Constraints on the Higss and Top Quark Masses From Effective Potential and Non-Commutative Geometry

Details Constraints on the Higss and Top Quark Masses From Effective Potential and Non-Commutative Geometry Constraints on the Higss and Top Quark Masses From Effective Potential and Non-Commutative Geometry

1993-07-02

arxiv.org/abs/hep-ph/9307209v1

Phys.Lett. B314 (1993) 308-314

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, Zurich Preprint ZU-TH-16/1993

Scientific paper

10.1016/0370-2693(93)91241-E

We consider the standard model in the formulationo of non-commutative geometry, for a Euclidean space-time consisting of two copies. The electroweak scale is set by the vacuum expectation value of a scalar field and is undetermined at the classical level. By adding the Coleman-Weinberg effective potential, that scale turns out to be fixed. Provided that the renormalized form of the Lagrangian maintains the vanishing of the cosmological constant, we show that the only solutions for the minimization equations of the total potential occur in the narrow band $146.2 \le m_t \le 147.4 $ Gev for the top quark mass, with the corresponding Higgs mass $117.3 \le m_H\le 142.6$ Gev.

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