What question did this study set out to answer?

To derive the Higgs boson mass as an emergent property of a five-dimensional warped geometry.

February 12, 2026Open Access

Geometric Unification of Gauge and Higgs Fields: An A5 Origin for the Electroweak Scale

Key Points

To derive the Higgs boson mass as an emergent property of a five-dimensional warped geometry.
Derivation of Higgs mass through 5D warped geometry (AdS5)
Identification of the Higgs field as the fifth component of a unified gauge field
Calculation of the Coleman-Weinberg effective potential via Kaluza-Klein summation
Application of the warp factor kL = 38.44 and bulk localization parameters for fermions
Higgs mass derived as 126.09 GeV, aligning with experimental data
Elimination of the hierarchy problem through 5D gauge invariance
Achieved 99.21% accuracy in matching with experimental results

Abstract

This paper presents a formal derivation of the Higgs boson mass as an emergent propertyof a 5D warped geometry (AdS5). By identifying the Higgs field as the fifth component (A5)of a unified gauge field, we eliminate the hierarchy problem via 5D gauge invariance. Utilizingthe previously established warp factor kL = 38.44 and the bulk localization parametersfor the fermion sector, we calculate the Coleman-Weinberg effective potential through asummation of the Kaluza-Klein (KK) tower. Our results demonstrate that the Higgs massof 126.09 GeV is not a free parameter but a geometric requirement of the stabilized WilsonLine, matching experimental data with 99.21% accuracy. This work provides the final linkin the unification of the Standard Model forces within a singular geometric framework.

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