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Little Supersymmetry and the Supersymmetric Little Hierarchy Problem

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Andreas Birkedal, Z. Chacko, Mary K. Gaillard

High Energy Physics - Phenomenology · Submitted 22 Apr 2004

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We propose a solution to this `supersymmetric little hierarchy problem'.

how it is stated · asserted 0.95 read the record →

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arXiv IDhep-ph/0404197 (version 2)
Pith IDB44XBLSK, Pith's permanent record of this paper and its review
CitationAndreas Birkedal, Mary K. Gaillard, Z. Chacko. "Little Supersymmetry and the Supersymmetric Little Hierarchy Problem." arXiv:hep-ph/0404197 (2004). https://pith.science/paper/B44XBLSK
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The compiled record

The paper's own sentences, arranged. 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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 8,165 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.59 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.94 · compares with prior results 0.34 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The current experimental lower bound on the Higgs mass significantly restricts the allowed parameter space in most realistic supersymmetric models, with the consequence that these models exhibit significant fine-tuning. We propose a solution to this `supersymmetric little hierarchy problem'. We consider scenarios where the stop masses are relatively heavy - in the 500 GeV to a TeV range. Radiative stability of the Higgs soft mass against quantum corrections from the top quark Yukawa coupling is achieved by imposing a global SU(3) symmetry on this interaction. This global symmetry is only approximate - it is not respected by the gauge interactions. A subgroup of the global symmetry is gauged by the familiar SU(2) of the Standard Model. The physical Higgs is significantly lighter than the other scalars because it is the pseudo-Goldstone boson associated with the breaking of this symmetry. Radiative corrections to the Higgs potential naturally lead to the right pattern of gauge and global symmetry breaking. We show that both the gauge and global symmetries can be embedded into a single SU(6) grand unifying group, thereby maintaining the prediction of gauge coupling unification. Among the firm predictions of this class of models are new states with the quantum numbers of 10 and $\bar{10}$ under SU(5) close to the TeV scale. The Higgs mass is expected to be below 130 GeV, just as in the MSSM.

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 The current experimental lower bound on the Higgs mass significantly restricts the allowed parameter space in most realistic supersymmetric models, with the consequence that these models exhibit significant fine-tuning. background 1.00 0.05 0.04 asserted 1.00
s1 We propose a solution to this `supersymmetric little hierarchy problem'. contribution 0.99 0.85 0.30 asserted 0.95
s2 We consider scenarios where the stop masses are relatively heavy - in the 500 GeV to a TeV range. method 0.55 0.50 0.04 asserted 0.72
s3 Radiative stability of the Higgs soft mass against quantum corrections from the top quark Yukawa coupling is achieved by imposing a global SU(3) symmetry on this interaction. method 0.72 0.73 0.19 asserted 1.00
s4 This global symmetry is only approximate - it is not respected by the gauge interactions. method 0.50 0.47 0.04 asserted 1.00
s5 A subgroup of the global symmetry is gauged by the familiar SU(2) of the Standard Model. method 0.64 0.53 0.05 asserted 1.00
s6 The physical Higgs is significantly lighter than the other scalars because it is the pseudo-Goldstone boson associated with the breaking of this symmetry. result 0.54 0.61 0.22 asserted 1.00
s7 Radiative corrections to the Higgs potential naturally lead to the right pattern of gauge and global symmetry breaking. result 0.87 0.77 0.11 asserted 0.93
s8 We show that both the gauge and global symmetries can be embedded into a single SU(6) grand unifying group, thereby maintaining the prediction of gauge coupling unification. contribution 0.60 0.86 0.16 asserted 0.93
s9 Among the firm predictions of this class of models are new states with the quantum numbers of 10 and $\bar{10}$ under SU(5) close to the TeV scale. result 0.88 0.79 0.12 asserted 0.94
s10 The Higgs mass is expected to be below 130 GeV, just as in the MSSM. result 0.89 0.57 0.12 hedged possibility 0.66

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.51.

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

The paper
Original abstract

The current experimental lower bound on the Higgs mass significantly restricts the allowed parameter space in most realistic supersymmetric models, with the consequence that these models exhibit significant fine-tuning. We propose a solution to this `supersymmetric little hierarchy problem'. We consider scenarios where the stop masses are relatively heavy - in the 500 GeV to a TeV range. Radiative stability of the Higgs soft mass against quantum corrections from the top quark Yukawa coupling is achieved by imposing a global SU(3) symmetry on this interaction. This global symmetry is only approximate - it is not respected by the gauge interactions. A subgroup of the global symmetry is gauged by the familiar SU(2) of the Standard Model. The physical Higgs is significantly lighter than the other scalars because it is the pseudo-Goldstone boson associated with the breaking of this symmetry. Radiative corrections to the Higgs potential naturally lead to the right pattern of gauge and global symmetry breaking. We show that both the gauge and global symmetries can be embedded into a single SU(6) grand unifying group, thereby maintaining the prediction of gauge coupling unification. Among the firm predictions of this class of models are new states with the quantum numbers of 10 and $\bar{10}$ under SU(5) close to the TeV scale. The Higgs mass is expected to be below 130 GeV, just as in the MSSM.

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References
How the literature uses it

20 arXiv papers cite this in 23 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 · 10 sentences without a confident label

Compares with it 1 paper
Cites it as background 11 papers
  • One possibility is to make the Higgs a pseudo-Goldstone boson (pGB) of a global symmetry broken at the scale $f v_EW$ [ref] (see also [ref] for earlier applications of Goldstone bosons in supersymmetric theories).

    Charming Higgs · Introduction · 0.85

  • This approach [ref] is referred to as the double protection of the Higgs potential or as the super-little Higgs[For early attempts of supersymmetric theories with a pGB Higgs see [ref] ].

    Buried Higgs · Introduction · 0.93

  • One prominent idea is to combine the broken global symmetry and supersymmetry, to enforce a “double protection” (or “super-little Higgs”) mechanism [ref] on the EWSB scale whose natural value is then expected to be of the order [equation] where the cutoff $Λ$ of the MSSM is replaced by the global symmetry breaking scale $f∼$ few $×$ TeV.

    SUSY without the Little Hierarchy · Introduction · 0.81

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