The anthropic principle and the mass scale of the Standard Model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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28 pages, LaTeX. No changes from version originally submitted to archive, except that problem with figure file has been correc

Scientific paper

10.1103/PhysRevD.57.5480

In theories in which different regions of the universe can have different values of the the physical parameters, we would naturally find ourselves in a region which has parameters favorable for life. We explore the range of anthropically allowed values of the mass parameter in the Higgs potential, $\mu^2$. For $\mu^2<0$, the requirement that complex elements be formed suggests that the Higgs vacuum expectation value $v$ must have a magnitude less than 5 times its observed value. For $\mu^2>0$, baryon stability requires that $|\mu|<

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