Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-01-19
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, 2 eps figures. Uses axodraw. Modified discussions and corrected typos (v2)
Scientific paper
We show that Gribov's cancellation condition in top-quark condensation can be rephrased as the physical condition of tadpole cancellation. This is naturally implemented as the cancellation between the top-quark, Goldstone and Higgs contributions, and thus an extra condition on the mass of the Higgs boson is obtained. The Goldstone and Higgs couplings are fixed by the relevant Ward-Takahashi identities. In Gribov's U(1)_Y scenario, the new condition yields M_H\approx117 GeV, with large theoretical uncertainty. We also calculated the bosonic correction terms to Gribov's mass formula, which reduces the prediction for M_H from 167 GeV to 132 GeV. There being three conditions and three unknowns, we are able to obtain all three masses, M_W, m_t and M_H, in 100 MeV to 10 TeV energy range, as a function of the cut-off scale and the gauge couplings only.
Das Diganta
Odagiri Kosuke
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