Dirac Type Gauge Theories and the Mass of the Higgs Boson

Jürgen Tolksdorf and Torsten Thumstädter

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Submission date: 17. Feb. 2006
Pages: 30
published in: Journal of physics / A, 40 (2007) 31, p. 9691-9716 
DOI number (of the published article): 10.1088/1751-8113/40/31/035
Bibtex
MSC-Numbers: 53C07, 81T13, 81T17, 81V05, 81V10, 81V15
PACS-Numbers: 11.15.Ex, 12.10.Dm, 14.80.Bn
Keywords and phrases: dirac type operators, Quantum Field Theory, Standard Model, Higgs Mass
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Abstract:
We discuss the mass of the (physical component of the) Higgs boson in one-loop and top-quark mass approximation. For this the minimal Standard Model is regarded as a specific (parameterized) gauge theory of Dirac type. It is shown that the latter formulation, in contrast to the usual description of the Standard Model, gives a definite value for the Higgs mass. The predicted value for the Higgs mass (in natural units) is given by Although the Higgs mass is predicted to be near the upper bound, is in full accordance with the range that is allowed by the Standard Model.

We show that the inclusion of (Dirac) massive neutrinos does not alter the results presented. We also briefly discuss how the derived mass value is related to those obtained within the frame of non-commutative geometry.