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Non-Universalities in Pure Gravity Mediation
High Energy Physics - Phenomenology · Submitted 31 May 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This generalization allows us to greatly increase the allowed range in \tan \beta and it allows one to find viable solutions with lower m_{3/2}.
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The abstract, sentence by sentence
The simplest model of pure gravity mediation contains only two free parameters: the gravitino mass and \tan\beta. Scalar masses are universal at some high energy renormalization scale and gaugino masses are determined through anomalies and depend on the gravitino mass and the gauge couplings. This theory requires a relatively large gravitino mass (m_{3/2}\gtrsim 300\,TeV) and a limited range in \tan \beta \simeq 1.7--2.5. Here we generalize the theory to allow for non-universality in the Higgs soft masses. This introduces zero, one or two new free parameters associated with Higgs soft masses. This generalization allows us to greatly increase the allowed range in \tan \beta and it allows one to find viable solutions with lower m_{3/2}. The latter is important if we hope to find a low energy signal from gluinos. Some special cases of these non-universalities are suggestive of Higgs bosons as Nambu-Goldstone bosons or a partial no-scale structure for the Higgs doublets. Thus, we probe signatures at the weak scale and structures at the GUT and/or Planck scale.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The simplest model of pure gravity mediation contains only two free parameters: the gravitino mass and \tan\beta. | background 1.00 | 0.09 | 0.03 | asserted 1.00 |
| s1 | Scalar masses are universal at some high energy renormalization scale and gaugino masses are determined through anomalies and depend on the gravitino mass and the gauge couplings. | background 1.00 | 0.08 | 0.03 | asserted 1.00 |
| s2 | This theory requires a relatively large gravitino mass (m_{3/2}\gtrsim 300\,TeV) and a limited range in \tan \beta \simeq 1.7--2.5. | background 0.96 | 0.13 | 0.05 | asserted 1.00 |
| s3 | Here we generalize the theory to allow for non-universality in the Higgs soft masses. | contribution 0.97 | 0.84 | 0.06 | asserted 0.96 |
| s4 | This introduces zero, one or two new free parameters associated with Higgs soft masses. | contribution 0.70 | 0.69 | 0.07 | asserted 0.99 |
| s5 | This generalization allows us to greatly increase the allowed range in \tan \beta and it allows one to find viable solutions with lower m_{3/2}. | result 0.95 | 0.83 | 0.61 | asserted 0.91 |
| s6 | The latter is important if we hope to find a low energy signal from gluinos. | interpretation 0.96 | 0.13 | 0.07 | hedged possibility 0.44 |
| s7 | Some special cases of these non-universalities are suggestive of Higgs bosons as Nambu-Goldstone bosons or a partial no-scale structure for the Higgs doublets. | interpretation 0.81 | 0.49 | 0.08 | hedged possibility 0.96 |
| s8 | Thus, we probe signatures at the weak scale and structures at the GUT and/or Planck scale. | contribution 0.64 | 0.74 | 0.11 | asserted 0.95 |
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The paper
Original abstract
The simplest model of pure gravity mediation contains only two free parameters: the gravitino mass and \tan\beta. Scalar masses are universal at some high energy renormalization scale and gaugino masses are determined through anomalies and depend on the gravitino mass and the gauge couplings. This theory requires a relatively large gravitino mass (m_{3/2}\gtrsim 300\,TeV) and a limited range in \tan \beta \simeq 1.7--2.5. Here we generalize the theory to allow for non-universality in the Higgs soft masses. This introduces zero, one or two new free parameters associated with Higgs soft masses. This generalization allows us to greatly increase the allowed range in \tan \beta and it allows one to find viable solutions with lower m_{3/2}. The latter is important if we hope to find a low energy signal from gluinos. Some special cases of these non-universalities are suggestive of Higgs bosons as Nambu-Goldstone bosons or a partial no-scale structure for the Higgs doublets. Thus, we probe signatures at the weak scale and structures at the GUT and/or Planck scale.
