Reconsidering Composite Higgs Loop Effects in the Top Mode Standard Model

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 (Λ ≃ 10 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 (mt ≃ 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−1 H . Our results can be summarized as mt (Ours) ≃ 1/ √ 2mt (MTY), in contrast to mt (BHL) ≃ √