Convergence of the 10⁷ GeV Cutoff: From Higgs Decay Width to the Generalized Uncertainty Principle

Determining a fundamental spacetime cutoff generally relies on extrapolative assumptions from the Planck scale or Grand Unified Theories (GUT). In this brief report, we present a phenomenological approach to identifying this cutoff. From the decay width of the Higgs boson (Γ_H ≈ 4.1 MeV), we derive an energy cutoff scale at Λ_SVL ≈ 1.2 × 10⁷ GeV. Notably, this single value concurrently yields consistent results across three independent domains: (1) estimating the lightest neutrino mass at 10⁻⁵ eV, (2) establishing a finite maximum energy density limit for the early universe, and (3) defining a minimum length a₀ ≈ 10⁻²³ m, consistent with the Generalized Uncertainty Principle (GUP).

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-28
DOI
https://doi.org/10.5281/zenodo.21643465
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
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article

Convergence of the 10⁷ GeV Cutoff: From Higgs Decay Width to the Generalized Uncertainty Principle

Ngoc Bao La
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
article

Convergence of the 10⁷ GeV Cutoff: From Higgs Decay Width to the Generalized Uncertainty Principle

Ngoc Bao La
article en

Abstract

Determining a fundamental spacetime cutoff generally relies on extrapolative assumptions from the Planck scale or Grand Unified Theories (GUT). In this brief report, we present a phenomenological approach to identifying this cutoff. From the decay width of the Higgs boson (Γ_H ≈ 4.1 MeV), we derive an energy cutoff scale at Λ_SVL ≈ 1.2 × 10⁷ GeV. Notably, this single value concurrently yields consistent results across three independent domains: (1) estimating the lightest neutrino mass at 10⁻⁵ eV, (2) establishing a finite maximum energy density limit for the early universe, and (3) defining a minimum length a₀ ≈ 10⁻²³ m, consistent with the Generalized Uncertainty Principle (GUP).

Zenodo (CERN European Organization for Nuclear Research)
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