The effective potential and the renormalisation group

Details The effective potential and the renormalisation group The effective potential and the renormalisation group

1992-10-27

arxiv.org/abs/hep-lat/9210033v1

Nucl.Phys. B395 (1993) 17-34

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages plus three PostScript figures (appended), Liverpool preprint LTH 288, University of Michigan preprint UM-TH-92-21

Scientific paper

10.1016/0550-3213(93)90206-5

We discuss renormalisation group improvement of the effective potential both
in general and in the context of $O(N)$ scalar $\p^4$ and the Standard Model.
In the latter case we find that absolute stability of the electroweak vacuum
implies that $m_H\geq 1.95m_t-189~GeV$, for $\as (M_Z) = 0.11$. We point out
that the lower bound on $m_H$ {\it decreases\/} if $\as (M_Z)$ is increased.

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