论文标题

确切的SMEFT配方和扩展到$ \ Mathcal {O}(V^4/λ^4)$

Exact SMEFT formulation and expansion to $\mathcal{O}(v^4/Λ^4)$

论文作者

Hays, Chris, Helset, Andreas, Martin, Adam, Trott, Michael

论文摘要

标准模型有效场理论(SMEFT)理论框架越来越多地用于解释粒子物理测量,并限制了标准模型以外的物理。我们使用SMEFT的几何公式​​研究了有效操纵器扩展的截断,该公式允许溶液允许精确的溶液,最多可质量差异8。使用此结构,我们将精确解决方案与$ {\ Mathcal {o}}(v^2/λ^2)$,部分$ {\ Mathcal {o}}(v^4/λ^4)$使用dimension-6运算符的子集,以及完整$ {$ nation $ {$ n 4//////per,将精确解决方案比较。真空期望值和$λ$是新物理的规模。对系数的一般值进行了比较,并对重量(1)量规场的特定模型与标准模型进行了混合。我们还确定了$ v/λ$中所有订单的输入参数方案依赖性,并表明这种依赖性在$ v/λ$中以较高的订单增加。

The Standard Model Effective Field Theory (SMEFT) theoretical framework is increasingly used to interpret particle physics measurements and constrain physics beyond the Standard Model. We investigate the truncation of the effective-operator expansion using the geometric formulation of the SMEFT, which allows exact solutions, up to mass-dimension eight. Using this construction, we compare the exact solution to the expansion at ${\mathcal{O}}(v^2/Λ^2)$, partial ${\mathcal{O}}(v^4/Λ^4)$ using a subset of terms with dimension-6 operators, and full ${\mathcal{O}}(v^4/Λ^4)$, where $v$ is the vacuum expectation value and $Λ$ is the scale of new physics. This comparison is performed for general values of the coefficients, and for the specific model of a heavy U(1) gauge field kinetically mixed with the Standard Model. We additionally determine the input-parameter scheme dependence at all orders in $v/Λ$, and show that this dependence increases at higher orders in $v/Λ$.

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