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading of the manuscript and for the constructive feedback. We address the major comment below and indicate the corresponding revision.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central relevance claim—that the model features are examined 'in the context of the LHC and dark energy era'—requires demonstrating that the SO(16)×SO(16)' potentials and couplings admit a region consistent with LHC bounds and observed dark energy density; no such explicit minimization, one-loop calculation, or scan is provided to establish this region exists without new contradictions.

    Authors: The manuscript is a qualitative reexamination of conceptual features of the existing SO(16)×SO(16)' model, framed by the absence of supersymmetry signals at the LHC and current dark energy observations. It draws on prior literature for the model's potentials and couplings rather than performing new explicit minimizations or scans. We agree that the abstract phrasing could be read as implying a quantitative demonstration of consistency that is not present in the work. We will revise the abstract to clarify that the discussion is conceptual and revisits implications in light of the data, without new calculations establishing a viable parameter region. revision: yes

Circularity Check

0 steps flagged

No significant circularity; qualitative conceptual revisit without load-bearing derivations or predictions

full rationale

The paper is a revisit examining conceptual features (dark energy, vacuum stabilization, dark matter candidates, portals, gauge-Higgs unification, quantum cosmology) in light of LHC and dark energy data. The abstract and skeptic summary indicate a qualitative discussion rather than any derivation chain, new quantitative predictions, parameter fits, or equations that could reduce to inputs by construction. No self-citations are shown to be load-bearing for a central claim, and no fitted inputs are renamed as predictions. The manuscript does not present a mathematical derivation whose outputs are forced by its own definitions or prior self-citations.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available; no explicit free parameters, axioms, or invented entities can be extracted. The model itself is presumed to rest on standard string-theory assumptions not detailed here.

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discussion (0)

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