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Dynamical Supersymmetry Breaking at Low Energies

High Energy Physics - Phenomenology · Submitted 8 Mar 1993 · 16 references

Pith's verdict: The paper that quietly founded gauge mediation: the mass relations and messenger mechanism are the real content, and the one soft spot is the electroweak sector in §4.5, which is asserted rather than shown.

T0 · AI review

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arXiv IDhep-ph/9303230 (version 2)
Pith ID4YF2TT57, Pith's permanent record of this paper and its review
CitationAnn E. Nelson, Michael Dine. "Dynamical Supersymmetry Breaking at Low Energies." arXiv:hep-ph/9303230 (1993). https://pith.science/paper/4YF2TT57
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Referee report
The paper

The paper claims

The authors construct an explicit supersymmetric model in which supersymmetry breaks dynamically at multi-TeV energies, not at some inaccessible high scale, and the breaking reaches ordinary particles only through gauge interactions.

The reading

Supersymmetry is usually invoked to explain why the weak scale is so far below the Planck scale, but in the standard supergravity versions the breaking scale is inserted by hand and the soft masses are free parameters, so flavor-changing neutral currents and electric dipole moments have to be tuned away. Dine and Nelson ask whether supersymmetry can instead be broken dynamically by a new strong gauge sector at multi-TeV energies, with the breaking communicated to squarks, sleptons and gauginos purely by gauge loops. Two obstacles killed earlier attempts: the models came with an unwanted axion (a massless Goldstone boson of a spontaneously broken global symmetry) and with so many new colored fermions that QCD lost asymptotic freedom. The paper's claim is that both obstacles can be cleared at once, and it exhibits a working example: an $SU(7)'' times $SU(2)$ supercolor sector, a second strong group called R-color that gives the would-be axion a mass, and messenger fields carrying both R-color and ordinary gauge quantum numbers. If the construction holds, the superpartner spectrum becomes calculable from gauge quantum numbers alone, which is exactly what suppresses flavor violation, and the model makes concrete low-energy predictions rather than leaving the soft terms arbitrary.

What carries the argument

The load-bearing device is gauge mediation from a supercolor sector through messenger fields. Supersymmetry breaking is generated non-perturbatively in $SU(7)$ supersymmetric QCD with $N_f = N - 2$ flavors, where the exact superpotential $W = b Lambda^{(3N - N_f)/(N - N_f)} (det Phi)^{-1/(N - N_f)}$ is fixed by the flavor and $R$ symmetries; small superpotential couplings keep the $F$-terms small compared with the messenger mass scale, so the spectrum is nearly supersymmetric and masses can be computed in a systematic expansion. The messenger fields $f$, $bar f$ and $bar X$ then transmit the splitting to the standard-model superpartners through ordinary gauge loops, which is what makes the soft masses depend only on gauge quantum numbers and hence be flavor-blind. R-color, the unbroken diagonal $SU(3)$ of $SU(3)_L'' times $SU(3)_R$ and a subgroup of $SU(7)$, does double duty: it makes QCD only barely non-asymptotically free because the messenger exotic matter is integrated out below its scale, and its anomaly gives the pseudo-Goldstone boson a mass.

Extended reading notes

Core claim

The paper claims an existence proof: a supersymmetric model in which supersymmetry is broken dynamically at comparatively low energy and all the naturalness problems of conventional hidden-sector models are addressed. The supercolor sector is $SU(7)'' times $SU(2)$ with five flavors; $SU(7)$ gets strong and generates a non-perturbative superpotential $W_{np} = $Lambda^{8}$ / (det Phi)^{1/2}$, which together with the $D$-terms lifts the classical flat directions and produces small $F$-components. A gauged $SU(3)_L'' times $SU(3)_R$ subgroup survives as R-color, and the messenger fields $f$, $bar f$ and $bar X$ carry R-color as well as ordinary gauge quantum numbers. Because the messengers couple to ordinary fields only through gauge interactions, gauginos get mass at one loop, $m_i = (alpha_i/pi) langle F_{bar X} rangle / langle bar X rangle$, squarks and sleptons get positive mass-squared at two loops proportional to the quadratic Casimir of their representation, and the resulting spectrum is automatically degenerate across flavors. The same strong R-color group supplies an anomaly that gives the would-be axion a mass of order $Lambda_R^2 / Lambda_7$, which the authors argue can reach the few-MeV scale needed to satisfy astrophysical bounds. Electroweak breaking is arranged to come from a three-loop top-Yukawa contribution that drives the Higgs mass-squared negative, with a singlet $S$ and vector-like $5$ and $bar 5$ fields added to give a quartic coupling and masses for all fermions.

