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Decoupling heavy sparticles in Effective SUSY scenarios: Unification, Higgs masses and tachyon bounds
High Energy Physics - Phenomenology · Submitted 12 Apr 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim A 125 GeV Higgs is compatible with stops/sbottoms at around 300 GeV with non-universal boundary conditions at the scale of the heavy sparticles if some of the trilinear couplings at this scale take values of the order of 1-2 TeV; if more constrained boundary conditions inspired by msugra or gauge mediation are set at a higher scale, heavier colored sparticles are required in general.
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The abstract, sentence by sentence
Using two-loop renormalization group equations implementing the decoupling of heavy scalars, Effective SUSY scenarios are studied in the limit in which there is a single low energy Higgs field. Gauge coupling unification is shown to hold with similar or better precision than in standard MSSM scenarios. b-tau unification is examined, and Higgs masses are computed using the effective potential, including two-loop contributions from scalars. A 125 GeV Higgs is compatible with stops/sbottoms at around 300 GeV with non-universal boundary conditions at the scale of the heavy sparticles if some of the trilinear couplings at this scale take values of the order of 1-2 TeV; if more constrained boundary conditions inspired by msugra or gauge mediation are set at a higher scale, heavier colored sparticles are required in general. Finally, since the decoupled RG flow for third-generation scalar masses departs very significantly from the MSSM DR-bar one, tachyon bounds for light scalars are revisited and shown to be relaxed by up to a TeV or more.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Using two-loop renormalization group equations implementing the decoupling of heavy scalars, Effective SUSY scenarios are studied in the limit in which there is a single low energy Higgs field. | method 0.73 | 0.84 | 0.06 | asserted 0.77 |
| s1 | Gauge coupling unification is shown to hold with similar or better precision than in standard MSSM scenarios. b-tau unification is examined, and Higgs masses are computed using the effective potential, including two-loop contributions from scalars. | result 0.87 | 0.93 | 0.15 | asserted 1.00 |
| s2 | A 125 GeV Higgs is compatible with stops/sbottoms at around 300 GeV with non-universal boundary conditions at the scale of the heavy sparticles if some of the trilinear couplings at this scale take values of the order of 1-2 TeV; if more constrained boundary conditions inspired by msugra or gauge mediation are set at a higher scale, heavier colored sparticles are required in general. | result 1.00 | 0.89 | 0.36 | hedged possibility 0.74 |
| s3 | Finally, since the decoupled RG flow for third-generation scalar masses departs very significantly from the MSSM DR-bar one, tachyon bounds for light scalars are revisited and shown to be relaxed by up to a TeV or more. | result 0.98 | 0.93 | 0.22 | asserted 1.00 |
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The paper
Original abstract
Using two-loop renormalization group equations implementing the decoupling of heavy scalars, Effective SUSY scenarios are studied in the limit in which there is a single low energy Higgs field. Gauge coupling unification is shown to hold with similar or better precision than in standard MSSM scenarios. b-tau unification is examined, and Higgs masses are computed using the effective potential, including two-loop contributions from scalars. A 125 GeV Higgs is compatible with stops/sbottoms at around 300 GeV with non-universal boundary conditions at the scale of the heavy sparticles if some of the trilinear couplings at this scale take values of the order of 1-2 TeV; if more constrained boundary conditions inspired by msugra or gauge mediation are set at a higher scale, heavier colored sparticles are required in general. Finally, since the decoupled RG flow for third-generation scalar masses departs very significantly from the MSSM DR-bar one, tachyon bounds for light scalars are revisited and shown to be relaxed by up to a TeV or more.
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How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it · 1 sentence without a confident label
Uses its method or tool 1 paper
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Initially guessing values for $ĝ_s(m_g̃)$ and $γ_s(m_g̃)$, we run up to the scale $m_q̃$, where we apply the $$ matching conditions [ref] [equation] We then run down to $m_g̃$ and again set the QCD coupling to the correct value determined initially.
Flavour constraints on scenarios with two or three heavy squark generations · Beta functions · 0.98
What it cites · 17 sentences without a confident label
Builds on 1 paper
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[ref] in the approximation that neglects $g_1, g_2$, the Yukawas of the first two generations, light quark masses and the mixing of charginos and neutralinos; to adapt the results for Effective SUSY scenarios, the terms involving the heavy Higgs states in the MSSM are dropped and the MSSM Yukawas are appropriately matched with the Effective SUSY ones.
Precision Corrections in the Minimal Supersymmetric Standard Model · Low scale threshold corrections · 0.89
Uses the method or tool of 5 papers
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[ref] to perform a two-loop analysis of some basic properties of Effective SUSY scenarios with a Standard Model-like Higgs.
Decoupling heavy sparticles in hierarchical SUSY scenarios: Two-loop Renormalization Group equations · Introduction · 0.88
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[ref] were used below the scales of the heavy sparticles, and the well known MSSM $DR$ RG equations [ref] above it; various one-loop threshold effects were included in the analysis.
Two-Loop Renormalization Group Equations for Soft Supersymmetry-Breaking Couplings · Conclusions · 1.00
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[ref] , [equation] where the one-loop contribution is given in terms of the tree-level mass-squared eigenvalues of fermions, real scalars and vector fields in a given background as [equation] while the 2-loop contribution due to scalars can be expressed as [equation] [equation] where the indices $i,j,k$ are summed over, and the couplings $λ'_ijk,λ'_ijkl$ are the trilinear and quartic couplings of the Lagrangian written in terms of real scalars and evaluated on a given background, in the basis ${S'}$ on which the mass matrices in the background are diagonal.
Two-loop effective potential for a general renormalizable theory and softly broken supersymmetry · Effective potential · 0.98
Compares with 3 papers
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These results are qualitatively similar to those obtained in the MSSM without imposing an inverted hierarchy in the squark sector [ref] ; the present analysis also contemplates the possibility of large $a$ terms in the down sector, which may also give rise to a 125 GeV Higgs with light stops/sbottoms even with small or moderate values of $a_u$; this signals that quantum corrections coming from the down sector can become relevant.
A Natural SUSY Higgs Near 125 GeV · Introduction · 0.95
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These results are qualitatively similar to those obtained in the MSSM without imposing an inverted hierarchy in the squark sector [ref] ; the present analysis also contemplates the possibility of large $a$ terms in the down sector, which may also give rise to a 125 GeV Higgs with light stops/sbottoms even with small or moderate values of $a_u$; this signals that quantum corrections coming from the down sector can become relevant.
Implications of a 125 GeV Higgs for the MSSM and Low-Scale SUSY Breaking · Introduction · 0.95
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These results are qualitatively similar to those obtained in the MSSM without imposing an inverted hierarchy in the squark sector [ref] ; the present analysis also contemplates the possibility of large $a$ terms in the down sector, which may also give rise to a 125 GeV Higgs with light stops/sbottoms even with small or moderate values of $a_u$; this signals that quantum corrections coming from the down sector can become relevant.
A 125 GeV SM-like Higgs in the MSSM and the $\gamma \gamma$ rate · Introduction · 0.95
Cites as background 1 paper
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Regarding unification, it is known that the MSSM $DR$ couplings at two-loops unify to great precision, of around 1-3%, requiring negative threshold corrections at the GUT scale for the strong coupling [ref] .
Precision Corrections in the Minimal Supersymmetric Standard Model · Introduction · 0.81
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