Tadpole cancellation in top-quark condensation

TL;DR

This paper demonstrates that tadpole cancellation removes quadratic divergences in top-quark condensation models, leading to refined predictions for the Higgs boson mass and related particle masses.

Contribution

It introduces a natural tadpole cancellation mechanism that unifies the treatment of divergences and predicts particle masses based on fundamental parameters.

Findings

Higgs mass prediction reduced from 167 GeV to 132 GeV after bosonic corrections.

Tadpole cancellation condition independently constrains the Higgs mass around 117 GeV.

All three masses (W, top, Higgs) can be derived as functions of cutoff scale and gauge couplings.

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.