论文标题
层次结构问题和尺寸六个有效的操作员
Hierarchy problem and dimension-six effective operators
论文作者
论文摘要
没有任何保护其质量的机制，希格斯玻色子的自我能源与次数相差，导致层次结构或微调问题。一种自下而上的解决方案是假设一些尚未发现的对称性，迫使二次差异的总和为零或几乎可以忽略不计；这就是Veltman条件。即使人们在高尺度上假设存在一些新物理学，但微调问题也没有消除，尽管它比普朗克尺度量表截止的较软。我们在有效的理论框架中研究此类差异，并使用尺寸六算子构建Veltman条件。我们表明，有两类的图表，即单循环和两循环的图表，这有助于二次差异，但是后者的贡献被$ 1/16π^2 $的循环系数抑制。只有六个维度六维操作员有助于单环类别，这些操作员的威尔逊系数在软化微调问题方面起着重要作用。我们找到了满足扩展Veltman条件的Wilson系数的参数空间，还讨论了为什么不必为$ d> 6 $运算符而打扰。参数空间与威尔逊系数的理论和实验界限一致，并应作为模型构建者的指南。
Without any mechanism to protect its mass, the self-energy of the Higgs boson diverges quadratically, leading to the hierarchy or fine-tuning problem. One bottom-up solution is to postulate some yet-to-be-discovered symmetry which forces the sum of the quadratic divergences to be zero, or almost negligible; this is known as the Veltman condition. Even if one assumes the existence of some new physics at a high scale, the fine-tuning problem is not eradicated, although it is softer than what it would have been with a Planck scale momentum cut-off. We study such divergences in an effective theory framework, and construct the Veltman condition with dimension-six operators. We show that there are two classes of diagrams, the one-loop and the two-loop ones, that contribute to quadratic divergences, but the contribution of the latter is suppressed by a loop factor of $1/16π^2$. There are only six dimension-six operators that contribute to the one-loop category, and the Wilson coefficients of these operators play an important role towards softening the fine-tuning problem. We find the parameter space for the Wilson coefficients that satisfies the extended Veltman condition, and also discuss why one need not bother about the $d>6$ operators. The parameter space is consistent with the theoretical and experimental bounds of the Wilson coefficients, and should act as a guide to the model builders.
