A Renormalization Group Analysis of the NCG constraints $m_{top} = 2\,m_W}$, $m_{Higgs}=3.14m_W$

Abstract

We study the evolution under the renormalization group of the restrictions on the parameters of the standard model coming from Non-Commutative Geometry, namely $m_{top}=2m_W$ and $m_{Higgs}=3.14m_W$. We adopt the point of view that these relations are to be interpreted as {\it tree level} constraints and, as such, can be implemented in a mass independent renormalization scheme only at a given energy scale ${\mu }_0$. We show that the physical predictions on the top and Higgs masses depend weakly on ${\mu }_0$.

7 pages, FTUAM-94/2, uses harvmac

References in corpus (3)

• Grand Unification in Non-Commutative Geometry
• Parameter restrictions in a non-commutative geometry model do not survive standard quantum corrections
• Remarks on Alain Connes' approach to the standard model

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• Linear Connections in Non-Commutative Geometry
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• On summability of distributions and spectral geometry
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• The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model
• The Standard Model a la Connes-Lott
• Noncommutative Kaluza-Klein Theory
• Spectral action and big desert
• Hamilton Formalism in Non-Commutative Geometry
• Connes' interpretation of the Standard Model and massive neutrinos
• Fuzzy Mass Relations for the Higgs
• BRST invariant Lagrangian of spontaneously broken gauge theories in noncommutative geometry
• Generalized Gauge Theories and Weinberg-Salam Model with Dirac-Kähler Fermions
• BRST invariant formulation of spontaneously broken gauge theory in generalized differential geometry