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Viable range of the mass scale of the standard model

1997/07/29 by Vivek Agrawal, V. Agrawal, S. M. Barr +3 · 5 citations
Engineering · Physics and Astronomy · #Aerospace engineering #Cartography #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Engineering #Environmental science #Geography #Materials science #Metallurgy #Particle physics theoretical and experimental studies #Range (aeronautics) #Scale (ratio) #Standard Model (mathematical formulation) #hep-ph

paper · pdf · doi:10.1103/physrevd.57.5480

published as Phys.Rev.D57:5480-5492,1998 · 28 pages, LaTeX. No changes from version originally submitted to archive, except that problem with figure file has been corrected

arxiv created 1997/07/29 · openalex publication_date 1998/05/01 · arxiv updated 2011/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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, \ensuremathμ2. For \ensuremathμ2<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 \ensuremathμ2>0, baryon stability requires that |\ensuremathμ|\ensuremath≪MP, the Planck mass. Smaller values of |\ensuremathμ2| may or may not be allowed depending on issues of element synthesis and stellar evolution. We conclude that the observed value of \ensuremathμ2 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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