Load-bearing premise

The construction assumes, without exhibiting a parameter range, that the electroweak sector with the added singlet and vector-like fields has a vacuum in which all scalar masses are above the $Z$ mass, even though the authors concede a pseudoscalar in the GeV range survives.

Editorial extensions

If this is right

  • Squark and slepton masses are fixed by gauge quantum numbers up to logarithmic running, so flavor-changing neutral currents and new CP violation are suppressed without assuming degeneracy at a high scale.
  • The gaugino masses obey the same unification relations as in minimal supergravity, $m_3/g_3^2 approx m_2/g_2^2 approx (3/5) m_1/g_1^2$, when the messenger $F$-term is small compared with the messenger mass.
  • The spectrum is roughly predictive: slepton doublets near the weak scale, singlet sleptons around 100 GeV and possibly within reach of LEP II, squarks near 900 GeV.
  • The model requires at least one singlet and a set of mirror quarks and leptons at experimentally accessible energies, in addition to the MSSM fields.
  • QCD remains nearly asymptotically free, so the theory does not hit a Landau pole until extremely high energy, preserving the possibility of gauge coupling unification.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The construction is a template rather than a final model: any sector that breaks supersymmetry dynamically and carries a gauged flavor group large enough to contain a messenger $SU(3)$ can be plugged into the same gauge-mediation pipeline, so the search space is broader than the single $SU(7)'' times $SU(2)$ example.
  • Because the soft masses are generated at two loops and are flavor-blind by construction, the model predicts that the usual squark mass-insertion parameters are small, which makes it distinguishable from supergravity mediation by the pattern of $B$ and $K$ meson observables rather than by the overall mass scale alone.
  • The authors note a surviving light pseudoscalar in the GeV range and a heavy stable messenger fermion; both are the kind of relics that late-Universe cosmology and beam-dump or rare-decay searches could probe, so the cosmological and collider sides of the model are not independent tests.
  • The requirement that the two $SU(3)$ couplings be nearly equal to suppress a hypercharge Fayet-Iliopoulos term is a residue of grand unification; if the model is embedded in a unified group, that equality is automatic, which suggests the natural home for this construction is a unified theory rather than a standalone low-energy model.
Original abstract

Conventional approaches to supersymmetric model building suffer from several naturalness problems: they do not explain the large hierarchy between the weak scale and the Planck mass, and they require fine tuning to avoid large flavor changing neutral currents and particle electric dipole moments. The existence of models with dynamical supersymmetry breaking, which can explain the hierarchy, has been known for some time, but efforts to build such models have suffered from unwanted axions and difficulties with asymptotic freedom. In this paper, we describe an approach to model building with supersymmetry broken at comparatively low energies which solves these problems, and give a realistic example.

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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,071 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.07 · human participants 0.02 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.81 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Conventional approaches to supersymmetric model building suffer from several naturalness problems: they do not explain the large hierarchy between the weak scale and the Planck mass, and they require fine tuning to avoid large flavor changing neutral currents and particle electric dipole moments. The existence of models with dynamical supersymmetry breaking, which can explain the hierarchy, has been known for some time, but efforts to build such models have suffered from unwanted axions and difficulties with asymptotic freedom. In this paper, we describe an approach to model building with supersymmetry broken at comparatively low energies which solves these problems, and give a realistic example.

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 Conventional approaches to supersymmetric model building suffer from several naturalness problems: they do not explain the large hierarchy between the weak scale and the Planck mass, and they require fine tuning to avoid large flavor changing neutral currents and particle electric dipole moments. background 0.99 0.04 0.03 asserted 1.00
s1 The existence of models with dynamical supersymmetry breaking, which can explain the hierarchy, has been known for some time, but efforts to build such models have suffered from unwanted axions and difficulties with asymptotic freedom. background 0.81 0.04 0.03 asserted 1.00
s2 In this paper, we describe an approach to model building with supersymmetry broken at comparatively low energies which solves these problems, and give a realistic example. contribution 1.00 0.94 0.81 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.89 · evidence from proof or derivation 0.70.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • 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 3. These diagrams are logarithmically divergent. The upper cuto

Showing 1 of the paper's 3 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:hep-ph/9303230 by the authors.

References
How the literature uses it

172 arXiv papers cite this in 235 sentences

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

Papers citing it · 100 sentences without a confident label

Uses its method or tool 1 paper
  • In order to solve problems discussed in the previous section we will employ some of the tools proposed in the original GMSB models [ref] – namely we will introduce a secondary SUSY breaking sector.

    Cascade supersymmetry breaking and low-scale gauge mediation · Cascade supersymmetry breaking · 0.97

Compares with it 1 paper
Cites it as background 116 papers

Discussion

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