Recognition: 2 theorem links
· Lean TheoremNon-Holomorphic Impact on t-b-τ Yukawa Unification in minimal GMSB
Pith reviewed 2026-05-08 19:35 UTC · model grok-4.3
The pith
Non-holomorphic terms enable t-b-τ Yukawa unification in minimal GMSB for μ>0, producing solutions with Higgs-mass consistency, charginos as light as 120 GeV, and staus around 600 GeV that are testable via lifetime and compressed-spectra searches.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
We find that the chargino can be lighter than 1 TeV and it is degenerate with the lightest neutralino in most of such solutions. Consistent solutions in this region can accommodate charginos as light as about 120 GeV... stau is realized to be another light supersymmetric particle... as light as about 600 GeV consistently.
Load-bearing premise
That non-zero non-holomorphic soft terms can be introduced while preserving the minimal GMSB structure, maintaining consistency with all other low-energy constraints, and without generating new instabilities or violating theoretical bounds on the soft-term sector.
read the original abstract
We study and explore the low scale implications of Yukawa unification in the minimal gauge mediated supersymmetry breaking models. We also assume non-zero non-holomorphic terms, with which the YU solutions can be accommodated in the cases with $\mu > 0$. These results can be considered a direct effect from the non-holomorphic terms, but they also lead to testable low scale implications compatible with YU. We observe abundant solutions consistent with the Higgs boson mass. This constraint leads to heavy strongly interacting supersymmetric particles, while the electroweak sector can be realized relatively lighter and they can be probed by several experiments. We find that the chargino can be lighter than 1 TeV and it is degenerate with the lightest neutralino in most of such solutions. Consistent solutions in this region can accommodate charginos as light as about 120 GeV, and they will be tested more likely soon by the analyses over the compressed spectra. These solutions are also be subjected in the lifetime analyses. Our analyses identify such light charginos decaying in about $10^{-2}$ ns. Probing such points may need a slight improvement in sensitivity of the analyses, and one can expect them to be tested very soon. In the same region, stau is realized to be another light supersymmetric particle, and some of the solutions can be inconsistently lighter. We find that it can weigh as light as about 600 GeV consistently, and it can be tested also soon over its lifetime. We summarize and also exemplify our findings with five benchmark scenarios. Most of the benchmark solutions also reveal that the solutions can be tested in heavy Higgs boson searches, which shape the whole Higgs boson spectrum in models.
Editorial analysis
A structured set of objections, weighed in public.
Axiom & Free-Parameter Ledger
free parameters (2)
- non-holomorphic soft-term coefficients
- GMSB messenger scale and number of messengers
axioms (2)
- domain assumption Minimal gauge-mediated supersymmetry breaking framework
- domain assumption t-b-τ Yukawa unification imposed at the GUT scale
Lean theorems connected to this paper
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IndisputableMonolith.Foundation.RealityFromDistinction (parameter-free forcing chain)reality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We perform random scans over the fundamental parameters listed above by employing the Metropolis-Hastings algorithm... 10^3 ≤ Λ ≤ 10^8 GeV, 10^6 ≤ M_Mess ≤ 10^16 GeV, 35 ≤ tanβ ≤ 60, -20 ≤ μ′ ≤ 20 TeV
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IndisputableMonolith.Cost (J(x)=½(x+x⁻¹)−1, ratio-symmetric cost)washburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
The leading order threshold contributions ... δ^H_{y_b} ≈ (g_3^2/12π²)(μ M_3 tanβ / m²_{b̃}) + (y_t²/32π²)(μ A_t tanβ / m²_{t̃})
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
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