A Cutoff Constrained by the Oblique Parameters in Electroweak Theory with Two Massless Higgs Doublets

Details A Cutoff Constrained by the Oblique Parameters in Electroweak Theory with Two Massless Higgs Doublets A Cutoff Constrained by the Oblique Parameters in Electroweak Theory with Two Massless Higgs Doublets

1995-10-19

arxiv.org/abs/hep-ph/9510348v1

Prog.Theor.Phys. 95 (1996) 609-620

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, Latex, 3 figures are available upon request

Scientific paper

10.1143/PTP.95.609

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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