Anatomy of $$\varepsilon '/\varepsilon $$ε′/ε beyond the standard model

Anatomy of $$\varepsilon '/\varepsilon $$ε′/ε beyond the standard model
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超出标准模型的 $$varepsilon /varepsilon $$ε′/ε 剖析

DOI:
10.1140/epjc/s10052-019-6715-6
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发表时间:
2018
期刊:
The European Physical Journal C
影响因子:
--
通讯作者:
D. Straub
D. Straub
中科院分区:
--
文献类型:
--
作者:
Jason Aebischer;C. Bobeth;A. Buras;D. Straub

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我们首次在算符在QCD和QED下不变的$$\Delta S = 1$$ΔS=1有效理论和算符在全SM规范群下不变的标准模型有效场论(SMEFT)的背景下,给出了与模型无关的比值$$\vareps '/\vareps $$ε′/ε的解剖。我们的目标是确定新的物理场景,探测这个比率,这可能有助于解释可能偏离SM的数据暗示。为此,我们推导出了一个主公式$\vareps '/\vareps $$ε′/ε,它可以应用于任何理论超越标准模型(BSM),其中所有贡献运营商的威尔逊系数已计算在电弱标度。BSM算符的相应强子矩阵元来自对偶QCD方法,SM算符来自格点QCD方法。在SMEFT中,来自$$K^0$K0和$$D^0$D0混合以及电偶极矩的约束显著地限制了潜在的新物理贡献。讨论了$$\vareps '/\vareps $$ε′/ε与$$K\rightarrow \pi \nu {\bar{\nu }}$$K→πνν <$衰变的相关性。基于我们的EFT分析和模型独立的约束,我们讨论了可能偏离SM的影响,在$$\varepsilon '/\varepsilon $$ε′/ε模型的建立,突出了新的标量和张量矩阵元素的标量介质模型中的作用。
We present for the first time a model-independent anatomy of the ratio $$\varepsilon '/\varepsilon $$ε′/ε in the context of the $$\Delta S = 1$$ΔS=1 effective theory with operators invariant under QCD and QED and in the context of the standard model effective field theory (SMEFT) with the operators invariant under the full SM gauge group. Our goal is to identify the new physics scenarios that are probed by this ratio and which could help to explain a possible deviation from the SM that is hinted by the data. To this end we derive a master formula for $$\varepsilon '/\varepsilon $$ε′/ε, which can be applied to any theory beyond the standard model (BSM) in which the Wilson coefficients of all contributing operators have been calculated at the electroweak scale. The relevant hadronic matrix elements of BSM operators are from the Dual QCD approach and the SM ones from lattice QCD. Within SMEFT, the constraints from $$K^0$$K0 and $$D^0$$D0 mixing as well as electric dipole moments limit significantly potential new physics contributions to $$\varepsilon '/\varepsilon $$ε′/ε. Correlations of $$\varepsilon '/\varepsilon $$ε′/ε with $$K\rightarrow \pi \nu {\bar{\nu }}$$K→πνν¯ decays are briefly discussed. Building on our EFT analysis and the model-independent constraints, we discuss implications of a possible deviation from the SM in $$\varepsilon '/\varepsilon $$ε′/ε for model building, highlighting the role of the new scalar and tensor matrix elements in models with scalar mediators.
DOI: 10.1140/epjc/s10052-014-2945-9
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期刊: The European physical journal. C, Particles and fields
影响因子: --
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