Mathematics – Logic
Scientific paper
Jan 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995phdt........48w&link_type=abstract
Thesis (PH.D.)--THE UNIVERSITY OF MICHIGAN, 1995.Source: Dissertation Abstracts International, Volume: 56-04, Section: B, page:
Mathematics
Logic
Higgs Boson, Bottom Quark
Scientific paper
Supersymmetry, the symmetry which connects bosons to fermions, has matured into the most elegant and natural extension to the Standard Model of electroweak and strong interactions. This thesis is a study of several low energy experimental signatures of supersymmetry which derives from a high scale origin. First, the Higgs boson mass in supersymmetry is calculated. It is found that there is an upper bound on the lightest Higgs boson of 150 GeV in general supersymmetric theories if one imposes "perturbative validity"--couplings do not go strong below the high scale, taken to be 10 ^{16}GeV. Signatures at high energy colliders are next detailed. It is found that the observable Br(b to sgamma ) is not in the position to significantly constrain or detect supersymmetry. However, a calculation of higher order QCD corrections could make Br(b to sgamma) one of the most sensitive probes of supersymmetry available. The experimentally measured ratio of b-quarks to hadrons produced at LEP is about 2 sigma higher than the Standard Model prediction. The supersymmetric corrections to the Z to | bb decay width are calculated, and it is shown that supersymmetry derived from minimal supergravity boundary conditions cannot account for this anomaly. However, a general low-scale supersymmetric Lagrangian could account for this anomaly if the chargino or stop mass is below the W mass. Finally, the lightest supersymmetric partner (the LSP) is studied. Current theoretical understanding of Planck/GUT scale physics strongly suggests that the LSP is absolutely stable. This has cosmological consequences which are studied. Specifically, the calculated relic density of the particles demonstrates that the LSP might constitute a substantial fraction of the cold dark matter of the universe. If so, then LSPs should interact with table top experiments, capture and annihilate in the sun, and annihilate in the galactic halo making positrons, protons, and photons. All of these observables are studied. It is also argued that colliders might be the best dark matter detectors of them all.
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