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 ${\mu }_0$.

Comments: 7 pages, FTUAM-94/2, uses harvmac