本文選題：中微子 + 味物理　； 參考：《中國科學(xué)技術(shù)大學(xué)》2017年博士論文

【摘要】：本論文系統(tǒng)的分析了中微子是馬約拉納粒子時遺留CP對稱性與輕子味混合之間的一般關(guān)系,給出了一套普適的處理方法。我們將其應(yīng)用到具體的例子當(dāng)中并對中微子振蕩、無中微子雙貝塔衰變和正反物質(zhì)不對稱等唯象學(xué)現(xiàn)象進行了討論。首先我們在帶電輕子對角基下討論了中微子的遺留CP對稱性,CP對稱變換可以由輕子混合得到,反之輕子混合可以由遺留CP重建。對于中微子是馬約拉納粒子的情況,存在四個使得體系保持不變的CP變換,這四個CP可以由輕子混合矩陣構(gòu)造。我們給出了CP矩陣最一般的參數(shù)化方法,并給出了混合矩陣的表達式。如果體系保留其中一個CP,可以推出輕子混合矩陣依賴于三個實的自由參數(shù);如果體系保留兩個CP,可以推出輕子混合矩陣依賴于一個實的自由參數(shù):如果四個CP全部保留,輕子混合矩陣可以由CP對稱性完全固定。對于每種情況,文中都給出了唯像學(xué)預(yù)言并對狄拉克C P相位守恒或最大破壞的條件進行了討論。基于對遺留CP與輕子味混合之間一般的討論,文中研究了保留一個CP的情況。我們首先考慮了 CP矩陣中含有零元素的情況并對其進行了系統(tǒng)的分類,其中的一種情況相當(dāng)于對μ-τ CP對稱性的一個推廣,我們稱這種情況為廣義μ-τCP對稱。對于CP矩陣中沒有零元素的情況,我們考慮了 CP矩陣中每個元素的模都為1/(?)的這樣一個例子并將之稱為民主CP對稱。對于每種情況,我們都給出了實驗上可以檢驗的混合參數(shù)之間的關(guān)聯(lián),并給出了中微子振蕩和無中微子雙貝塔衰變等唯象學(xué)預(yù)言。最后,我們對正反物質(zhì)不對稱與CP對稱性的關(guān)系給出了最一般的討論。對于保留四個CP的情況,正反物質(zhì)不對稱無法產(chǎn)生,我們分別系統(tǒng)的研究了保留一個CP和保留兩個CP的情況,對于每一種情況的遺留CP的形式作了完整的分類并且發(fā)現(xiàn)R矩陣受到CP對稱性的強烈限制,結(jié)果正反物質(zhì)不對稱與輕子混合參數(shù)PMNS參數(shù)具有緊密的聯(lián)系。
[Abstract]:In this paper, we systematically analyze the general relationship between CP symmetry and light taste mixing when neutrinos are Majoorana particles, and give a set of general treatment methods. We apply it to concrete examples and discuss phenomenological phenomena such as neutrino oscillation, non-neutrino double beta decay and positive antimatter asymmetry. First, we discuss that the CP symmetry transformation of neutrinos can be obtained by mixing leptons under the charged lepton diagonal basis, whereas the lepton mixing can be reconstructed by residual CP. For the case where the neutrino is a Majoorana particle, there are four CP transformations which make the system invariable, and the four CPs can be constructed from the lepton mixed matrix. We give the most general parameterization method of CP matrix and the expression of mixed matrix. If the system retains one of the CPs, it can be deduced that the lepton mixing matrix depends on three real free parameters; if the system retains two CPs, it can be deduced that the lepton mixing matrix depends on one real free parameter: if all the four CPs are retained, The lepton mixing matrix can be completely fixed by CP symmetry. For each case, phenomenological predictions are given and the conditions for Dirac C P phase conservation or maximum damage are discussed. Based on the general discussion of the mixture of residual CP and lepton flavor, the retention of a CP is studied. We first consider the case of zero elements in CP matrix and classify them systematically. One of the cases is equivalent to a generalization of 渭-蟿 CP symmetry, which we call the generalized 渭 蟿 CP symmetry. For the case where there are no zero elements in the CP matrix, we consider that the module of each element in the CP matrix is 1 / 1 / 0) An example of this is called democratic CP symmetry. For each case, we give the correlation between the mixed parameters that can be tested experimentally, and the phenomenological predictions such as neutrino oscillation and neutrino free double beta decay. Finally, we give a general discussion on the relationship between positive antimatter asymmetry and CP symmetry. For the case of preserving four CP, the asymmetry of positive antimatter can not be produced, so we have systematically studied the case of preserving one CP and preserving two CP respectively. The form of residual CP in each case is classified completely and it is found that the R matrix is strongly restricted by CP symmetry. The results show that the positive antimatter asymmetry is closely related to the PMNS parameter of lepton mixing parameter.
【學(xué)位授予單位】：中國科學(xué)技術(shù)大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2017
【分類號】：O572.321

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本文編號：1975933