Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-04-30
Mod.Phys.Lett. A15 (2000) 1089-1098
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages LaTex
Scientific paper
10.1142/S021773230000133X
In this article we discuss the problem of the extreme fine-tuning necessary to achieve the top quark mass scale $m_t$ within the dynamical symmetry breaking of the phenomenological $t \bar t$ condensate model. Inspired by the vector-like phenomenon of chiral gauge theories at short distances, we postulate that the $W^\pm$-gauge bosons possess a vector-like gauge coupling and contribute to the gap-equations of quark self-energy functions in the high-energy region. We find that the gap-equations of different charge sectors are coupled, and as a result the unnatural fine-tuning is overcome and the ratio of the top and bottom masses is related to the electric charge: $({m_b\over m_t})^2\simeq {\alpha\over3\pi}$, provided the quadratic divergence is removed by setting the four-fermion coupling $G=4+o({m_b^2\over m_t^2})$.
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