Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-04-28
Prog.Theor.Phys. 100 (1998) 781-796
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages, PTPTeX, 5 EPS figures, 1 Table, to appear in Progress of Theoretical Physics
Scientific paper
10.1143/PTP.100.781
Composite Higgs loop effects in the top mode standard model are discussed by using the Miransky-Tanabashi-Yamawaki (MTY) approach based on the Schwinger-Dyson equation. The top mass is obtained as 179 GeV for the Planck scale cutoff (\Lambda \simeq 10^{19} GeV). This result is different from that of the Bardeen-Hill-Lindner (BHL) approach based on the renormalization group equation (RGE), with QCD plus Higgs loop effects included (m_t \simeq 205 GeV). Detailed comparison of the MTY approach with the BHL approach is made. We derive ``RGE'' from the Pagels-Stokar formula by considering the infrared mass as the ``renormalization point''. Then, it is found that the MTY approach including the composite Higgs loop effects is only partially equivalent to the BHL approach with QCD plus Higgs loop effects. The difference essentially results from the treatment of the composite Higgs propagator, or more precisely, of Z_H^{-1}. Our results can be summarized as m_t (Ours) \simeq 1/\sqrt{2} m_t (MTY), in contrast to m_t (BHL) \simeq \sqrt{2/3} m_t (MTY), where m_t (MTY) \simeq 250 GeV is the original MTY prediction without Higgs loop effects.
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