Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
21/2006

Dirac Type Gauge Theories and the Mass of the Higgs Boson

Jürgen Tolksdorf and Torsten Thumstädter

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 ${\rm m}_H = 188 \pm 15 \;{\rm GeV}.$ 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.

Received:
Feb 17, 2006
Published:
Feb 17, 2006
MSC Codes:
53C07, 81T13, 81T17, 81V05, 81V10, 81V15
PACS:
11.15.Ex, 12.10.Dm, 14.80.Bn
Keywords:
dirac type operators, Quantum Field Theory, Standard Model, Higgs Mass

Related publications

inJournal
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