An Improved Standard Model Comes with Explicit CPV and Productive of BAU  

作　　者：Chilong Lin Chilong Lin(Department of Exhibition, National Museum of Natural Science, Taiwan)

机构地区：[1]Department of Exhibition, National Museum of Natural Science, Taiwan

出　　处：《Journal of Modern Physics》2020年第8期1157-1169,共13页现代物理（英文）

摘　　要：In this manuscript, we present an explicit way to describe the violation of CP symmetry in the standard model (SM) of electrweak interactions. In such a way, complex Cabbibo-Kobayashi-Maskawa (CKM) matrices are achieved which stand for the violation of CP symmetry. At the beginning, two necessary but not sufficient conditions for yielding a complex CKM matrix are stated as criteria. Then we found an interesting condition between the real and imaginary parts of a Hermitian 3 × 3 matrix which may provide extra relations among its parameters and reduce the number of them from eighteen down to five. In previous investigations, this can be done only down to nine. With another assumption among some of those parameters, the mass-matrix pattern is further simplified so as to be diagonalized analytically and in consequence four matrices which reveal S_N symmetries among or between quark generations are obtained. In some of such S_N-symmetric cases, the derived CKM matrices are complex which indicate that CP symmetry is violated accordingly. Taking the Jarlskog invariant as an estimate of the CPV strength, the value predicted by this model is orders stronger than the empirical value detected experimentally. However, that happens to fill partly the gap between the cosmologically observed amount of Baryon Asymmetry of the Universe (BAU) and that current Standard Model of particle physics predicts. It also proves the long suspected existence of BAU-productive eras in early universe if some fermions were indistinguishable, <em>i.e.</em>, S_N-symmetric, under circumstances with extremely high temperatures.In this manuscript, we present an explicit way to describe the violation of CP symmetry in the standard model (SM) of electrweak interactions. In such a way, complex Cabbibo-Kobayashi-Maskawa (CKM) matrices are achieved which stand for the violation of CP symmetry. At the beginning, two necessary but not sufficient conditions for yielding a complex CKM matrix are stated as criteria. Then we found an interesting condition between the real and imaginary parts of a Hermitian 3 × 3 matrix which may provide extra relations among its parameters and reduce the number of them from eighteen down to five. In previous investigations, this can be done only down to nine. With another assumption among some of those parameters, the mass-matrix pattern is further simplified so as to be diagonalized analytically and in consequence four matrices which reveal S_N symmetries among or between quark generations are obtained. In some of such S_N-symmetric cases, the derived CKM matrices are complex which indicate that CP symmetry is violated accordingly. Taking the Jarlskog invariant as an estimate of the CPV strength, the value predicted by this model is orders stronger than the empirical value detected experimentally. However, that happens to fill partly the gap between the cosmologically observed amount of Baryon Asymmetry of the Universe (BAU) and that current Standard Model of particle physics predicts. It also proves the long suspected existence of BAU-productive eras in early universe if some fermions were indistinguishable, <em>i.e.</em>, S_N-symmetric, under circumstances with extremely high temperatures.

关 键 词：CP Violation (CPV) Cabbibo-Kobayashi-Maskawa (CKM) Matrix Baryon Asymmetry of the Universe (BAU) SN Symmetry 

分 类 号：O17[理学—数学]