高能對(duì)撞機(jī)上三規(guī)范玻色子產(chǎn)生的精確研究
本文選題:標(biāo)準(zhǔn)模型 + 大額外維模型 ; 參考:《中國(guó)科學(xué)技術(shù)大學(xué)》2016年博士論文
【摘要】:標(biāo)準(zhǔn)模型是迄今為止人類所構(gòu)造的最成功的粒子物理理論,隨著Higgs粒子的發(fā)現(xiàn),接下來(lái)高能對(duì)撞機(jī)的主要任務(wù)為標(biāo)準(zhǔn)模型的精確檢驗(yàn)以及新物理信號(hào)的尋找。電弱四規(guī)范耦合(QGCs)的測(cè)量對(duì)于標(biāo)準(zhǔn)模型規(guī)范結(jié)構(gòu)的檢驗(yàn)以及電弱對(duì)稱性自發(fā)破缺機(jī)制的研究具有非常重要的意義,而三規(guī)范玻色子(TGB)產(chǎn)生過(guò)程與QGCs直接相關(guān),因此本篇論文的研究重點(diǎn)為高能對(duì)撞機(jī)上TGB產(chǎn)生過(guò)程的精確研究。大型強(qiáng)子對(duì)撞機(jī)(LHC)上ZZW產(chǎn)生過(guò)程與四規(guī)范耦合W+W-ZZ直接相關(guān),實(shí)驗(yàn)數(shù)據(jù)與標(biāo)準(zhǔn)模型預(yù)言的任何偏差都將意味著新物理的存在。而大額外維模型因?yàn)轭A(yù)言了TeV能標(biāo)下的量子引力效應(yīng),所以在標(biāo)準(zhǔn)模型的諸多拓展中格外引入注目,因此我們研究了LHC上ZZW產(chǎn)生過(guò)程中可能的大額外維效應(yīng),并給出了精確到次領(lǐng)頭階QCD的結(jié)果。我們的結(jié)果表明該過(guò)程的NLO QCD修正非常明顯,并且會(huì)顯著壓低領(lǐng)頭階的大額外維效應(yīng),因此我們認(rèn)為領(lǐng)頭階結(jié)果高估了大額外維效應(yīng),為了給出可信的理論預(yù)言,NLO QCD修正是必須要考慮的。我們還發(fā)現(xiàn)NLO QCD修正和大額外維效應(yīng)對(duì)末態(tài)粒子的相空間有很強(qiáng)的依賴,大額外維效應(yīng)集中在高橫動(dòng)量(ZZ不變質(zhì)量)和中心快度區(qū)域,因此采用合適的事例選擇方案,大額外維效應(yīng)可以被顯著提高。與強(qiáng)子對(duì)撞機(jī)相比,正負(fù)電子對(duì)撞機(jī)背景非常干凈,實(shí)驗(yàn)測(cè)量可以達(dá)到很高的精度,因此對(duì)相關(guān)可觀測(cè)量給出盡可能精確的理論預(yù)言是十分必要的。e+e→W+W-γ過(guò)程對(duì)于四規(guī)范耦合頂點(diǎn)W+W-γγ和W+W-Zγ非常重要,我們計(jì)算了國(guó)際直線對(duì)撞機(jī)(ILC)上W+W-7產(chǎn)生截面的次領(lǐng)頭階電弱修正以及初態(tài)光子輻射(ISR)的重求和效應(yīng)。通過(guò)分析ILC上W+W-γ產(chǎn)生截面隨對(duì)撞機(jī)能量的變化,我們發(fā)現(xiàn)電弱修正明顯壓低了領(lǐng)頭階截面,并且高階的ISR效應(yīng)只在(?)處于閾值附近時(shí)比較明顯,在對(duì)撞能量較高的區(qū)域幾乎可以忽略不計(jì)。我們還給出了(?)=500 GeV時(shí),產(chǎn)生截面對(duì)pTW-(r),yW-(r)和W玻色子對(duì)不變質(zhì)量MWW的分布,發(fā)現(xiàn)電弱修正對(duì)末態(tài)粒子相空間有很強(qiáng)的依賴。最后我們采用傳統(tǒng)的窄寬度近似法分析了W玻色子對(duì)的輕子衰變,結(jié)果表明末態(tài)光子和輕子在空間上可以很好地分開(kāi)。本論文的成果總結(jié)如下:·本文首次在大額外維模型中研究了pp→ZZW±+X過(guò)程的NLO QCD修正,該過(guò)程的NLO QCD修正非常顯著并且會(huì)大大壓低領(lǐng)頭階大額外維效應(yīng)。我們還發(fā)現(xiàn)ZZW產(chǎn)生過(guò)程的大額外維效應(yīng)主要集中在末態(tài)粒子的高橫動(dòng)量和中心快度區(qū)域,選取合適的事例選擇方案,大額外維效應(yīng)可以被顯著提高,這些結(jié)論為實(shí)驗(yàn)上尋找大額外維信號(hào)提供了一定的理論指導(dǎo)!の覀兘o出了ILC上e+e-→W+W-γ過(guò)程目前最精確的理論預(yù)言,計(jì)算了完整的NLO EW修正以及初態(tài)光子輻射(ISR)的重求和效應(yīng)。結(jié)果表明該過(guò)程的EW修正對(duì)領(lǐng)頭階截面有明顯的壓低,而高階ISR效應(yīng)只在(?)處于閩值附近時(shí)非常顯著,對(duì)撞能量較高時(shí)可以忽略不計(jì)。我們還研究了末態(tài)粒子的微分分布以及W玻色子的衰變,為實(shí)驗(yàn)上通過(guò)該過(guò)程測(cè)量四規(guī)范耦合提供了指導(dǎo)!とD計(jì)算中,我們遇到了小Gram矩陣行列式以及標(biāo)量積分函數(shù)所導(dǎo)致的數(shù)值結(jié)果不穩(wěn)定問(wèn)題,為此我們進(jìn)一步發(fā)展了計(jì)算圈圖的程序LoopTools。其中小Gram矩陣行列式問(wèn)題可以采用雙精度和四精度混合計(jì)算的方案,在解決數(shù)值不穩(wěn)定性的同時(shí),保證計(jì)算效率,標(biāo)量積分函數(shù)問(wèn)題則需要對(duì)LoopTools的標(biāo)量積分庫(kù)做適當(dāng)?shù)男薷。該?wèn)題的解決為實(shí)驗(yàn)室三體末態(tài)的精確計(jì)算奠定了基礎(chǔ)!(shí)輻射計(jì)算中,相空間分割法不同部分之間的大數(shù)相消非常嚴(yán)重,為此我們采用誤差收斂更快的雙極點(diǎn)剪除方法來(lái)處理實(shí)輻射部分的紅外發(fā)散,并且引入了參數(shù)α來(lái)控制剪除項(xiàng)的相空間大小,從而降低“missed-binning”問(wèn)題發(fā)生的概率。
[Abstract]:The standard model is the most successful particle physics theory constructed so far. With the discovery of Higgs particles, the main tasks of the high energy collider are the accurate test of the standard model and the search for the new physical signals. The measurement of the electrical weak four gauge coupling (QGCs) for the standard model standard structure and the electrical weak symmetry The study of spontaneous breaking mechanism is of great significance, and the process of the three specification boson (TGB) generation is directly related to the QGCs. Therefore, the research of this paper is the precise study of the TGB production process on the high energy collider. The ZZW production process on the Large Hadron Collider (LHC) is directly related to the four specification coupling W+W-ZZ, the experimental data and the standard. Any deviation from the prediction of the quasi model will mean the existence of the new physics. The large external dimension model, which predicts the quantum gravitational effect of the TeV, makes a great deal of attention in the expansion of the standard model. Therefore, we have studied the possible large additional dimension effect in the process of ZZW production on LHC, and given the precision to the second leading order Q. CD results. Our results show that the NLO QCD correction of the process is very obvious and will significantly lower the large outer dimension effect of the leading order. Therefore, we think the leading order results overestimate the large external dimension effect. In order to give a credible theoretical prediction, the NLO QCD correction must be considered. We also found the NLO