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arXiv 2007.00565hep-ph
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精确的SMEFT配方并扩展为$\mathcal{O}(v^4/Λ^4)$

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

Chris Hays, Andreas Helset, Adam Martin, Michael Trott

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42 pages, 9 figures
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摘要：

标准模型有效场论（SMEFT）理论框架越来越多地用于解释粒子物理测量和约束物理超越标准模型。我们调查截断的有效运营商的扩展使用的几何配方的SMEFT，它允许精确的解决方案，质量维8。使用这种结构，我们比较精确的解决方案，在${\mathcal{O}}(v^2/Λ^2)$的扩展，部分${\mathcal{O}}(v^4/Λ^4)$使用一个子集的条款与维6运营商，和完整的${\mathcal{O}}(v^4/Λ^4)$，其中$v$是真空期望值和$Λ$是新物理的规模。这种比较是针对一般的系数值和一个重U（1）规范场与标准模型动力学混合的特定模型进行的。我们还确定了输入参数方案依赖在所有订单$v/Λ$，并表明，这种依赖性增加在更高的订单$v/Λ$。

英文摘要：

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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