标题： Yukawa相互作用在标量场中的意义 显示英文标题

标题： Implications of Yukawa interactions in scalar sector

摘要： 在本工作中，使用格点模拟方法研究了一个包含实标量单态和一个保持SU(2)对称性的复数双重态的场论模型。该模型考虑了所有四次顶点以及实标量单态与一个保持SU(2)对称性的复数双重态场之间的Yukawa顶点。使用机器学习来提取场传播子、格点调节器和Yukawa顶点的代表性函数。在所考虑的重整化方案中，场传播子相比其相应的树图结构被增强。发现包含标量单态与SU(2)不变场算符的算符混合导致了$0^{+}$状态，在数百个$GeV$中表现出特殊的稀缺性。Yukawa顶点对场动量表现出较弱的依赖性，而通过重整化场传播子发现理论仍具有相互作用。实标量四次自相互作用的影响由于其他相互作用顶点而被缓解。场期望值表现出某种分类，尽管没有确定的相变信号。 显示英文摘要

摘要： In this work, a field theory model containing a real scalar singlet and an SU(2) symmetry preserving complex doublet is studied using the method of lattice simulations. The model considers all quartic vertices along with the Yukawa vertex between a real scalar singlet and an SU(2) symmetry preserving complex doublet field. Machine learning is used to extract representative functions of the field propagators, lattice regulator, and the Yukawa vertex. In the considered renormalization scheme the field propagators are found enhanced compared to their respective tree level structure. It is found that mixing of operators containing scalar singlet with SU(2) invariant field operators results in $0^{+}$ states with a peculiar scarcity in hundreds of $GeV$s. The Yukawa vertex shows weak dependence on the field momenta while the theory remain interactive as found by the renormalized field propagators. The impact of the real scalar quartic self interaction is found mitigated due to other interaction vertices. The field expectation values exhibit a certain classification despite no conclusive signal of phase transition.