QCD correction and the large external dimension effect. There is a strong dependence on the phase space of the last state particles. The large external dimension effect is concentrated in the high transverse momentum (ZZ constant mass) and the center speed area. Therefore, the large external dimension effect can be greatly improved by using the appropriate case selection scheme. Compared with the Hadron Collider, the positive and negative electron collider has a very clean background and the experimental measurement can reach very high. High precision, therefore, it is very necessary for the.E+e to W+W- gamma process to predict the relevant observable measurements as accurately as possible. It is very important for the four standard coupling vertices W+W- gamma gamma and W+W-Z gamma. We calculated the second leading order electrical weak correction of the W+W-7 production cross section on the International Linear Collider (ILC) and the re seeking of the initial state photon radiation (ISR). And effect. By analyzing the changes in the energy of the W+W- gamma production section on the ILC, we find that the electrical weak correction significantly lowers the leading section, and the higher order ISR effect is obvious only when the threshold is near the threshold, and it is almost negligible in the region with high collision energy. We also give the (?) =500 GeV to produce a cross section. The distribution of pTW- (R), yW- (R) and W bosons for the invariant mass MWW is found to have strong dependence on the phase space of the final state particles. Finally, we use the traditional narrow width approximation method to analyze the lepton decay of the W boson pair. The results show that the final state of the photon and the lepton can be well separated in the space. The results of this paper are summarized as follows: In this paper, the NLO QCD correction of the PP to ZZW + +X process is studied for the first time in the large external dimension model. The NLO QCD correction of this process is very significant and will greatly reduce the large external dimension effect of the head order. We also find that the large outer dimensional effect of the ZZW production process is mainly concentrated in the high transverse momentum and central speed region of the final state particles, and the appropriate selection is selected. The case selection scheme, the large external dimension effect can be significantly improved, these conclusions provide some theoretical guidance for the large external dimension signal in the experiment. We give the most accurate theoretical predictions of the e+e- to W+W- gamma process on ILC, and calculate the complete NLO EW correction and the initial state photon radiation (ISR) re search and effect. It is clear that the EW correction of the process has an obvious low pressure on the leading section, while the high order ISR effect is very significant only when (?) near the min value. When the collision energy is high, the differential distribution of the final state particles and the decay of the W boson are also studied, which provides guidance for the measurement of the four gauge coupling in the experiment. In the calculation of loop graphs, we have encountered the problem of the numerical results instability caused by the determinant of small Gram matrix and the scalar integral function. Therefore, we further develop the program LoopTools. of the calculation circle graph, in which the problem of small Gram matrix determinant can be mixed with double precision and four precision, in solving the numerical instability. At the same time, the scalar integral function of scalar integral function should be modified properly to ensure the efficiency of the scalar integral function. The solution of the problem will lay the foundation for the accurate calculation of the final state of the laboratory. In the actual radiation calculation, the large number cancellation between the different parts of the phase space segmentation method is very serious, so we adopt the error convergence more. The fast double pole cutting method is used to deal with the infrared divergence of the real radiation part, and the parameter alpha is introduced to control the phase space of the cut item, thus reducing the probability of the "missed-binning" problem.
【學(xué)位授予單位】:中國(guó)科學(xué)技術(shù)大學(xué)
【學(xué)位級(jí)別】:博士
【學(xué)位授予年份】:2016
【分類號(hào)】:O572.214
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