MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Dirac Type Gauge Theories and the Mass of the Higgs Boson

Jürgen Tolksdorf and Torsten Thumstädter


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 ${\rm m}_H = 188 \pm 15 \;{\rm GeV}.$ Although the Higgs mass is predicted to be near the upper bound, ${\rm m}_H$ is in full accordance with the range $114 < {\rm m}_H < 193 \;{\rm GeV}$ 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.

MSC Codes:
53C07, 81T13, 81T17, 81V05, 81V10, 81V15
11.15.Ex, 12.10.Dm, 14.80.Bn
dirac type operators, Quantum Field Theory, Standard Model, Higgs Mass

Related publications

2007 Repository Open Access
Jürgen Tolksdorf and Torsten Thumstädter

Dirac-type gauge theories and the mass of the Higgs boson

In: Journal of physics / A, 40 (2007) 31, pp. 9691-9716