Tadpole cancellation in top-quark condensation
Abstract
We show that quadratic divergences in top-quark condensation are cancelled when the tadpoles cancel. This latter cancellation is naturally implemented as the cancellation among the top-quark, Goldstone and Higgs contributions. We also calculate the bosonic correction terms to Gribov's mass formula for the Higgs boson. These reduce the prediction for M_H from 167 GeV to 132 GeV. The tadpole cancellation condition by itself is an independent condition on the mass of the Higgs boson which, in Gribov's U(1)_Y scenario, yields M_H \approx 117 GeV with large theoretical uncertainty. More generally, 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.
Keywords
Cite
@article{arxiv.1201.3968,
title = {Tadpole cancellation in top-quark condensation},
author = {Diganta Das and Kosuke Odagiri},
journal= {arXiv preprint arXiv:1201.3968},
year = {2015}
}
Comments
7 pages, 20 eps figures. Added error estimates and a new plot (v3). To be published in Phys. Rev. D