Dynamics of Scalar Fields and Baryogenesis on their Backgrounds

电弱重子发生是基于在电弱相变时期重子不对称性的观点。关于电弱相互作用，建立了标准模型，并有大量的加速器实验数据。用标准模型（或其超对称模型）解释宇宙的重子不对称性是一个很有吸引力的问题，许多文献都是这样写的：决定电弱相变的是标量场（Higgs场）的动力学。指出在最小超对称标准模型（MSSM）中，电弱相变最好是一级相变。在Sakharov提出的三个条件中，非平衡态由泡壁的增长满足，重子数破坏由裂子跃迁引起。对于大的CP破坏，我们提出了过渡CP破坏，其中微小的显式CP破坏通过自发CP破坏扩大。该提案很好地再现了观察结果，并对其他小组产生了影响。但是，该模型对Higgs质量有限制，实验数据有超出限制的趋势，为了克服这一困难，需要考虑MSSM的扩展，即Next-to-MSSM。这里，我们引入SU（2）单态的标量场。标量场与Higgs场耦合，放松了Higgs场的质量限制。另一方面，NMSSM的有限温度有效势显示了不同于第一和第二相变的多步相变。在MSSM中，光阻环对一阶相变有贡献。在NMSSM中，重停环对一级相变有贡献，SU（2）单重标量的贡献使SU（2）规范和Higgs系统的sphaleron解发生形变。最后，我们将计算NMSSM中重子非对称性的产生几率。

Electroweak baryogenesis is based on the idea that baryon asymmetry arises at the electroweak phase transition era. On the electroweak interaction, the standard model is established and there are many experimental data of accelerators. It is charming to interpret the baryon asymmetry of universe by the standard model(or its supersymmetric version) and many papers are written.It is dynamics of scalar fields(Higgs fields) to determine the electroweak phase transition. It is pointed out that the electroweak phase transition is preferred to be the first order in the minimal supersymmetric standard model(MSSM). Among 3 conditions of Sakharov, nonequilibrium is satisfied by the growth of bubble walls and baryon number violation is due to sphaleron transition. On large CP violation, we propose the transitional CP violation where tiny explicit CP violation enlarges through the spontaneous CP violation. This proposal reproduced the observations well and gave an impact to other groups. However, this model restricts the Higgs mass and experimental data have the tendency to exceed the restrictions.To overcome this difficulty, we need to consider the extension of MSSM, that is, Next-to-MSSM. Here, we introduce the scalar field of SU (2) singlet. The scalar field couples to Higgs fields and relax mass restrictions of Higgs fields. We can find the parameter spaces that are consistent with experiments.On the other hand, the finite temperature effective potential of NMSSM shows the multi-step phase transition other than the first and second transition. In MSSM, light-stop loop contributes the first order phase transition. In NMSSM, heavy-stop loop can contribute the first order phase transition.The contribution of SU (2) singlet scalar can deform the sphaleron solution of SU (2) gauge and Higgs system. We are now analyzing the solutions.Finally, we will calculate the generation probability of baryon asymmetry in the NMSSM.