1994/07/22 by Marco Aurelio Díaz, Marco A. Diaz, Tonnis A. ter Veldhuis +2 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Electroweak interaction #Higgs boson #Higgs sector #Minimal Supersymmetric Standard Model #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Scalar (mathematics) #Standard Model (mathematical formulation) #Supersymmetry #hep-ph
paper · pdf · doi:10.1103/physrevd.54.5855
published as Phys.Rev. D54 (1996) 5855-5865 · 18 pages, 5 figures, VAND-TH-94-14
arxiv created 1994/07/22 · openalex publication_date 1996/11/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Vacuum stability and metastability imply lower limits on the mass of the Higgs boson in the standard model (SM). In contrast, we present an improved calculation of the lightest Higgs boson mass in supersymmetric (SUSY) models, by summing to all orders in perturbation theory the leading and next-to-leading logarithms with a renormalization group equation technique, and by including finite two-loop QCD corrections. We believe our result to be the most accurate available in the literature. The mass calculation leads to an upper bound on the Higgs boson mass when the SUSY-breaking scale is sensibly restricted to \ensuremath\lesssim1 TeV. In particular, our improvements to the SUSY Higgs boson mass calculation lower the minimal SUSY standard model (MSSM) upper limit by about 10 GeV. We study the possibility that these SM and MSSM bounds do not overlap, in which case a single Higgs boson mass measurement will distinguish between the two models. We find the following: (i) A gap emerges between the SM Higgs boson and the lightest MSSM Higgs boson at \ensuremath∼120 GeV for mt\ensuremath∼175 GeV and \ensuremathαs(MZ2)=0.118, and for mt\ensuremath∼180 GeV and more generous values \ensuremath∼(0.130) of \ensuremathαs, and between the SM and the minimal plus singlet SUSY model [(M+1)SSM] Higgs bosons if the independent scalar self-coupling of the latter is perturbatively small or if the tan\ensuremathβ parameter is small; these mass gaps widen with increasing mt; (ii) the mass gap emerges with mt 10 GeV lighter if only vacuum stability and not metastability is imposed; (iii) restricting tan\ensuremathβ to the values (\ensuremath∼1-2) preferred in supersymmetric grand unified theories, the lightest MSSM Higgs boson mass upper bound is reduced by at least 10 GeV (which implies no overlap between the SM and the MSSM bounds at even smaller values of mt); for mt\ensuremath∼175 GeV, the bound is mh\ensuremath\lesssim110 GeV. Thus, a measurement of the first Higgs boson mass will serve to exclude either the MSSM or ((M+1)SSM Higgs sectors or the SM Higgs sector. In addition, we discuss the upper bound on the lightest Higgs boson mass in SUSY models with an extended Higgs sector. Finally, we comment on the discovery potential for the lightest Higgs bosons in these models.