REVIEW
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.
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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
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
- 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.
The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 was examined, and what was not
- arXiv listing abstract v2
- full text
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- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
Figures
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
Papers citing it · 100 sentences without a confident label
Uses its method or tool 1 paper
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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
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The first scenario corresponds to the messenger content of the minimal GSMB model [ref] and, as such, provides an interesting point of comparison for dark GSMB.
Dark gauge-mediated supersymmetry breaking with a massless dark photon · Introduction · 0.86
Cites it as background 116 papers
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Let us start with working in gauge mediated supersymmetry breaking (GMSB) models [ref] as a promising way of realizing the sub-GeV $U(1)_X$ sector.
Dark matter and sub-GeV hidden U(1) in GMSB models · Spontaneous breaking of hidden $U(1)_X$ by gauge mediation · 0.80
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The minimal gauge mediation (mGMSB) [ref] is probably the most famous model of GMSB and still continues to be a viable possibility.
Aspects of Non-minimal Gauge Mediation · Introduction · 0.97
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In the usual GMSB scenario [ref] , the messenger fields are adopted as complete multiplets under $SU(5)$.
Gauge-mediated supersymmetry breaking with generalized messenger sector at LHC · Introduction · 0.97
Discussion
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