Correlations and static energies in the standard Higgs model |
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Institution: | 1. CER-ETH Center of Economic Research, at ETH Zurich and CEPR, Zurich 8032, Switzerland;2. Department of Economics, University of Vienna, Vienna 1010, Austria;3. CER-ETH Center of Economic Research, at ETH Zurich, Zurich 8032, Switzerland |
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Abstract: | Correlations in the W-boson and Higgs boson channels and the static energy of an external SU(2) doublet charge pair are investigated by Monte Carlo calculations in the SU(2) lattice gauge theory with a scalar Higgs doublet field. The mass ratio mW/mH and the shape of the static potential are used to obtain information on the renormalization group trajectories in the three-dimensional coupling constant space. As a function of an appropriately chosen varibale, the measured quantities are, within errors, independent from the scalar self-coupling (λ) in a wide range 0.1 ⩽ λ ⩽ ∝. In the Higgs phase, a lower bound mW/mH ⩾ (1.0 ± 0.3) is obtained for the ratio of the Higgs boson mass to the W-boson mass. |
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