高能物理 - 现象学
[提交于 1995年10月19日
]
标题: TO_BE_TRANSLATED: A Cutoff Constrained by the Oblique Parameters in Electroweak Theory with Two Massless Higgs Doublets
标题: A Cutoff Constrained by the Oblique Parameters in Electroweak Theory with Two Massless Higgs Doublets
摘要: TO_BE_TRANSLATED: Electroweak theory with two massless Higgs doublets is studied by solving renormalization group equations for coupling constants in one-loop approximation. A cutoff~$\Lambda$, at which one of quartic couplings in the Higgs potential blows up, is obtained by imposing constraints from the oblique parameter $T$ on the quartic couplings at low energy. We find $\Lambda \simeq 0.52\sim 8.4$~TeV at the Higgs mass $M_H=100$ GeV. The cutoff $\Lambda$ is at most about $60$ TeV even if we take into account the LEP lower bound of $M_H\simeq 64$ GeV. It cannot reach the Planck or GUT scale due to severe experimental constraints. It is impossible in the model to realize a large gauge hierarchy as suggested many years ago by S. Weinberg.
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