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References
How the literature uses it
23 arXiv papers cite this in 51 sentences
Papers citing it · 37 sentences without a confident label
Builds on it 2 papers
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In this work, we examine a slightly more generic scenario with non-universal Higgs masses [ref] .
Higgsino Dark Matter in Pure Gravity Mediated Supersymmetry · Pure Gravity Mediation · 0.93
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It is also possible to extend this mechanism to more generic models in which the Higgs doublets emerge as Goldstone modes of approximate symmetries [ref] such as models with $SU(3)/SU(2)×U(1)$ [ref] .
Flat Higgs Potential from Planck Scale Supersymmetry Breaking · Discussions · 0.88
Compares with it 2 papers
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Note also that the Higgs masses calculated here differ slightly from those calculated in [ref] as here we are not imposing strict gauge coupling unification at the GUT scale.] for $tanβ$ roughly between 4–9 as shown by the red dot-dashed curves.
SU(5) Grand Unification in Pure Gravity Mediation · Results · 0.98
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Note, however, that the $A$-terms in this case are not suppressed by a loop factor contrary to other split-SUSY models based on anomaly mediation [ref] (see, for instance, Refs. [ref] ).
Naturalizing Supersymmetry with a Two-Field Relaxion Mechanism · The MSSM sector · 0.86
Cites it as support 1 paper
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In order to reconcile the proton lifetime with the relic density and Higgs mass, we need to consider lower values of $tanβ$ [ref] , which can be accomplished when the GM terms ([ref]) are included [ref] .
No-Scale SU(5) Super-GUTs · Vacuum Conditions and Renormalization-Group Equations · 0.96
Cites it as background 8 papers
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For more details see [ref] .
Higgsino Dark Matter in Pure Gravity Mediated Supersymmetry · Pure Gravity Mediation · 0.99
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The special case $α=0$ and $β=1$, meaning $A_0≈B_0≈0$, is called pure gravity-mediated (PGM) models [ref] where the gaugino masses, $A$ and $B$ terms are determined by anomaly mediation [ref] leaving only the gravitino mass $m_3/2=m_0$ as a free parameter.
Starobinsky-like inflation and soft-SUSY breaking · Case II: pure gravity SUSY breaking · 0.91
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We restrict our attention to a minimal SU(5) superGUT model in the context of PGM [ref] .
A Minimal SU(5) SuperGUT in Pure Gravity Mediation · Model · 0.82
What it cites · 43 sentences without a confident label
Builds on 3 papers
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Here we generalize these PGM models to allow for Higgs mass non-universality as in the non-universal Higgs mass (NUHM) models [ref] .
The MSSM Parameter Space with Non-Universal Higgs Masses · Introduction · 0.80
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Here we generalize these PGM models to allow for Higgs mass non-universality as in the non-universal Higgs mass (NUHM) models [ref] .
Neutralino Cold Dark Matter in a One Parameter Extension of the Minimal Supergravity Model · Introduction · 0.80
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Here we generalize these PGM models to allow for Higgs mass non-universality as in the non-universal Higgs mass (NUHM) models [ref] .
Implications of non-universality of soft terms in supersymmetric grand unified theories · Introduction · 0.80
Uses data or values from 1 paper
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Furthermore, it was shown that for $μ< 0$, thermal (wino) dark matter with a relic density equal to the WMAP/Planck [ref] determined value is expected when $m_3/2 = 460$–$500$ TeV.
Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results · Introduction · 0.90
Cites as support 1 paper
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Thus, since Kähler potential itself is invariant under the $SU(4)$ symmetry, the non-linear sigma-model can be safely coupled to the supergravity without spoiling the symmetry [ref] .
Coupling Supersymmetric Nonlinear Sigma Models to Supergravity · Higgs doublets as Nambu-Goldstone Bosons · 0.98
Cites as background 1 paper
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The construction of universal PGM models was described in detail in [ref] .
Universality in Pure Gravity Mediation · PGM and Non-Universality · 0.87
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