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This research aims to explore the relationship between the Higgs boson mass and its vacuum expectation value using mathematical derivations.

March 8, 2026Open Access

The Higgs Boson Mass and Vacuum Expectation Value

Key Points

This research aims to explore the relationship between the Higgs boson mass and its vacuum expectation value using mathematical derivations.
Calculated the vacuum expectation value using Fibonacci numbers
Deriving Higgs boson mass from the vacuum expectation value
Compared theoretical values with experimental measurements
The calculated vacuum expectation value is 246 GeV, matching closely with the experimental value of 246.22 GeV
The derived Higgs boson mass is 125 GeV, closely aligning with the experimental value of 125.10 GeV
Established a mass ratio of Higgs boson to Z boson that suggests a mathematical relationship

Abstract

We show that the Higgs vacuum expectation value is a sum of Fibonacci numbers, v = F₁₂ + F₇ = 233 + 13 = 246~GeV (experimental: 246. 22~GeV, error 0. 09\%), and that the Higgs boson mass follows as mH = v/F₃ + F₃ = 246/2 + 2 = 125~GeV (experimental: 125. 10~GeV, error 0. 008\%). The ratio mH/mZ = lpha^-1/100 = 1. 370 (error

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Jason W.

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The Higgs Boson Mass and Vacuum Expectation Value

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