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Analytically Calculate The Cross Section Of E~+e~-â†'μ~+μ~- By Mixed Loop-Chain Propagator In Electroweak Unification Standard Model

Posted on:2008-08-18Degree:MasterType:Thesis
Country:ChinaCandidate:X W ChenFull Text:PDF
GTID:2120360215491077Subject:Theoretical Physics
Abstract/Summary:PDF Full Text Request
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 standard model electroweak unification standard model, we have done the relevant research on one kind of leptons'reaction: e+e-→μ+μ-, which has been paid close affection in high energy physics.for e+e-→μ+μ-, the particles they transmit interactions are photon and neutral boson propagator. In consideration the interaction between fermin fields and gauge fields, there will involve 4 Feynman diagrams in the chain diagrams, as result, 4 kinds of chain's propagator need to be dealt with. After precisely examing and analyzing these propagator, wen find that there are 39 divergent loop diagrams that need to be dealeith. In momentum renomalization program, by using several calculation tricks, such as large-momentum-integral-limit method, complex-function-integral method and etc., the divergy quantities in loop diagrams have been obtained, furthermore, the'exactly'analytical results or the propagator's function in renomalization chain diagrams been gained with this result, the reaction cross-section of reaction e+e-→μ+μ- has also been calculated, the'exactly'theoretical result being a chieved, and the comparison analysis of these results that in QED and relevant experiments have been done, we find that the results under electroweak unification theory agree with the experimental results very well. Meanwhile, other parallel analysis of the result in the paper with experimental data were done, many analytical conclusion has radiation recorrection have obtained.
Keywords/Search Tags:Renomalization finite quantum, Large momentum integral, Complex function integral, Chain(loop)propagator, Cross section, Radiation correction
PDF Full Text Request
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