论文标题
sphaleron在一阶电子相过渡中与尺寸六的higgs操作员
Sphaleron in the first-order electroweak phase transition with the dimension-six Higgs operator
论文作者
论文摘要
通过在标准模型中添加HIGGS电位的尺寸六算子(表示为$ \ Mathcal {o} _6 $),我们有一个高于统一的一阶电子eak阶段过渡(EWPT)。发现尺寸六的希格斯操作员的截止参数($λ$)在范围内在593-860 GEV范围内,Wilson参数等于Unity;还表明,$λ$越大,相转换强度越高,威尔逊参数越大,$λ$的域越大。在零温度下,Sphaleron能量是通过平滑的ANSATZ和具有无标度参数的ANSATZ计算的,因此我们发现平滑轮廓并不比具有无标度参数的配置文件更准确。然后,使用$ \ MATHCAL {O} _6 $而不是所有可能的二维操作员,使用一环有效的HIGGS电位,我们直接在有限的温度下使用无标度参数ANSATZ计算Electroweak Sphaleron Energy,并显示在相结合过程中满足脱离状态。此外,我们可以重新评估从一阶相变推断的截止量表的上限。另外,借助截止参数的上限(约800-860 GEV),EWPT是对尺寸六算子的能量尺度的解决方案。有一个延长的结论是,EWPT只能以大能量量表的范围求解。
By adding the dimension-six operator for the Higgs potential (denoted $\mathcal{O}_6$) in Standard Model, we have a first-order electroweak phase transition (EWPT) whose strength is larger than unity. The cutoff parameter of the dimension-six Higgs operator ($Λ$) is found to be in the range 593-860 GeV with the Wilson parameter equals to unity; it is also shown that the greater the $Λ$, the lower the phase transition strength and the larger the Wilson parameter, the wider the domain of $Λ$. At zero temperature, the sphaleron energy is calculated with a smooth ansatz and an ansatz with scale-free parameters, thereby we find that smooth profiles are not more accurate than profiles with scale-free parameters. Then, using the one-loop effective Higgs potential with the inclusion of $\mathcal{O}_6$ instead of all possible dimension-six operators, we directly calculate the electroweak sphaleron energy at finite temperature with the scale-free parameters ansatz and show that the decoupling condition is satisfied during the phase transition. Moreover, we can reevaluate the upper bound of the cutoff scale inferred from the first-order phase transition. In addition, with the upper bound of the cutoff parameter (about 800-860 GeV), EWPT is a solution to the energy scale of the dimension-six operators. There is an extended conclusion that EWPT can only be solved at a large energy scale than that of SM.