| Using the unified electroweak standard model (WS), we amply analyzed and finally solved the framework of "mixing-loop" chain propagators, which were composed by different physical processes of γ, Z0,W+and H; the acquired the corresponding analytical expressions of "mixing-loop" chain propagators. For the various divergent loop functions in the mixing-loop chain propagators, we adopted the on-shell scheme to fix the counter terms and acquired the analytical expressions of the renormalized chain propagators. And we used "complex function" integral to obtain the strict analytical results of the "mixing-loop" chain propagators Dγ,Z(m-chain(k) and DW(chain)(K). The numerical results showed that the corrections of Dγ,Z(m-chain)(k) and DW(chain)(k) to its tree propagators were accord with the magnitudes of electroweak corrections.Further, we applied the renormalized chain propagators Dγ,Z(m-chain)(k) and DW(chain)(k) to e+e-â†'μ+μ-,Ï„+Ï„-,W+W-and μ-â†'Vμ+Ve+e-, respectively. For the reaction e+e-â†'μ+μ-,Ï„+Ï„-, we calculated the cross sections of σchain,σloop and σ0, and compared with the with experimental results. We find the results of σchain were in good agreement with the experimental observations. In addition, we also combined with BES-III and ILC to do related discussions. For e+e-â†'W-W-, we calculated the cross sections of σchain, σloop and σ0, and combined with BES-III and ILC to do related discussions too. For μ-â†'Vμ+Ve+e-, the numerical results showed that correction of small if we only consider the mixing-loop chain propagator correction.The research about the mixing-loop chain propagators’corrections in this paper, from one side, could provide some academic reference to verify the precision of WS. Moreover, our theoretically calculation work was different from the usual finite order loop calculations research, thus work and its methods can provide some reference for different theoretical calculations. |
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