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

Physics – High Energy Physics – High Energy Physics - Theory

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7 pages, FTUAM-94/2, uses harvmac

Scientific paper

10.1016/0370-2693(94)90769-2

We study the evolution under the renormalization group of the restrictions on the parameters of the standard model coming from Non-Commutative Geometry, namely $m_{top} = 2\,m_W$ and $m_{Higgs} = 3.14 \, m_W$. 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 $\mu_0$.

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