Analytically Calculate The Differential Cross Section Of E~+e~-â†'l~+l~- By Mixed Loop-chain Propagator In The Lepton Minimal Electromagnetic Coupling Mode

The Lepton minimal electromagnetic coupling model is the pure lepton case of the electroweak unification standard model. The electroweak unification Standard Model (W-S), which describing the unification of electromagnetic and weak interaction, is one of the most influential phenomenology theories in the 20th century. It had gained great success on describsing electroweak interactions. Besides, the new physics which had been predicted by W-S has been verified by a serious of subsequent experiments. Since W-S was invented in 1960-1970s, there has been lots of theoretical researchs on it. On these researchs, the theoretical calculations on testing W-S exectactly have been gaining special affection. However, in all of these theoretical calculations, these adopting perturbation theoriy of quantum field serve as one of the important research works. Since this method is carried out in orders, it's easier to do with it in the case of low-order (such as tree diagram); however, when it comes to high-ordered calculations, there will occur boringly divergent problems in these cases, it is needy to use the renormalization techniques to separate out the useless nonphysical-divergent-quantities and reserve the renormalized physical finite quantities in renormalization theory. It is so difficult to do the"exact"calculations that lots of research works that have been done are limited to either perturbation calculation in low-order or approximate perturbation in high-order---but the results got in this way can't exactly describe physical effects of the problem that have been researched.In this paper, by adopting the lepton minimal electromagnetic coupling model, we made physical analysis and accurate calculation of the photon chain diagram propagator, and obtained the theoretical results of the renormalization chain diagram propagator. Furthermore, in applying it to the physical process analysis and cross-section evaluation in the reaction e + e?→l+l?, its differential cross-section is obtained. Through the comparison between this calculation and those scenarios, namely the tree diagram and renormalization chain diagram propagator contribution, some important information about radiative correction was obtained.