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Viable range of the mass scale of the standard model Export

Physical Review D, Vol. 57, No. 9. (1 May 1998), 5480.

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anthropic finetuning naturalness qcd

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In theories in which different regions of the universe can have different values of certain physical parameters; we would naturally find ourselves in a region where they take values favorable for life. We explore the range of such viable values of the mass parameter in the Higgs potential; μ 2 . For μ 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 μ 2 > 0; baryon stability requires that | μ | ⪠M P ; the Planck mass. Smaller values of | μ 2 | may or may not be allowed depending on issues of element synthesis and stellar evolution. We conclude that the observed value of μ 2 appears reasonably typical of the viable range; and a multiple-domain scenario may provide a plausible explanation for the closeness of the QCD scale and the weak scale.


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